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3 years ago

2 -2y - 7+ 5y = 13 - 2y Is there one solution no solution or infinite solutions?

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

one solution;y=-4

Step-by-step explanation:

-2y-7+-5y=13-2y

-7y-7=13-2y

-5y-7=13

-5y=20

y=-4

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Peters mom gave him a $10 bill he purchased a magazine for $4.50 and the tax was 6% how much change did peter get

never [62]

Answer:

$5.50

Step-by-step explanation:

10 - 4.50 = 5.50

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2 years ago

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

What are 4 ways software developers use math

fredd [130]

Is there answers provided

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2 years ago

Help me now this is so hard

Kay [80]

Answer:

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Step-by-step explanation:

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6 0

2 years ago

Read 2 more answers

The volume of a cone is represented by the formula V = 1 T?n. If the volume of a cone is 30rt and the height is 2.5, what is the

Airida [17]

Answer:

radius is 3.38cm

Step-by-step explanation:

Note: the volume of a cone is given as

$V= 1/3 \pi r^2 h$

Step one:

Given Information

volume= 30cm^3

height= 2.5cm

Required

The radius of the cone

Step two:

substituting our data into the expression for the volume of a cone we can then solve for the radius r

$30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\$

divide both sides by 2.62

$30/2.62= r^2\\\\11.45= r^2\\\\r=\sqrt{11.45} \\\\r=3.38cm$

7 0

2 years ago