All categories

2 years ago

Find the equation of a line that passes through the point (4,15) and is perpendicular to the equation below.

1 answer:

8 0

The answer is D because to find the slope of a line that is perpendicular to another, you have to find the opposite reciprocal. so here the slope would be -1/4. now, take that slope and put it into an equation. like the following:
$y = \frac{ - 1}{4} x + b$
now to find b you must insert the points into the equation (plug in 4 for x, and 15 for y).
$15 = \frac{ - 1}{4} (4) + b$
b then equals 16. so, the answer is D.

You might be interested in

The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?

aivan3 [116]

Answer:

Volume of the sphere is 36π (or) 113.097 cubic centimetre.

Step-by-step explanation:

$given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{6}{2} \\ radius \: (r) = \: 3 \: cm \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = 3 \: cm \\ on \: substituting \: r \: = 3 \: \: in \: formula \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {3}^{3} \\ \: \: = \frac{4}{3} \pi \: 27 \\ \: = \: 4 \pi \times 9 \\ \: \: = 36\pi \\ \: \: = 113.097 \: {cm}^{3}$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

Making coconut cookies. The recipe calls for 420 g of coconut and 120 g of sugar. Only has 252 g of coconut. How much sugar must

geniusboy [140]

Answer: 72 grams.

Step-by-step explanation:

Let be "s" the amount of sugar in grams that must be used for 252 grams of coconut to keep the same ratio of coconut to sugar.

Knowing that in the recipe for the coconut cookies, should be 420 grams of coconut and 120 grams of sugar, and you only have 252 grams of coconut, you can set up this proportion to find "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}$

Now, you need to solve for "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}\\\\s(\frac{420grams}{120grams})=252grams\\\\s=(252grams)(\frac{120grams}{420grams})\\\\s=72grams$

4 0

2 years ago

The area beyond ± 2 standard deviations contains approximately what % of the area under the normal curve?

irakobra [83]

A. 99%
Enjoy the holidays :)

7 0

3 years ago

Age c) The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence?

FromTheMoon [43]

Answer:

Step-by-step explanation:

The perimeter is obtained by taking the sun of the fence :

Outer fencing :

Let's obtain b :

From Pythagoras :

b² = 15² - 12²

b = sqrt(225 - 144)

b = 9

Outer fencing = 2(12+6) + 2(8+9)

= 2(18) + 2(17)

= 36 + 34

= 70

Inner fencing :

(8 + 9 + 12 + 6 + 15 + 10) = 60

(70 + 60) = 130 yards

3 0

2 years ago

If a = 7 and b = 3 find the value of 2a + b

weeeeeb [17]

Answer is 17.

Both values are given where:
a = 7 and b = 3

Substitute the values into the given expression.

( 2 x 7 ) + 3

14 + 3 = 17

Hope it helps :]

5 0

2 years ago

Read 2 more answers