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sveta [45]
3 years ago
10

Complete the equivalent equation for –7x – 60 = x2 + 10x.

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Answer:

x = -5

x = -12

Step-by-step explanation:

- 7x - 60 = x^2 + 10x

add 7x to both sides

x^2 + 17x = -60

add 60 to both sides

x^2 + 17x + 60 = 0

factorise quadratic

(x + 12) (x + 5) = 0

<em>x = -12</em>

<em>x = -12x = -5</em>

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The circumference of the earth is about 40050 km. Which of the following is the closest approximation of the diameter? Use 3.14
prohojiy [21]
D is the answer
40050 divided by 3.14 is 12754.77707
7 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
3 years ago
Quadratic Functions: Vertex Form
Keith_Richards [23]

Answer:

(5, -9).

Step-by-step explanation:

The vertex  if (h, k).

So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).

7 0
3 years ago
Plz help i need this done now.
tatuchka [14]

Answer:

infinite solutions

Step-by-step explanation:

4x+4(3x+7) = 8(2x-3) +52

Distribute

4x+12x+28 = 16x-24+52

Combine like terms

16x+28 = 16x +28

Subtract 16x from each side

16x-16x+28 = 16x-16x +28

28=28

This is true, so there are infinite solutions

8 0
3 years ago
What is the equation of the linear function?
docker41 [41]

Answer:

y = mx+b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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