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3 years ago

Solve the equation 7h-5(3h-8) = 72

Mathematics

2 answers:

o-na [289]3 years ago

7 0

Steps:

Step 1: Simplify both sides of the equation.

7h−5(3h−8)=72

7h+(−5)(3h)+(−5)(−8)=72(Distribute)

7h+−15h+40=72

(7h+−15h)+(40)=72(Combine Like Terms)

−8h+40=72 −8h+40=72

Step 2: Subtract 40 from both sides.

−8h+40−40=72−40

−8h=32

Step 3: Divide both sides by -8

Answer: h=−4

<em><u>The answer for this question is h=-4</u></em>

<em><u>Please mark me brainliest</u></em>

<em><u>Hope this helps.</u></em>

frosja888 [35]3 years ago

3 0

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

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|x|+5=18 a. 5 or -5 b.13 or -13 c.18 or -18 d.23 -23

dezoksy [38]

X+5=18
first get rid of the 5
so X+5-5=18-5
which makes X=13
if any questions please ask
$b. 13$

6 0

3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

3 years ago

SOMEONE HELP ME PLEASE ILL GIVE BRAINLY

e-lub [12.9K]

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

$x^2-2x=3$

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

$x^2-2x+1=3+1$

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

$(x-1)^2=4$ (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y: