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2 years ago

"A number is greater than or equal to -3"

Mathematics

2 answers:

kompoz [17]2 years ago

6 0

Answer:

$x \geqslant - 3$

zysi [14]2 years ago

4 0

Step-by-step explanation:

$x \geqslant - 3$

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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3 years ago

The picture frames shown are both squares. The area of the smaller frame is 14 the area of the larger frame. Find the side lengt

allsm [11]

Answer: I think it helps with the square units that both squares have.

Step-by-step explanation:

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2 years ago

What is the value of the expression

Y_Kistochka [10]

Answer:

0.8

Step-by-step explanation:

We begin with the expression: $0.5+(-\frac{3}{4} )+0.25-(-\frac{4}{5} )$

First, we need to convert the fractions into decimals to make this easier.

$-\frac{3}{4}=-0.75$ and $-\frac{4}{5} =-0.8$

Once we have this, we can simplify it

$0.5-0.75+0.25-(-0.8)\\\\0.5-0.75+0.25+0.8\\\\0.75-0.75+0.8\\\\0.8$

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3 years ago

Help me with this question, please?

Virty [35]

Answer:vertices

Step-by-step explanation:

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3 years ago

Read 2 more answers

Subtract: (x^2 - 8x + 5)-(-3x^2 + 5x-9)

Marianna [84]

Answer: 4x^2 -13x + 14

Step-by-step explanation:

(x^2 - 8x + 5)-(-3x^2 + 5x-9)

Subtract -3x^2 from x^2

(4x^2 - 8x + 5)-(5x-9)

Subtract 5x from -8x

(4x^2 -13x + 5)-(-9)

Subtract 9 from 5

4x^2 -13x + 14

7 0

3 years ago