Find the distance between the two points (-4,6) and (3,-7)

Jennifer buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 12 inches.

Gnoma [55]

Answer:

Volume of block Jennifer bought:

V = side^3 = 12 x 12 x 12 = 1728 (in3)

Volume of sphere Jennifer wanted to make:

V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)

a, The number of spheres she can make:

N = 1728/33.5 = 51.58 = ~51

b, The area of remaining clay after she made a sphere:

A = 1728 - 33.5 = 1694.5 (in3)

Hope this helps!

:)

7 0

3 years ago

H(x)=-(x+11)^2+1. What are the zeros of the function? What is the vertex of the parabola?

Nataly_w [17]

Answer:

x=-14

Step-by-step explanation:

-x-11^2+1

-x-11^3

-x^14

x=-14

8 0

2 years ago

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lbvjy [14]

Answer:

$\sf \: \fbox{Option C) \: The salary of B is 6000₹}$

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000$

Multiplying above equation with twelve,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1$

and condition two,

The difference of their salaries is ₹2000

$\sf \: x - y = 2000$

Multiplying above equation with 20

$\sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2$

On adding equation 1 and equation 2,

$\sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}$

Substituting the value of x in,

$\sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}$

$\sf \: \fbox{The salary of B is 6000₹}$

Thanks for joining brainly community!

5 0

2 years ago

Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?

Fofino [41]

This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.

To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.

We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248

7 0

1 year ago

Find the value of -9-6-(-8). A)7 B)-7 C)-11 D)11

zhuklara [117]

Answer: B

Step-by-step explanation:

-9 - 6 - (-8) = -9 - 6 + 8 = -7

3 0

3 years ago