Answer:
The most basic fact about triangles is that all the angles add up to a total of 180 degrees. The angle between the sides can be anything from greater than 0 to less than 180 degrees. The angles can't be 0 or 180 degrees, because the triangles would become straight lines.
Step-by-step explanation:
basic only
What's the slope of (2, 1) (4,5)
Answer:
[tex]\displaystyle m = 2[/tex]
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 1)
Point (4, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{5 - 1}{4 - 2}[/tex]Subtract: [tex]\displaystyle m = \frac{4}{2}[/tex]Simplify: [tex]\displaystyle m = 2[/tex]Adam wants to buy a surfboard that costs $249. He has a summer job that pays him $6 per hour. The function y=6.50h represents Adam’s total savings. To be able to buy the surfboard, how many hours does he need to work?
Answer:
38.3 hours
Step-by-step explanation:
Given data
We have been given the function that describes his pay, which is
y=6.50h
Where h is the number of hours
now we have the amount y= 249
substitute
249=6.50*h
make the subject of the formula
249/6.5=h
h=38.3
Hence he needs to work for at least 38.3 hours
I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that? Function: x^4-5x^2+3
Answer:
[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis
Step-by-step explanation:
Given
[tex]f(x) = x^4-5x^2+3[/tex]
Required
Determine if it is symmetric
First, we check if the function is even by calculating f(-x)
[tex]f(x) = x^4-5x^2+3[/tex]
[tex]f(-x) = (-x)^4-5*(-x)^2+3[/tex]
[tex]f(-x) = x^4-5*x^2+3[/tex]
We have:
[tex]f(x) = f(-x) = x^4-5*x^2+3[/tex]
This implies that the function is even, and even functions are symmetric to the y-axis.
Hence:
[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis
What is the lcm and hcf of 1/3 and 2/9
Step-by-step explanation:
1/1 , 3
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 1 =3
2/2 , 9
3/1 , 9
3/1 , 3
1 , 1
HCF is 1
LCM is 3 × 3 × 2= 18
Write a slope-intercept form of the equation if it passed the
point (4, -1) that parallel to
y= -3/4x
Answer:
[tex]\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}[/tex]
Step-by-step explanation:
We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .
We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .
[tex]\sf\longrightarrow Slope =\dfrac{-3}{4}[/tex]
On using point slope form ,
[tex]\sf\longrightarrow y-y_1= m ( x - x_1) [/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow y - (-1) = \dfrac{-3}{4}( x - 4 ) [/tex]
Simplify ,
[tex]\sf\longrightarrow y +1 = \dfrac{-3}{4}x + 3 [/tex]
Multiply both sides by 4 ,
[tex]\sf\longrightarrow 4y + 4 = -3x + 12 [/tex]
Put all terms on same side , i.e. on LHS ,
[tex]\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}[/tex]
Hence the equation of the line is 3x + 4y - 8 = 0.
please help me solve this fractions. (show your work)
Answer:
23: 21[tex]\frac{23}{55}[/tex] 25: 1[tex]\frac{44}{45}[/tex]
Step-by-step explanation:
Question 23:
1) add the whole numbers together: 15+5=20
2)To add fractions, both need to have the same denominator. Find a number that is a multiple of both denominators (in this case 55)
[tex]\frac{9}{11}[/tex] → [tex]\frac{45}{55}[/tex] (multiply the numerator and denominator by 5)
[tex]\frac{3}{5}[/tex] → [tex]\frac{33}{55}[/tex] (multiply the numerator and denominator by 11)
3) add the fractions together
[tex]\frac{45}{55}[/tex] + [tex]\frac{33}{55}[/tex] = [tex]\frac{78}{55}[/tex] (add the numerators)
4) Turn the improper fraction into a mixed number
Divide 78 by 55. You'll get a whole number and a remainder. The remainder is the new numerator: In this case 55 enters 78 once with a remainder of 23. Therefore:
1[tex]\frac{23}{55}[/tex]
5) Add the whole numbers together to get the final answer:
20+1= 21
Answer: 21[tex]\frac{23}{55}[/tex]
Question 25:
Follow the above steps but subtract instead of adding
need help with part b of the attached screenshot please
9514 1404 393
Answer:
(b) 82.9253
Step-by-step explanation:
The first attachment shows the rectangles. The second shows the sum of their areas.
