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3 years ago

Write the slope intercept equation for a line with the given points m=3/8, passes through (4,5)

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

The answer is: y = 3/8x + 28/8

Step-by-step explanation:

Given point: (4, 5)

Given slope m = 3/8

Uset the point slope form:

y - y1 = m(x - x1)

y - 5 = 3/8(x - 4)

y - 5 = 3/8x - 12/8

y = 3/8x - 12/8 + 5

y = 3/8x - 12/8 + 40/8

y = 3/8x + 28/8

Proof, use point (4, 5):

f(x) = 3/8x + 28/8

f(4) = 3/8(4) + 28/8

= 12/8 + 28/8

=40/8 = 5, giving (4, 5)

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training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage i

Ivahew [28]

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance. It can be calculated as follows :

$\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%$

So, the increase in distance is equal to 24.61%.

4 0

3 years ago

Write an equation that relates the number of peppers, n, and the<br><br> cost, C.

SCORPION-xisa [38]

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.

Answer:

$C = 0.45n$

Step-by-step explanation:

Given

$5\ peppers = \$2.25$

Required

Determine the relationship between C and n

$5\ peppers = \$2.25$

Divide both sides by 5, to get the cost of 1 pepper

$\frac{5\ peppers}{5} = \frac{\$2.25}{5}$

$1\ pepper = \frac{\$2.25}{5}$

$1\ pepper = \$0.45$

Multiply both sides by n to get the cost of n pepper

$n*1\ pepper = \$0.45*n$

$n\ pepper = \$0.45n$

So, we have:

$C = 0.45n$

5 0

3 years ago

Area of the shaded segment=

garik1379 [7]

The area of the entire sector is $(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi$

The area of the triangle OAB is $\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}$ .

So, the area of the segment is $\boxed{6\pi-9\sqrt{3}}$

5 0

2 years ago

Landon bought a camper with a sticker price of $3700. If he paid $210 a

Assoli18 [71]

The answer is B.
Because if you take 210 x 24= 5040
5040-3700=1340

8 0

3 years ago

Read 2 more answers

G(x) = -3x – 8 <br> g()=10

Georgia [21]

Answer:

g(-6) = 10

Step-by-step explanation:

-3x - 8 = 10

-3x = 18

x = -6

6 0

3 years ago