Answers
Answer:
here are the points (0,-6), (-2,1), (2,2), (6,3)
Step-by-step explanation:
you just use the rise over run rule, which means that the top number is the rise and the bottom number is the run. In this case the rise is 1 and the run is 4. So, you would move up one space then move 4 spaces to the right, but because the graph is cut off you can reverse it and it would be the same thing, it would just be in a different area of the graph. So you go, down 1 and left 4 instead. hope this helps :)
Related Questions
Rewrite the equation by completing the square.
x^2-x-20=0
(x+ ? )^2= ?
please help me
Answers
Answer:
[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]x^2-x-20=0[/tex]
This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:
[tex](x^2-x)-20=0[/tex]
For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:
[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]
However, when adding values to one side of the equation, we must to the same to the other side:
[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]
Complete the square:
[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]
Move 20 to the other side
[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]
I hope this helps!
A t-shirt cost 5 times as much as a singlet. For $800,a trader can buy 32 more singlet than t-shirts. How much does a t-shirt cost
Answers
Answer: [tex]\$100[/tex]
Step-by-step explanation:
Given
T-shirt cost 5 times as much as a singlet
Suppose the price of a singlet [tex]x[/tex]
Price of a T-shirt is [tex]5x[/tex]
According to the question, for $800, trader can buy 32 more singlet than T-shirt
[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]
Thus, the price of a T-shirt is [tex]5x=\$100[/tex]
Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.
Answers
Answer:
1. Cos θ = 6√2 / 11
2. Tan θ = 7 / 6√2
3. Cosec θ = 11 / 7
4. Sec θ = 11 / 6√2
5. Cot θ = 6√2 / 7
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = 7 / 11
Next, we shall determine the adjacent of the right triangle. This can be obtained as follow:
Sine θ = 7 / 11
Sine θ = Opposite / Hypothenus
Opp = 7
Hypo = 11
Adj =?
Hypo² = Opp² + Adj²
11² = 7² + Adj²
121 = 49 + Adj²
Collect like terms
Adj² = 121 – 49
Adj² = 72
Take the square root of both side
Adj = √72
Adjacent = 6√2
1. Determination of Cos θ
Adjacent = 6√2
Hypothenus = 11
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = 6√2 / 11
2. Determination of Tan θ
Opposite = 7
Adjacent = 6√2
Tan θ =?
Tan θ = Opposite / Adjacent
Tan θ = 7 / 6√2
3. Determination of Cosec θ
Sine θ = 7 / 11
Cosec θ =?
Cosec θ = 1 ÷ Sine θ
Cosec θ = 1 ÷ 7 / 11
Cosec θ = 1 × 11/7
Cosec θ = 11/7
4. Determination of Sec θ
Cos θ = 6√2 / 11
Sec θ =?
Sec θ = 1 ÷ Cos θ
Sec θ = 1 ÷ 6√2 / 11
Sec θ = 1 × 11 / 6√2
Sec θ = 11 / 6√2
5. Determination of Cot θ
Tan θ = 7 / 6√2
Cot θ =?
Cot θ = 1 ÷ Tan θ
Cot θ = 1 ÷ 7 / 6√2
Cot θ = 1 × 6√2 / 7
Cot θ = 6√2 / 7
1. Alec is building a model car. The model is 0.03 the size of the car. Let c represent the size of
the original car. What is an expression to represent the size of the model car
Answer:
Answers
Answer:
Step-by-step explanation:
There are several ways in which to express this ratio. First and according to the size the model is to the real car:
m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:
c = 33 1/3m (the car is 33 and a third times the size of the model).
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answers
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
I NEEEDDDD HELPPP ASAPPPP!!! it’s urgentttttt
Answers
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
En una situación en una institución educativa se realizó una encuesta a todos los estudiantes de cuarto grado de secundaria sobre las carreras desean seguir cuando termine sus estudios los resultados obtenidos se muestran en el siguiente cuadro gráfico
Answers
Answer:
La ingeniería es la opción más preferida y la contabilidad es la opción menos preferida entre los diferentes estudios.
