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sesenic [268]
3 years ago
12

Write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

y = 8x + 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

<em>Take the negative reciprocal of the 1st equation</em>

m = 8

y = 8x + b

Step 2: Find <em>b</em>

7 = 8(-1) + b

7 = -8 + b

b = 15

Step 3: Rewrite perpendicular equation

y = 8x + 15

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Every week, Mr. Kirkson uses 3 1/6 gallon of water to water every 1/3 square foot of his garden. How many gallons of water does
nata0808 [166]

3 1/6 / 1/3 =

19/6 / 1/3 =

19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot

5 0
2 years ago
Read 2 more answers
Describe the location of the point having the following coordinates. positive abscissa, positive ordinate Quadrant I Quadrant II
asambeis [7]
The abscissa is the x coordinate whereas the ordinate is the y coordinate.  Both x and y are positive in the first quadrant only.
8 0
3 years ago
6-2(x+6)=3x+4 <br><br><br> ...............................
juin [17]

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify  6-2x-126−2x−12  to  -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify  3x+4+2x3x+4+2x  to  5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify  -6-4−6−4  to  -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

5

10

​

=x

8 Simplify  \frac{10}{5}

5

10

​

  to  22.

-2=x

−2=x

9 Switch sides.

x=-2

x=−2

4 0
2 years ago
Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
MAVERICK [17]

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

So, in your case, the coordinates of the points double:

J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)

4 0
3 years ago
Segments CD, AE, and BF are medians of triangle ABC.
EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that AM = 4x - 5 and ME=x+3

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

AM=2\times ME

Substituting the values, we get,

4x-5=2(x+3)

Simplifying, we get,

4x-5=2x+6

Subtracting both sides of the equation by 2x, we have,

2x-5=6

Adding both sides of the equation by 5, we have,

2x=11

Dividing both sides of the equation by 2, we get,

x=5.5

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0
3 years ago
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