Answer:
[tex]y = 2x + 7[/tex]
Step-by-step explanation:
Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?
In Depth: Parallel lines never touch so they are Lines that have same slope but different y intercept. An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them.
Back to the question, let use the Point Slope Form,
[tex]y - y_{1} = m(x - x_{1})[/tex]
Where y1 is the y coordinate of the given point, m is the slope and x is the x coordinates of the given points.
Substitute
[tex]y - ( - 1) = 2(x - ( - 4)[/tex]
[tex]y + 1 = 2(x + 4)[/tex]
Simplify
[tex]y + 1 = 2x + 8[/tex]
[tex]y = 2x + 7[/tex]
Find the length of each side and the
perimeter.
(5n -17) cm
(2n + 1) cm
n cm
7n-16
Step-by-step explanation:
Sry can u give me the picture
f(x) = 2x + 7 with domain: x = {2, 3, 5, 9}
Answer:
2(2)+7=11
2(3)+7=13
2(4)+7=15
2(5)+7=17
2(9)+7=25
Step-by-step explanation:
2(2)+7
4+7=11
2(3)+7
6+7=13
2(4)+7
8+7=15
2(5)+7
10+7=17
2(9)+7
18+7=25
find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??
Step-by-step explanation:
Eueydhhdgdgdbdbddbdbhd
Answer:
Hello,
[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]
Step-by-step explanation:
[tex]Formula: \ L=\theta*R\\[/tex]
[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]
what value of x is in the solution set of -5-15>10+20x
Answer:
-3/2 >x
Step-by-step explanation:
-5-15>10+20x
Combine like terms
-20 > 10 +20x
Subtract 20 from each side
-20 -10 > 10+20x-10
-30> 20x
Divide by 20
-30/20 >20x/20
-3/2 >x
Answer:
-3/2 > x
Step-by-step explanation:
-5 - 15 > 10 + 20x
^ ^
-20
-20 > 10 + 20x
-10 -10
---------------------
-30 > 20x
----- -------
20 20
-3/2 > x
Hope this helped.
Find m so that the equation msin²x+cos²x=m-1 has a solution on the interval (0;π/4)
msin²x+cos²x=m-1
since the interval are 0 and π/4
Therefore
msin²(0)+cos²(0)=m-1
m(0)+1=m-1
1=m-1
m=2
use π/4 now
msin²(π/4)+cos²(π/4)=m-1
m(1/2)+(1/2)=m-1
m+1=2(m-1)
m+1=2m-2
-m=-3
m=3
Therefore
m=2 or 3
If the area of a rectangular field is x2 – 3x + 4 units and the width is 2x – 3, then find the length of the rectangular field.
Answer:x²-3 x+4/ 2x-3 units
Step-by-step explanation:
Area = Length * Width sq. units
x^2 - 3x + 4 = Length * 2x - 3
=>Length = x^2- 3 x + 4/ 2 x − 3 units
find the angle measures given the figure is a rhombus.
Answer:
92
Step-by-step explanation:
180-88
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
To obtain an estimate of a parameter of a population, we use confidence intervals.
Confidence intervals:
The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.
Thus, you should select the highest sample size in the options.
For more on confidence interval/margin of error, you can check https://brainly.com/question/22718960
what does the rational form of the ratio a:b look like
Answer:
a/b
Step-by-step explanation:
The rational form of a:b or simply a/b is in the simplest form.
Answer:
Step-by-step explanation:
the answer is option 2 from the above sheet
The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?
Answer:
40 kg
Step-by-step explanation:
[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]
y · 83.75 = 5 · 670
83.75y = 3350
83.75y ÷ 83.75 = 3350 ÷ 83.75
y = 40
The amount of rice you can buy for ₹670 is given by the equation
A = 40 kilograms
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of rice for ₹670 be A
Now , the equation will be
The amount for 5 kg of rice = ₹ 83.75
So , the amount for 1 kg of rice = amount for 5 kg of rice / 5
The amount for 1 kg of rice = 83.75 / 5
The amount for 1 kg of rice = ₹ 16.75
So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice
The amount of rice for ₹ 670 = 670 / 16.75
The amount of rice for ₹ 670 = 40 kilograms
Therefore , the value of A is 40 kilograms
Hence , the amount of rice is 40 kg
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HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM
Answer:
50 km
Step-by-step explanation:
c = √a^2+b^2
=√30^2+40^2
= √900 + 1600
=√2500
= 50 km
Answer:
50km
Step-by-step explanation:
please help me
its urgent :)
Step-by-step explanation:
i Will help wit Shape A and Next Try to figure out Shape B
shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line
Shape A Coordinate
X = 7, 8.5, 7,5, 7.5,
Y = 7, 7, 6.5 , 5
if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning
Y and x have a proportional relationship, and y=4 when x=12
Answer:
multiply 4 by 12 okay bro
Answer:
y = [tex]\frac{1}{3}[/tex] x
Step-by-step explanation:
Given that y and x are proportional then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 4 when x = 12 , then
4 = 12k ( divide both sides by 12 )
k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of proportion
help please help......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
What are the root(s) of the quadratic equation whose related function is graphed below?
Answer:
0 and 4
Step-by-step explanation:
roots are where the graph intersects at x axis
The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.
What is the quadratic equation?A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.
If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.
The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.
From the given option the roots of the equation are 0 and 4 both are positive.
Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.
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draw two intersecting line segment AB and CD intersecting O. Measure the size of each pair of vertically opposite angles. Verify each pair of vertically opposite angles are equal.
When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.
A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.
From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.
From the attached diagram, it can be observed that;
m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]
But;
m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)
also,
m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)
Therefore it can be verified that each pair of vertically opposite angles are equal.
NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.
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Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?
Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:
Divide total phone calls by 3:
27/3 = 9
Multiply that by text ratio:
9 x 5 = 45
She sent 45 texts.
Center (-1,5); passes through (-4,-6)
Answer:
what is the question
Step-by-step explanation:
CAN ANYONE PLEASE EXPLAIN TO ME WHAT ON EARTH THIS MEANS
the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)
Please help hurry!
Find the lateral surface area of the instant oatmeal container. Round your answer to the nearest hundredth.
SA = in2
Answer:
≈ 145.23 in²Step-by-step explanation:
The lateral surface area is:
SA = 2πrh = 2*3.14*2.5*9.25 ≈ 145.23 in²[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]
[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]
[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]
SCREAMING HELP ALERT !!
Answer: 1/3
Step-by-step explanation:
On side of the smaller quadrilateral is 8, the same side on the larger one is 24. 8 times 3 is 24. So the scale factor from the smaller to the larger is 1/3.
Answer:
1/3
Step-by-step explanation:
similar means all sides are proportinal, in this case one side is 3x bigger in the 2nd figure, so the same must be true of the other fig.
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00
Answer:
$17,000 at 14% and $9,000 at 2%
Step-by-step explanation:
Let x = amount invested at 14%.
Let y = amount invested at 2%.
x + y = 26000
0.14x + 0.02y = 2560
-0.02x - 0.02y = -520
(+) 0.14x + 0.02y = 2560
-------------------------------------
0.12x = 2040
x = 17,000
x + y = 26000
17000 + y = 26000
y = 9000
Answer: $17,000 at 14% and $9,000 at 2%
Expand.
Your answer should be a polynomial in standard form.
Answer:
-p^4 + 4p^3 - 5p^2 + 8p - 6
Step-by-step explanation:
Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.
When we expand:
-p^4 - 2p^2
+ 4p^3 + 8p
-3p^2 - 6
Group, ordering from highest to lowest "degree" (exponent).
-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6
Combine like terms.
-p^4 + 4p^3 - 5p^2 + 8p - 6
Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
TO BE ANSERED ASAP
If n = 4, then 9ˆ8 ÷ 9 n is equal to__________________.
Answer:
1,195,742.25 (final answer since instructions did not include rounding up or anything)
Step-by-step explanation:
n = 4
The given expression is:
9^8 ÷ 9n
USE PEMDAS order of operations and solve:
9^8 ÷ 9n
= 43046721 ÷ 9n
Substitue n with 4 and solve:
43046721 ÷ 9(4)
= 43046721 ÷ 36
= 1,195,742.25
Answer:
9^4
Step-by-step explanation:
We know that a^b ÷ a^c = a^ (b-c)
9^8 ÷ 9^4
9^(8-4)
9^4
[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..
[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]
Hope it helps.
RainbowSalt2222
(Ight ima need some help!! ) solve the following equation (2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0. solve for x and show work
(2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0
Answer:
x = [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
I used the FOIL method
[(2x + 3) (3x + 2)] − [(3x + 2) (2x− 3)] = 0
[tex](6x^{2} +4x+9x+6) - (6x^{2} -9x+4x-6)=0[/tex]
[tex](6x^{2} +13x+6) - (6x^{2} -5x-6)=0[/tex]
[tex](6x^{2} +13x+6) - 6x^{2} +5x+6=0[/tex]
combine like terms
[tex]6x^{2} -6x^{2} = 0[/tex]
[tex]13x+5x=18x[/tex]
[tex]6+6=12[/tex]
so, [tex]18x +12 = 0[/tex]
subtract 12 on both sides
[tex]18x=-12[/tex]
divide by 18 to isolate x
[tex]x=-\frac{12}{18}[/tex]
and simplifies to
[tex]x=-\frac{2}{3}[/tex]
Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:
Answer:
2440
Step-by-step explanation:
an=115
a=7
Sn=n/2(a+an) [Where n is no. of terms]
= 40/2(7+115)
= 20(122)
= 2440
which expression is equivalent to \root(3)(x^(5)y)
Answer:
[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{5}y}[/tex]
Required
The equivalent expression
We have:
[tex]\sqrt[3]{x^{5}y}[/tex]
Rewrite as an exponent
[tex]\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}[/tex]
Open bracket
[tex]\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}[/tex]
[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]
