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Dafna11 [192]
2 years ago
9

Solve the equation 3x-1=x+9

Mathematics
2 answers:
Sever21 [200]2 years ago
5 0
5.

3x - 1 = x + 9

Subtract x on both sides

2x - 1 = 9

Add one on both sides.

2x = 10

Divide by 2 to get the x.

x = 5

Hope this helps!
GrogVix [38]2 years ago
3 0
3x - 1 = x + 9
2x - 1 =       9
2x      =      10
 x       =       5
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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that
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Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

For triangle ABC, we have:

AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4

BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5

CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2

For triangle DEF, we have:

DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2

EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5

FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1

Divide corresponding sides of the triangles to calculate the scale factor k

k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}

This gives

k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}

Evaluate the quotients

k = 2 = 2 = 2

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago
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A. mm2 is the correct answer
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Answer:

\approx 11.2\:\mathrm{in}

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The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 2r\pi\cdot \frac{\theta}{360}, where r is the radius of the circle and \theta is the angle of the arc.

In this problem, we're given:

\theta = 40^{\circ},\\r=16

Substituting given values, we get:

2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}

8 0
3 years ago
What the area of this shape ​
Rudiy27

Answer:it is 6,930

Step-by-step explanation:

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7. A vase 25 cm tall is positioned on a bench near a wall as shown. The shape of the vase follows the curve y = (x - 10)^2, wher
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Answer:

Step-by-step explanation:

the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall

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b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then

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the shortest distance from the top of the vase to the wall is 5 cm

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c) this is a left shift of the equation y = (x-10)^2

from b) we know that the left shift is 5 cm

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d) y = (x-10+5)^2

y = (x-5)^2    

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1 year ago
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