For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=

Answer:

y= [tex]\frac{3}{2}[/tex]x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

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Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

y = 3/2 - 1

Step-by-step explanation:

First let's take two coordinates in the line.

( 2 , 2 )     ( 0 , -1)

You can use y = m x + c to find the equation of the line.

Here,

m → slope

c  → y - intercept

( 2 , 2 )                ( 0 , -1)

 ↑  ↑                    ↑  ↑

( x1 , y1 )            ( x2 , y2 )

First let's find the slope of the line.

m = ( y1 - y2) / ( x1 - x2)

m = ( 2 - (-1) ) / (2 - 0 )

m = ( 2 + 1 ) / 2

m = 3 / 2

Now let's find the y - intercept of the line.

For that, let's use ( 0 , -1 ) coordinate

y = m x + c

y = 3/2 × 0 - 1

y = 0 - 1

y = ( - 1 )

Therefore, the equation of the line is,

y = 3/2x - 1

Hope this helps you :-)

Answer:

9/4

Step-by-step explanation:

Answer:

9/2.25 = 4

Step-by-step explanation:

9/x = 4

x = 9/4 or 2.25

Answer:

This is a nonlinear function

Step-by-step explanation:

This is because in increase in y changes every time in this function, from 3 to 5 to 7

The answer is Non-Linear. Hope this helps :)

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

389

Step-by-step explanation:

MARK BRAINLIEST PLEASE

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

Answer:

Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.

Answer:

this is wrong answer

Step-by-step explanation:

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

8/10

Step-by-step explanation:

id hope your have a great day

Answer:

80%

Step-by-step explanation:

80÷100=.8 which is 80%

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

We have: [tex](-\frac{15}{18})[/tex] ÷ [tex](-\frac{20}{24})[/tex] = [tex]\frac{-15}{18} .\frac{-24}{20} = \frac{(-3)(5).(-4)(6)}{(3)(6).(4)(5)} = 1[/tex]

ANSWER: 1

ok done. Thank to me :>

Answer:

1

Step-by-step explanation:

[tex]( - \frac{15}{18} ) \div ( - \frac{20}{24} ) \\ now \: you \: have \: fraction \: divided \: by \: fraction \: then \: do \: reciprocal \: \\ ( - \frac{15}{18} ) \times ( - \frac{24}{20} ) \\ = 1[/tex]

Answer:

142.25 miles

Step-by-step explanation:

239- 96.75

142.25

Answer:

I believe it is f(2) = 12

Step-by-step explanation:

I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.

Answer:

David will have $12,450 if he makes no withdrawals.

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)

Answer:

Molly played 4 games

Answer:

The answer is to the problem is 18.

Answer: 1 1/2 x 4 4/7

= 3/2 x 32/7

= 96/14

Step-by-step explanation:

1. Write the whole number as a fraction with a denominator of 1.

2. Multiply the numerators.

3. Multiply the denominators

4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.

Answer:

66n-31m

Step-by-step explanation:

26n-7m+4(10n-6m)

26n-7m+40n-24m

66n-31m

Answer:

x < 2/3 y + 2 1/3

Step-by-step explanation:

put it in a graphing calculator and they matched, I do not know

Answer:

C

Step-by-step explanation:

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

The probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Given that the probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35, to determine, if the probability that she is accepted by the college is 0.65, the probability that she will obtain a scholarship given that she is accepted by the college, the following calculation must be performed:

Therefore, the probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Learn more about maths in https://brainly.com/question/26075432