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LuckyWell [14K]

2 years ago

12

Express it in slope-intercept form.

1 answer:

Greeley [361]2 years ago

3 0

Answer:

$y = \frac{2}{3}x + 1$

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. We can see that the y-int. is 1, since that's where the line hits the y-axis. For slope, use $\frac{rise}{run}$ . To hit a point right above a whole number, you would have to go up for and left three, hence $\frac{2}{3}$ . Put that together and get $y = \frac{2}{3}x + 1$ .

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What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

2 years ago

Rewrite 5/6 and 1/4 as fractions with a least common denominator.

Lesechka [4]

10/12 and 3/12 6 x 2=12, what you do to the bottom you do to the top 5 x 2= 10 4 x 3=12, what you to the bottom you do to the top 1 x 3=3

3 0

2 years ago

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You are a mechanic. You have been given an engine job time of 0.7 hour about how many minutes should you allow for the job

vitfil [10]

I would allow 42 minutes for the job

6 0

3 years ago

My living room is 6m (to the nearest m) by 5m (to the nearest m). What is the maximum and minimum area of my living room? Write

Archy [21]

Answer:

24.75m ≤ 30m < 35.75m

Step-by-step explanation:

Minimum area:

5.5 (lower bound of 6m) * 4.5 (lower bound of 5m) = 24.75m

Maximum area:

6.5 (upper bound of 6m) * 5.5 (upper bound of 5m) = 35.75m

Normal area:

6*5=30m

I hope that makes some sense or helps a little!

3 0

2 years ago

A.A fish is 12 meters below the surface of the ocean. What is its elevation?

dalvyx [7]

A. -12
b. +28
c. 40meters

5 0

2 years ago

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