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3 years ago

Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Add up the x points and divided by 2
same to go for the y points
so the and is (4,-2)

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What is the value of x, if 105% of 90 is equal to 200% of x?

lisov135 [29]

From the given equation

105% * 90 = 200% * x

105/100 * 90 = 200/100 * x

105*90 = 200*x

x = 105*90/200

X = 21*9/4

X = 189/4

x = 47.25

Value of x = 47.25 or 47 1/4

7 0

3 years ago

Read 2 more answers

I need help with this

Pachacha [2.7K]

Answer:8a-28b+15c

Step-by-step explanation:

3 0

2 years ago

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Ann [662]

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540 $cm^{3}$ , Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.

$1540cm^{3} =\frac{1}{3}\pi r^{2} h$

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

$1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h$

$1540cm^{3} =\frac{154}{3}h$

Move $\frac{154}{3}$ to another side. 1540 divided by $\frac{154}{3}$ to calculate what is the value of h, h is the height of a cone. Like this.

$\frac{1540cm^{3} }{\frac{154}{3} } =h$

$30=h$

Rearrange the h.

$h=30$

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0

3 years ago

Read 2 more answers

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

39,477 round to 1,000

user100 [1]

40,000 is your answer hope I could help

6 0

3 years ago