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Serggg [28]
2 years ago
6

Which of these equations is for a line perpendicular to y-3=5(x-2)?

Mathematics
1 answer:
olasank [31]2 years ago
6 0

Answer:

C

Step-by-step explanation:

y-3=5(x-2)  (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3   (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5   ===> gradient of -1/5

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What is the result when −2/3 subtracted from −14/15?
disa [49]

Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

7 0
2 years ago
A surveyor find that the cross section of the bottom of a circular pound has the shape of a parabola. The pond is 24 feet in dia
Rzqust [24]

Answer:

I wanna say 48 squared feet

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
May someone please help me with this :)
Anuta_ua [19.1K]

Answer:

3,080 cm

Step-by-step explanation:

simple -. -

3 0
3 years ago
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
3 years ago
Anybody have the answer?
natita [175]
But what are they midpoints of? AFE, BFC, CEF,AFB?

7 0
3 years ago
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