Step-by-step explanation:
Los resultados obtenidos de la encuesta a estudiantes que siguen diferentes carreras luego de completar su 4 grado en la escuela secundaria. Cuando los estudiantes terminan sus estudios de secundaria, prefieren dedicarse más a la ingeniería. La escala salarial de los ingenieros es alta y también la demanda de ingenieros es alta en el país. La segunda mejor opción para los estudiantes serán los estudios comerciales, luego elegirán medicina, contabilidad y otros estudios. Las opciones están disponibles para que los estudiantes elijan su carrera preferida en la que identifiquen su interés.
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answers
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7
Find the perimeter of the polygon.
Answers
Answer:
36 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangle will be 10, 13, and 13
so the perimeter = 10 + 13 + 13
p = 36 units
Answer:
perimeter = 36
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, then
perimeter = (5 + 5) + (8 + 8) + (5 + 5)
= 10 + 16 + 10
= 36
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answers
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
PLEASE SOMEONE HELP ME WIT THIS AA
Richie and Justin are doing house renovations for Kirk. Kirk has promised them at least 20 total hours of work per week, but can pay them no more than $1,200 per week of total wages. Richie makes $25 per hour and Justin makes $45 per hour.
Letting x be the number of hours Richie works and y be the number of hours Justin works, write a system of inequalities that models this situation.
If in a given week, Justin and Richie want to both work 15 hours, will this lead to a solution to the system of inequalities? Justify your response.
PLEASE HELP ME THERE IS A IMAGE OF THE PROBLEM IF NEEDED ANY HELP IS APPROPRIATED :)
Answers
Answer:
Step-by-step explanation:
a) 1200≥25x+45y
b) YES, because:
1200≥25(15)+45(15)
1200≥375+675
1200≥1050
what is the value of a if va- vh is equals to 1
Answers
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Answers
Answer: 300
Step-by-step explanation:
Based on the information given in the question, the number of participants in the study will be calculated thus:
The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.
This will be:
= 8!/(8 - 3)!
= 8 × 7 × 6
= 336
Since 36 sequences were not assigned, therefore the numbers that were assigned will be:
= 336-36
= 300.
There were 300 participants.
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Answers
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
In △MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQ⊥MN, and HR ⊥NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box.
Answers
Answer:
15
Step-by-step explanation:
The given parameters are represented by drawing the triangle with the details given using MS Visio
The point Q is located between points M and N in ΔMNP
The point R is located between points N and P in ΔMNP
The incenter of the triangle = H
Line HQ is perpendicular to side MN on ΔMNP
Line HR is perpendicular to side NP on ΔMNP
The length of the segment QN = 36
The length of the segment HN = 39
By Pythagoras' theorem, HQ = √((HN)² - (QN)²)
∴ HQ = √(39² - 36²) = 15
HQ = 15
Given that H is the incenter of ΔMNP, the lengths of the perpendicular from H to the sides of the triangle are equal to the radius of the inscribed circle of the triangle
Therefore, the radius lengths are HQ, and HR
∴ HR = HQ = 15
HR = 15.
The difference of a number and six is the same as five times the sum of a number and two what is the number
Answers
the difference of x and 6 is x - 6 and
5 times the sum of x and 2 is 5(x + 2)
Equate both expressions
5(x + 2) = x - 6 ← distribute left side
5x + 10 = x - 6 ( subtract x from both sides )
4x + 10 = - 6 ( subtract 10 from both sides )
4x = - 16 ( divide both sides by 4 )
x = - 4 → A
Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP!
Answers
Answer:
x = 29.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos x = adj side/ hypotenuse
cos x = 67/77
Taking the inverse cos of each side
cos^-1( cos x) = cos^-1 (67/77)
x = 29.52626525
To the nearest tenth
x = 29.5
Help me fastttttttyyt
Answers
Answer:
1
Step-by-step explanation:
no exponent
Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)
Answers
Answer:
[tex]y = - \frac{1}{5} x + 7[/tex]
Step-by-step explanation:
Slope -intercept form:
y= mx +c, where m is the slope and c is the y- intercept.
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.
Slope of given line= 5
The product of the gradients of two perpendicular lines is -1.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{5} x + c[/tex]
Substitute a pair of coordinates to find the value of c.
when x= 0, y= 7,
[tex]7 = - \frac{1}{5} (0) + c[/tex]
c= 7
Thus, the equation of the line is y= -⅕x +7.
please! can somebody help me?
Answers
Step-by-step explanation:
The depth of the water is increasing by 2 feet each minute.
HELPP! You will get 15 points!
AD is an angle bisector of
Answers
Answer:
<CAB
Step-by-step explanation:
Since CAD is equal to DAB
AD bisects CAB
Can someone please help
Answers
Answer:
[tex]162.07[/tex]
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
Substitute,
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
[tex](m<ABD)+(m<DBC)=90[/tex]
[tex]42+(m<DBC)=90[/tex]
Inverse operations,
[tex]42+(m<DBC)=90[/tex]
[tex]m<DBC=48[/tex]
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]
Substitute,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
Inverse operations,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
[tex]adjacent=\frac{180}{tan(48)}[/tex]
[tex]adjacent=162.07[/tex]
Hello, stuck on 1 problem:
4/8 - 3/4 = ?
Answers
Answer:
-2/8
Step-by-step explanation:
All you need to do is to find the common denominator which is 8
so 4/8 is good to go and remains as it is
For 3/4 you have to multiply the fraction by 2, both numerator and denominator
you will get 6/8
so 4/8-6/8 would give you -2/8 or -1/4
Connor was given a box of assorted chocolates for his birthday. Each night. Connor
treated himself to some chocolates. There were originally 18 chocolates in the box
and after 3 nights, there were 9 chocolates remaining in the box. Write an equation
for C. in terms oft, representing the number of chocolates remaining in the boxt
days after Connor's birthday.
Submit RSE
acer
Answers
Answer:
c = 18 - 3d
Step-by-step explanation:
d = days after birthday
Answer:
C = 18 - 3t
Step-by-step explanation:
18 - 9 = 9
9 / 3 = 3
18 = chocolates at the beginning.
C = 18 - 3t
The answer is C = 18 - 3t.
help me with this math question
Answers
Answer:
points D and B. Answer choices D and E.
Step-by-step explanation:
The point, C, is at -1 1/4. Count over 2 points of either B or D, and you have your answer.
help me out please
(geometry)
Answers
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
calculate the distance between the point(5,6) and (7,8)
Answers
What is the slope of the line that passes through the points (4, 4) and (10, 7) ? Write your answer in simplest form.
Answers
Answer: 1/2x + 2
Step-by-step explanation:
To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Answers
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
Which of the answer choices could be the one missing data item for the following set, if the mode is 12?
7, 12, 9, 15, 12, 7, 9, 7, 12, 15
HELP I WILL GIVE BRAINLIEST
A. 15
B. 9
C. 7
D. 12
Answers
Answer:
D
Step-by-step explanation:
first of all, what is mode: it is the highest occuring number in a set of numbers.
now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.
therefore the answer is 12
12
Step-by-step explanation:
Mode: the number often being occurred
If the mode is 12 then 12 has to be occurred the most in the set otherwise it can’t be the mode
Then we have- but first let’s set up the numbers in oder to not confuse ourselves!
7, 7, 7, 9, 9, 12, 12, 12, 15, 15
Now we can see that 2 numbers (12 and 15) have been occurred the same way!
Since we’re trying to make the mode equal to 12, that one additional number will have to be 12
•••••••••••••••••••••••••••••••••••••••••••••••••
Note: please mark me as brainliest! If you do, i’ll go to every single one of your questions for now on.
