Mathematics, 05.09.2020 02:01 luey7990

In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b) is on the line l, what is the value of b?

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Answer from: adriana145

The value of is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

$y = m\cdot x + k$

Where:

, - Independent and dependent variable, dimensionless.

- Slope, dimensionless.

- y-intercept, dimensionless.

Given that line is perpendicular to $y = -\frac{2}{3}\cdot y$ , the slope is equal to:

$m = -\frac{1}{m_{\perp}}$

Where $m_{\perp}$ is the slope of the perpendicular line, dimensionless.

If $m_{\perp} = -\frac{2}{3}$ , then:

$m = -\frac{1}{\left(-\frac{2}{3}\right) }$

$m = \frac{3}{2}$

If x = 0 and y = -13 , the y-intercept of the line is:

$-13 = \frac{3}{2}\cdot (0) +k$

k = -13

The equation of the line is $y = \frac{3}{2}\cdot x -13$ . Given that y = b and x = 10 , the value of is:

$b = \frac{3}{2}\cdot (10)-13$

b = 15-13

b = 2

The value of is 2.

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh) (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

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