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2 years ago

Find the midpoint of the line segment joining the points (10,14) and (-7,7).

Mathematics

1 answer:

LekaFEV [45]2 years ago

3 0

Answer:

(1.5, 10.5)

Step-by-step explanation:

$midpoint = \bigg( \frac{10 + ( - 7)}{2}, \: \: \frac{14 + 7}{2} \bigg) \\ \\ = \bigg( \frac{3}{2}, \: \: \frac{21}{2} \bigg) \\ \\ = = ( 1.5, \: \: 10.5 )$

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Need help what is this

Ann [662]

Answer:

2nd option

Step-by-step explanation:

Substitute the values of x from the domain into f(x) for range

f(2) = 2³ + 1 = 8 + 1 = 9

f(3) = 3³ + 1 = 27 + 1 = 28

f(4) = 4³ + 1 = 64 + 1 = 65

range is {9, 28, 65 }

3 0

2 years ago

Read 2 more answers

Math can you guys help me PLS

MissTica

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

4 0

2 years ago

Find the measure of an angle who's measure is 20 less than the measure of its supplement.

Dvinal [7]

supplementary angles add up to 180°.

x = measure of such angle

x + 20 = measure of her sibling.

since "x" has 20 less than her sibling, then clearly her sibling has to have 20 more than "x".

$\bf (x)+\stackrel{sibling}{(x+20)}=180\implies 2x+20=180\implies 2x=160 \\\\\\ x=\cfrac{160}{2}\implies x=80$

7 0

2 years ago

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

2 years ago

Choose the numbers that are terminating decimals. Select all that apply.

horsena [70]

Answer: A, C, and D

Step-by-step explanation:

A terminating decimal is a decimal that has an end. In other words, $\frac{1}{4} =0.25$ is one, but $\frac{1}{3} =0.3333...$ is not.

✓ A. 0.032

✗ B. 0.999...

✓ C. 0.525

✓ D. 0.75

3 0

1 year ago