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svetoff [14.1K]
3 years ago
9

Rewrite the following equation in standard form. y + 2 = -8(x + 6)

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer:

y=-8x-50

Step-by-step explanation:

Standard form or slope intercept form is y=mx+b  

m=slope or (y2-y1/x2-x1) or rise/run

b= y-intercept or where the graph of the equation crosses the y-axis

So we have;

y+2=-8(x+6)

y=-8(x+6)-2

y=-8x-48-2

y=-8x-50

Any questions please feel free to ask. Thanks.

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Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒     S=rФ -------------where  r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒   When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. sin\frac{17\pi }{6} \\

we know π=180°

hence 17/6 π=?---------------cross multiply

\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

6 0
3 years ago
What is the slope of the line through (-9,6) and (-3, 9)?
Artyom0805 [142]
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3 0
3 years ago
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
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We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


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3 years ago
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Harrizon [31]

Answer:

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​For the two right triangles above, explain why
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Answer:

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Step-by-step explanation:

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