please help me out asap
(geometry)
Answer:
x = 30
Step-by-step explanation:
If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then
2x + 50 + 5x - 80 = 180
7x - 30 = 180 ( add 30 to both sides )
7x = 210 ( divide both sides by 7 )
x = 30
Find the domain and explain pls and thankyouuu
Answer:
[tex]x\neq 0\\x\neq 2[/tex]
Step-by-step explanation:
simplify the equation: [tex]\frac{6}{x(x-2)}[/tex]
Since the denominator can never equal 0, x can never equal 0 or 2.
Meaning that the domain is any x-value other than 0 or 2.
A bus travels 90 km in 1.5 hours (with a constant speed). How far can it travel in 7.2 hours (with the same speed)?
Answer:
distance=90km
time=1.5h
speed of the bus=distance /time
speed of the bus=90km/1.5h
speed of the bus=60km/h
therefore if 1.5h=60km/h
then 7.2h=(7.2x60)/1.5 =288km
plzz help steps if possible if not its ok j=i just need to pass this class
Answer:
[tex]\text{(B) }\cos 40^{\circ}=\frac{x}{60}[/tex]
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of [tex]x[/tex] and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
[tex]\boxed{\cos 40^{\circ}=\frac{x}{60}}[/tex]
An old-fashioned Chinese restaurant offers a family dinner where you get to choose one dish from “column A” (which has 8 dishes), one dish from “column B” (which has 10 dishes) and one dish from “column C” (which has 5 dishes). How many different family dinners can be chosen?
There are ___ possible dinners.
Answer:
There are 400 possible dinners.
Step-by-step explanation:
There are 8 dishes to choose from column A. For each of these 8 dishes, there are 10 dishes to pair with. For each of these 10 dishes, there are 5 dishes to go with from column C.
Therefore, multiply to get [tex]8\cdot 10\cdot 5=\boxed{400}[/tex] possible dinners.
*Note: Since the order of which you choose is fixed, we do not need to account for rearrangements of the same three dishes.
Find Point P is the incenter of DEF . point p of concurrency of the angle bisectors . find PT
PT is 8 because since P is the incenter it's equidistant from all sides.
Given l | m | n, find the value of x.
Z
m
54°
→n
8
Submit Answer
Answer: 2 =
attempt 1 out of 2
Plsssssssss helppppp
Answer:
126
Step-by-step explanation:
54 + x = 180
x = 180 - 54
x = 126
What is the lateral area of the pyramid shown below?
26 ft.
20 ft.
20 ft.
Answer:
Your correct answer is 1514.27
Step-by-step explanation:
Here is my step by step for you!
Identify the value of y.
Answer:
y = 3
Step-by-step explanation:
7. Complete the square to write
c(x)= x2 – 16x + 84 in vertex form.
Answer:
(x-8)²+20 vertex=(8,20)
Step-by-step explanation:
(x-8)² = -20
Graphing Form: y = 1(x-8)²+20
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?
Given:
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.
Total traveling time was 14 hours.
To find:
The distance between Melinda's house and mall.
Solution:
Formula used:
[tex]Time=\dfrac{Distance}{Speed}[/tex]
Let x miles be the distance between Melinda's house and mall.
Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.
Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.
Total traveling time was 14 hours.
[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]
[tex]\dfrac{6x+x}{24}=14[/tex]
[tex]7x=14\times 24[/tex]
Divide both sides by 7.
[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]
[tex]x=2\times 24[/tex]
[tex]x=48[/tex]
Therefore, the mall is 48 miles far from Melinda's house.
Porfa es para un examen ahorita
Answer: -46
Step-by-step explanation:
P(5) ⇒ x = 5P(9) ⇒ x = 9[tex]A=[-3(5)-2]+[-3(9)-2]=(-15-2)+(-27-2)=-17-29=-46[/tex]
PLEASE HELP ME ASAP
Malala is following this recipe for bread rolls.
