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Allisa [31]
3 years ago
12

Write an equation for a line perpendicular to y = 5x – 2 and passing through the point (-15,8) y=​

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0
The answer is y = -1/5x + 5

Perpendicular means the opposite reciprocal of the slope. The reciprocal of 5 would be 1/5. The opposite sign would be negative, so -1/5.

The equation that you use is y - y1 = m(x - x1)

The point is (-15,8).

x1 = -15
y1= 8
m= -1/5

y - 8 = -1/5(x - (-15)).

The 15 becomes positive.

y - 8 = -1/5(x+15)

Distribute

y - 8 = -1/5x - 3

Add 8 to both sides

y = -1/5x + 5

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What is the GCF of 30 and 49 ?
horsena [70]

The GCF of 30 and 49 is 1.

Steps to find GCF: <span><span>Find the prime factorization of 30
30 = 2 × 3 × 5 </span><span>Find the prime factorization of 49
49 = 7 × 7 </span><span>Multiply all the common factors obtained in steps i) and ii) above to find the GCF:

GCF = 1</span></span>
8 0
3 years ago
The 190° arc measures 25 mm. What is the diameter of the entire circle?
Ilia_Sergeevich [38]
You can start by converting from degrees to radians and using the relation

L=r\theta=\dfrac12d\theta

Or just set up the proportion equation,

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{25\text{ mm}}{180^\circ d}=\dfrac{190^\circ}{360^\circ}=\dfrac{\text{angle subtended by arc}}{\text{one revolution}}\implies d=\dfrac5{19}
5 0
4 years ago
If a right triangle has side lengths x + 9, x + 2, x + 10 is the hypotenuse, find the value of x
joja [24]
The total perimeter is 3x +21= ? first we isolate the variable by subtracting 21 on both sides. we then get 3x=21 now we divide by three on both sides and we find that x=7 to check this plug this in to x+9 x+10 and x +2 and see if x+10 is the hypotenuse.
4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form
pogonyaev

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

4 0
3 years ago
Find the equation of the line that is perpendicular to y=-1/3x and contains the point (4,-8)​
alekssr [168]

Answer:

y=3x-20

Step-by-step explanation:

If you will have any questions,don't hesitate to ask ☺

5 0
4 years ago
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