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3 years ago

1 a. A cube has an edge length of 4.3 meters. What is the volume of the cube?

1 answer:

3 0

The volume for 1 a. is 79.50700. (You just multiply 4.3 by itself three times)
I don't know what the second one is though, sorry.

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

What is the gradient?

notsponge [240]

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = $\frac{2-0}{2-1}$

= 2

Gradient = 2 will be the answer.

7 0

3 years ago

Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40

Yuki888 [10]

One x- value of the solution is : -2 or -8

<h3>What is an equation?</h3>

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

$x^{2}$ + 7x -24 = -3x - 40

$x^{2}$ +7x +3x -24 +40 = 0

$x^{2}$ + 10x +16 = 0

$x^{2}$ +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

Learn more about system of equation : brainly.com/question/14323743

#SPJ1

5 0

2 years ago

Skylar got a manicure for $28 and pedicure for $35 at the salon. If she plans to tip 15%, how much will she pay in total? Must s

d1i1m1o1n [39]

Answer:

Hi there!

Your answer is:

$72.45

Step-by-step explanation:

[28+ (28× .15) ] + [ 35 + (35× .15) ]

( 28+ 4.2) + (35 + 5.25)

32.2 + 40.25

72.45

Hope this helps

4 0

3 years ago

If you have 20 dollars and you you need to give your friend 5 dollars out of that, how much money will you have left

notsponge [240]

Answer: 15 dollars
20 -5 = 15

4 0

3 years ago