She uses 500ml of water.
How much of each ingredient does she use?
Recipe: Makes 15 bread rolls.
480g flour
12g salt
6g yeast
30ml oil
600ml water
Answer & Step-by-step explanation:
500 is roughly about 83% of 600 (we know this because 500/600 = 0.833)
If she is following the recipe, then if she is using 83% of the water shown in the recipe, then she will be putting in about 83% of every ingredient.
480 * 0.83 = 398g flour
12 * 0.83 = 9.96g salt
6 * 0.83 = 4.98g yeast
30 * 0.83 = 24.9ml oil
and 500ml water
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if:
a) there must be exactly 3 students on the committee
b) there must be at least one teacher and at least one student on the committee
Answer:
a) 11,880
b) 7,770
Step-by-step explanation:
The number of teachers that volunteer = 6 teachers
The number of students that volunteer = 12 students
The number of people in the committee = 5 people
a) The exact number of student on the committee = 3 student
Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2
The number of teachers in the committee = 2 teachers
We get;
The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880
b) When there is at least one teacher and at least one student on the committee, we have;
₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770
The number of committees having at least one teacher and at least one student = 7,770
Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left
Answer:
63
Step-by-step explanation:
12x6=72
72-9=63
the answer is 63
Which equation is quadratic in form?
6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0
Answer:
6(x + 2)^2 + 8x + 2 + 1 = 0
Step-by-step explanation:
A quadratic equation has the variable with the highest power of 2
6(x + 2)^2 + 8x + 2 + 1 = 0 when foiled out it has the highest power of 2
6x4 + 7x2 – 3 = 0 power of 4
5x6 + x4 + 12 = 0 power of 6
x9 + x3 – 10 = 0 power of 9
Answer:
C (the third option)
Step-by-step explanation:
the reason that C is in quadratic form is because the first exponent is a multiple of the following exponent (s)
That is the easiest way I've learned to determine if an equation is quadratic or not. Keep in mind the equation will not always be in simples form so make sure you simplify it all the way.
Hope this Helps <3
Find the missing segment
Show and explain all of the steps used in order to simplify the following rational expression 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1.
Answer:
3x^2 + x^4 - x^3 + 3 - 6x
Step-by-step explanation:
Find Least Common Multiplier of 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1
3x^2 - 3 . x/3 x^3 - 6x^2 + 3x
Apply exponent rule: a^b + c = a^b a^c
x^2 = xx, x^3 x/3 = xx^2, x^2 = xx
= 3xx - 3xxx - 6xx + 3x
Rewrite -6 as 2 . 3
= 3xx - 3xxx + 2 . 3xx + 3x
Factor out common term 3x
= 3x(x - x^2(x/3) -2x + 1)
= 3x(- x^3/3 - x + 1)
Multiply each factor with the highest power:
(- x^3/3 - x + 1) . 3 . (1/x - 1\) . x
Simplify
3x^2 + x^4 - x^3 + 3 - 6x
Help needed ASAP , thank you!
Answer:
rhombus has all angles=90 degress
What type of slope is demonstrated by the line below? 5 (-1,3) --5 5 (0.-2)
A. Zero slope
B. Positive slope
C. Undefined slope
D. Negative slope
Answer:
D. Negative slope
Step-by-step explanation:
The slope goes down from left to right, so it is a negative slope
Up from left to right is a positive slope
A vertical line is undefined
A horizontal line is zero slope
Find PR given the mid-segment?
Answer:
im not sure but i think it might be 10??
Create a line that is parallel to AB↔ and passes through point C.
Draw 2 lines parallel to each other (AB and line B). Draw a point on line B and label it "C"
which point is on the line that passes through point H and is perpendicular to line FG?
Answer:
The correct answer is (-6, 10).
Step-by-step explanation:
You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.
Feel free to message me if you still have questions :)
Answer:
(–6, 10)
Step-by-step explanation:
