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Marta_Voda [28]
2 years ago
6

How does the parametric form help solve qx + rx = s for x ?

Mathematics
1 answer:
andrezito [222]2 years ago
7 0

Answer:

x=\frac{s}{q+r}

Step-by-step explanation:

1 Factor out the common term x

x(q+r)=s

2 Divide both sides by q+r

x=\frac{s}{q+r}

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In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Andreas93 [3]

Given:

Consider the below figure attached with this question.

m\angle 3=(x+30)^\circ and m\angle 4=(2x-80)^\circ.

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

m\angle 3=m\angle 4

(x+30)^\circ=(2x-80)^\circ

x+30=2x-80

x-2x=-30-80

-x=-110

x=110

Now,

m\angle 3=(110+30)^\circ

m\angle 3=140^\circ

Therefore, the measure of angle 3 is 140 degrees.

6 0
3 years ago
multiply the polynomials. What is the coefficient of the last term? −4m(2m3 −6m2 + m − 5) = −8m4 +24m3 −4m2 ___m
lesya692 [45]
+20m . Hope i helped
6 0
3 years ago
Read 2 more answers
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th
miss Akunina [59]

Answer:

The volume of the pyramid is V=187\ ft^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^{2}

H=6\ ft

substitute

V=\frac{1}{3}(93.5)(6)=187\ ft^{3}

5 0
3 years ago
Read 2 more answers
A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above
tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

5 0
3 years ago
In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased.
r-ruslan [8.4K]
This question is the same as one asking you for the slope of the given function / line.  It's immediately apparent from the function that the slope is $15.00/unit.
8 0
3 years ago
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