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Veseljchak [2.6K]
2 years ago
10

Identify an equation in point-slope form for the line parallel to y = 1/2 x - 7 that

Mathematics
1 answer:
lianna [129]2 years ago
5 0
<h3>Answer:   Choice D</h3>

======================================================

Explanation:

The given equation is in slope intercept form y = mx+b

We see that m = 1/2 is the slope of y = (1/2)x-7

We'll use this slope along with the point (x1,y1) = (-3,-2) to get the following

y - y_1 = m(x - x_1)\\\\y - (-2) = \frac{1}{2}(x - (-3))\\\\y + 2 = \frac{1}{2}(x+3)\\\\

Which is why choice D is the answer.

Note: this final equation is in point slope form.

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PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
diamong [38]

Q1.  Look at the picture.

C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4

Q2. Look at the picture.

A.\ 4-t

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

3(2)+y=5

6+y=5       <em>subtract 6 from both sides</em>

y=-1\\\\F.\ -1

Q4.

\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right

Substitute (*) to (**):

2m+3(3m-11)=0            <em>use distributive property</em>

2m+(3)(3m)+(3)(-11)=0

2m+9m-33=0       <em>add 33 to both sides</em>

11m=33      <em>divide both sides by 11</em>

m=3

Put the value of m to (*):

n=3(3)-11\\\\n=9-11\\\\n=-2

C. (3,\ -2)

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

w+3w=24

4w=24           <em>divide both sides by 4</em>

w=6\ in

3w=3(6)=18\ in

J.\ 18\ inches


7 0
2 years ago
Read 2 more answers
Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?
nata0808 [166]

Answer:

267 - 112 - 65 - 33 = $57

Step-by-step explanation:

subtract to get the answer

5 0
3 years ago
Find the total area the regular pyramid.
Ber [7]

Answer: 14\sqrt{3}

Step-by-step explanation:

1. You must apply the following formula for calculate  the total surface area the regular pyramid:

SA=\frac{pl}{2}+B

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

p=3s=3*4=12

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

l=\sqrt{4^2-2^2}=2\sqrt{3}

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

B=2*\frac{bh}{2}=2*\frac{2\sqrt{3}}{2}=2\sqrt{3}

Finally substitute values:

SA=\frac{12*2\sqrt{3}}{2}+2\sqrt{3}=14\sqrt{3}

6 0
3 years ago
Read 2 more answers
Two wrongs and One right: vertical angles. Please help only 2-3 questions
luda_lava [24]

Answer:

Solution one is correct and solution 2 and 3 are incorrect

Step-by-step explanation:

You simply make an equation because for vertical angles 2 angles that are across from each other have the same value (in this case 2x+30 and 5x-36.)

The equation: 2x+30=5x-36---->3x=66----> x=22

Solution 1 is correct.

Hope this helped!

3 0
3 years ago
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Ed is on a road trip. He has already traveled 208 miles and is driving at a rate of 70 miles per hour. Which equation could be u
Dmitriy789 [7]

The answer would be B. 208x+70=695

6 0
3 years ago
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