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3 years ago

The graph shows a vertical translation of y = x.

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

D is the answer

Step-by-step explanation:

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If a line crosses though (5,-3) and (-1,6);what is the y-intercept?

harina [27]

(5,-3) (-1,6)
y=mx+b

calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5

y=-1.5x+b

insert the (5, -3) point to calculate b:

-3=-1.5*5+b
-3=-7.5+b
4.5=b

b=the y intercept, so the line intercepts x=0 at y=4.5

6 0

3 years ago

The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2

vaieri [72.5K]

Answer:

r equals StartFraction C Over 2 pi EndFraction

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

where

r is the radius of the circle

Solve for r

That means -----> isolate the variable r

Divide by 2π both sides

$\frac{C}{2\pi}=\frac{2\pi r}{2\pi}$

Simplify right side

$\frac{C}{2\pi}=r$

Rewrite

$r=\frac{C}{2\pi}$

r equals StartFraction C Over 2 pi EndFraction

5 0

3 years ago

Read 2 more answers

4. Tikili wants to invest $3500 at her local bank. She will receive an interest rate of 5% compounded

alexandr402 [8]

Answer:

$3863.35 = 3500(1 + \frac{0.05}{2} )^{(2 \times 2)}$

Step-by-step explanation:

The formula for this equation is

$a = p(1 + \frac{r}{n} )^{(n \times t)}$

a is the final result

p is the starting amount (deposited)

r is the interest rate

n is the number of times it's compounded

t is the time

because it says compound annually and it's after 2 years both t and n equal 2. I rounded a for you, but if you don't need it rounded here it is: 3863.345117

Please double check me I may be wrong, this is my second time doing these type of questions

3 0

3 years ago

Supposed you have been given the task of engineering this product knowing that in your state the cost of electricity is 18 cents

Usimov [2.4K]

You would have about 3472 Hours

.18\8=1.44 for 8 hour

5000/1.44=3472

Hope this helps :)

5 0

3 years ago

Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% p

Nimfa-mama [501]

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

3 0

3 years ago