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-BARSIC- [3]
3 years ago
11

On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle ha

s points A prime (negative 4, 1), B prime (negative 4, 3), C prime (negative 2, 3). Triangle ABC was rotated about the origin. Which rule describes the rotation?
Mathematics
1 answer:
maw [93]3 years ago
6 0

Answer:

R0, 90°

Step-by-step explanation:

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40 points, please help with all of them
Kitty [74]

Answer:

\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Q1.

We have the equation of a line <em>p </em>in the standard form

4x-3y=7

Convert to the slope-intercept form:

4x-3y=7               <em>subtract 3x from both sides</em>

-3y=-4x+7              <em>divide both sides by (-3)</em>

y=\dfrac{4}{3}x-\dfrac{7}{3}

The slope m_1=\dfrac{4}{3}

From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}

Divide the slope of <em>p</em> by the slope of <em>q</em>:

\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2

Q2.

Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

y=3x+2\to m=3

Q3.

Parallel line have the same slope.

Calculate the slope from given points (-11, 5) and (-6, 1):

y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}

6 0
3 years ago
Please help me do this one complicated and confused
IrinaK [193]

Answer:

9

Step-by-step explanation:

Area of a triangle=(base*height)/2

1) Input the values

54=(12h)/2

2) Multiply both sides by 2

54*2=(12h/2)2

108=12h

3) Divide both sides by 12

108/12=12h/12

9=h

I hope this helps! Please comment if you have any questions.

3 0
4 years ago
Read 2 more answers
Larry wants to enlarge a cube with edges of 3cm so that it's volume will be 8 times larger. How long must each edge of the enlar
Monica [59]
The answer is 6 inches, 3*3*3 equals 27, the current volume of the cube, 27*8 equals 216, the new volume, 6*6*6 equals 216, so the side lengths equal 6 inches.
6 0
3 years ago
Please answer this correctly
Evgesh-ka [11]

Answer:

1/9

Step-by-step explanation:

The die has sides 1,2,3,4,5,6

P( less than 5) = 1,2,3,4 / total

                        =4/6 = 2/3

Then rolling again

P(greater than 5) = 6/total = 1/6

P( less than 5,greater than 5) = 2/3* 1/6= 1/9

3 0
3 years ago
if p(x) = x2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)? a: 5(x – 1) – x2 – 1 b: (5x – 1) – (x2 – 1) c: (
zavuch27 [327]
P(x) = x^2 - 1
q(x) = 5(x - 1)
(p - q)(x) = (x^2 - 1) - 5(x - 1)
7 0
3 years ago
Read 2 more answers
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