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2 years ago

29. The table below shows some of the values of and for a linear function.

Mathematics

2 answers:

Masja [62]2 years ago

3 0

The first graph is the solution for given table and the linear equation is y=3x+2.

<u>Step-by-step explanation:</u>

The linear equation of the line is y=mx+c.

where m is the slope and c is the y intercept.

The slope $m=\frac{rise}{run} .$

$\\rise=y_{2} -y_{1}.\\run=x_{2}- x_{1}.$

Choose two points (0,2) and(1,5).

$m=\frac{5-2}{1-0} \\m=\frac{3}{1}.\\$

y=3x+c.

To find the y-intercept value substitute (0,2) in the equation.

2=0+c.

c=2.

∴y=3x+2.

FrozenT [24]2 years ago

3 0

what is itttt

Step-by-step explanation:

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To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

2 years ago

How many solutions are there in this equation 8 (x-3)=8x-24

kari74 [83]

Performing the indicated multiplication on the left side gives you:

8x-24=8x-24,

8x=8x

1=1

These expressions are true for any real value of x and thus has infinitely many solutions...

3 0

2 years ago

Read 2 more answers

Find the distance between the points (3, 8) and (0,4).

Bingel [31]

Answer:

Step-by-step explanation:

(3,8) (0,4)

X1 = 3 X2 = 0

Y1 = 8 Y2 = 4

$D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2} }$

$D= \sqrt{(3-0)^{2} + (8-4)^{2} }$

Do what's in the parentheses so...

3-0= 3
8-4= 4

Now plug it in!

$D= \sqrt{(3)^{2}+(4)^{2} }$

Now you are going to finish the parentheses so...

(3)^2= 9
(4)^2= 16

Plug that in so that you have this...

$\sqrt{9+16}$

Add 9+16 to get...

$\sqrt{25}$

Then you are going to find the number or numbers that make this a perfect square...

$\sqrt{25}= 5$

So 5 is your answer

7 0

2 years ago

Help me pls it’s using graphs to analyze date i’m usually fine with this i’m just stuck lol

koban [17]

have a good night :)

Step-by-step explanation:

17-19=2 20-22=3 23-25=5 26-28=6

4 0

2 years ago

The length of the red line segment is 18, and the length of the blue line segment is 8. How long is the transverse axis?

BabaBlast [244]

Your answer is 10 :)

5 0

2 years ago