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2 years ago

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Which set of numbers below is in the correct order from least to greatest? −2.5<2 3 4 <−2 1 5 <2.1 −2 1 5 <2 3 4 &lt

;2.1<−2.5 −2.5<−2 1 5 <2.1<2 3 4 2.1<−2 1 5 <−2.5<2 3 4

1 answer:

RUDIKE [14]2 years ago

6 0

Hold on rq I just did this today let me grab the answers rq

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elena-s [515]

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Step-by-step explanation:

Given equation is:

$3x+2y = -8$

First of all, we have to find the slope of the given line

So,

$3x+2y = -8\\2y = -3x-8\\$

Dividing both sides by 2

$\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y =-\frac{3}{2}x-4$

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

$m_1 = -\frac{3}{2}$

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

$m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}$

Slope-intercept form is:

$y = m_2x+b$

putting the value of the slope

$y = \frac{2}{3}x+b$

Putting the point (3,1) in the equation

$1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1$

Putting the value of b

$y = \frac{2}{3}x-1$

Hence,

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

#LearnwithBrainly

8 0

2 years ago

8h + 16h -12 = 24h -12

lys-0071 [83]

To solve for h
8h +16h equals 24 h
24h-12= 24h-12
these are equal so no !after what number you put in for h it will be a true statement. in situations like these my math teacher told me to put "all sol."

5 0

2 years ago

Read 2 more answers

Troyanec [42]

Answer:

Political and economic changes since the fall of communism ... Generally, Central and Eastern Europeans approve of shift to ... In most of the countries surveyed, those with more education are more ... believe changes have had a good influence in Russia and Ukraine. ... What We Know About Gen Z So Far.

Step-by-step explanation:

3 0

2 years ago

30/80=e/40 what is the answer?

masya89 [10]

Answer:

15

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V1) and it is calculated using;

$V_1 = l * w * h$

$V_1 = lw h$

Since the pyramid has the same base area and height as the prism, the its dimension would be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V2) and it is calculated using;

$V_2 = \frac{1}{3}*(lwh)$

So, we have:

$V_1 = lw h$

$V_2 = \frac{1}{3}*(lwh)$

Substitute lwh for V1 in the second equation

$V_2 = \frac{1}{3}V_1$

Multiply both sides by 3

$3 * V_2 = \frac{1}{3}V_1 * 3$

$3 * V_2 = V_1$

Reorder

$V_1 = 3 * V_2$

$V_1 = 3 V_2$

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

3 0

2 years ago