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3 years ago

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)

Mathematics

2 answers:

svp [43]3 years ago

8 0

It would be y=4x-14.

LenaWriter [7]3 years ago

6 0

Answer: The required slope-intercept form of the given linear equation is

$y=4x-14.$

Step-by-step explanation: We are given to write the following linear equation in slope-intercept form :

$y+2=4(x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the slope-intercept form of a straight line is written as

$y=mx+c,$

where 'm' is the slope and 'c' is the y-intercept of the line.

From equation (i), we have

$y+2=4(x-3)\\\\\Rightarrow y+2=4x-12\\\\\Rightarrow y=4x-12-2\\\\\Rightarrow y=4x-14.$

Thus, the required slope-intercept form of the given linear equation is

$y=4x-14,$ where slope, m = 4 and y-intercept, c = -14.

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Find the missing lengths of the sides.

Anarel [89]

Given:

The figure of a right angle triangle.

$a=b$

Hypotenuse = $9\sqrt{2}$ in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is $9\sqrt{2}$ in.

Using Pythagoras theorem, we get

$Hyponteuse^2=Base^2+Perpendicular^2$

$(9\sqrt{2})^2=(a)^2+(b)^2$

$81(2)=(a)^2+(a)^2$ $[\because a=b]$

$81(2)=2(a)^2$

Divide both sides by 2.

$81=(a)^2$

Taking square root on both sides.

$\pm \sqrt{81}=a$

$\pm 9=a$

Side cannot be negative. So,

$9=a$

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0

3 years ago

Help please, i will mark brainliest

dmitriy555 [2]

Answer:

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

3 0

3 years ago

G (r) = 25 – 3r<br> g(4) =

tensa zangetsu [6.8K]

Answer:

=25 - 3 × 4

= 25-12= 13