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3 years ago

I am having trouble with this question

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Gradient=

$\frac{y1 - y2}{x1 - x2}$

$m = \frac{ - 12 - ( - 15)}{ - 5 - ( - 1)} \\ m = \frac{15 - 12}{1 - 5} \\ m = - \frac{3}{4}$

y= -¾x +c

To find c, substitute a coordinate.

When x= -1, y= -15

$- 15 = - \frac{3}{4} ( - 1) + c \\ c = - 15 - \frac{3}{4} \\ c = - 15\frac{3}{4}$

Thus the equation of the graph is

$y = - \frac{3}{4} x - 15 \frac{3}{4}$

Therefore the answer is C.

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The san paulo community swimming pool can be filled in 12 hr if water enters through a pipe alone or in 30 hr if water enters th

Nuetrik [128]

Alright, lets gets started.

If water enters through a pipe alone, swimming pool can be filled in 12 hr.

Or say, in 12 hrs, swimming pool can be filled with help of pipe.

It means in 1 hr, the part of swimming pool filled = $\frac{1}{12}$ (For pipe only)

Similarly, with hose only, , in 1 hr, the part of swimming pool filled = $\frac{1}{30}$

So, water is coming from both, pipe and hose , then in 1 hr, the part of pool filled will be = $\frac{1}{12} + \frac{1}{30}$

Suppose in x hrs, with both supplies, pipe and hose, pool is filled.

Means

$\frac{1}{12} + \frac{1}{30} = \frac{1}{x}$

making common denominator

$\frac{30}{360} + \frac{12}{360} = \frac{1}{x}$

$\frac{30 + 12}{360} = \frac{1}{x}$

$\frac{42}{360} = \frac{1}{x}$

Flipping

$\frac{360}{42} = x$

$x = \frac{60}{7}$

Means 8.57 hrs : Answer

Hope it will help :)

7 0

2 years ago

Please help!!-- What is the measure of arc AT in the circle O below?

Gala2k [10]

Answer:

Step-by-step explanation:

Arc AT = angle at the center 97°

4 0

3 years ago

The difference of two numbers is 7. Their sum is 41. What is the smaller number?

kicyunya [14]

17 is the smaller number.
EXPLANATION:

The numbers are 24 and 17.

Difference of 7? Check.

Sum of 41? Check.

BOOM magic

8 0

3 years ago

find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of t

Marina86 [1]

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles $a$ and $b$ .

$a + b +90 = 180$

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

$a = 2(b-12)$

Now we have two equations. If we simplify them, we get these:

$\left \{ {{a=90-b} \atop {a=2b-24}} \right.$

Now you can substitute $a$ in the first equation for $a$ in the second equation

$90-b=2b-24$

Add $b$ to both sides of the equation

$90 = 3b-24$

Add $24$ to both sides

$114 = 3b$

Divide both sides by 3

$38 = b$

Now, you can substitute $38$ for $b$ in the first equation and simplify.

$a = 90-38$

$a=52$

Therefore,

$a=52$ , and $b=38$

Don't forget to like and make it the brainliest!

3 0

2 years ago

Read 2 more answers

Find x if a] 5^x=625 root 5 b] 3^2x-1 = 243

katen-ka-za [31]

x=3, you can find this by using finding common bases for equation b because 243=3^5. Because of that you can get rid of three on both sides to get the equation 2x-1=5 and then just solve for x to get x=3. For the first equation 5^3=625 so that also proves x=3.

Sorry if my explanation is a little disorganized if you need more help feel free to ask

6 0

3 years ago