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2 years ago

13

Which equation shows a line with a slope of 3 that passes through the point ((1,-2)

1 answer:

qaws [65]2 years ago

7 0

Answer:

y = 3x - 5

Step-by-step explanation:

Slope m = 3

Using (1,-2)

Slope-intercept: y = mx + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

then y = 3x - 5

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An Equilateral Triangle has sides that all measure 10 inches. What is

densk [106]

Answer:

easy peasy lemon squeasy

Step-by-step explanation:

1. base of triangle: it is an equilateral triangle, so any side of the triangle you take is the base, (usually the largest side of the triangle is the base)

so that would be => 10 inches,

2. a property of an equilateral triangle is that , the median of the triangle coincides with the height of the triangle,

therefore, the height bisects the base and makes a right triangle with another side, therefore by using the Pythagoras theorem, we find it to be 8.66(approx)

now,

area of the triangle would be (putting the values we just found in the formula given)

=> [(10)(8.66)]/ 2

=>43.3 square inches

4 0

3 years ago

If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,

jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

$Q_d = 48 - 9P$

$Q_s = 12 + 6P$

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

$Q_d = Q_s$

This gives:

$48 -9P = 12 + 6P$

Collect Like Terms

$-9P - 6P = 12 - 48$

$-15P = -36$

Solve for P

$P = \frac{-36}{-15}$

$P =2.4$

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

$Q_d = 48 - 9P$

$Q_d = 48 - 9 * 2.4$

$Q_d = 26.4$

<em>Hence, the equilibrium quantity is 26.4</em>

7 0

3 years ago

What is the relationship between the measure of an angle and the reflex measure of the angle?

Alenkinab [10]

Let the measure of an angle be 'x'
Then the reflex angle will be measured by the formula (360-x)
x +(360-x) = 360

3 0

3 years ago

There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in <u>three</u> full boxes $=3x$

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

7 0

3 years ago

14x + 54 = 11x + 96 x=

jenyasd209 [6]

Move the 11x to the left and the +54 to the right. Their signs will flip:

14x-11x = 96-54
3x = 42
x = 14

4 0

3 years ago

Read 2 more answers