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3 years ago

Factor with step by step explanation. n2+40-28

Mathematics

1 answer:

hjlf3 years ago

5 0

N2+40-28=
Combine like terms
n2+40-28=n2+12
Factor out 2
n•2+12=2(n+6)
Therefore the answer is 2(n+6)

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Consider the figure below where MN is parallel to PQ, angle PTS is equal to (19x +5) and angle NST is equal to (17x +15), determ

topjm [15]

From the figure shown where MN is parallel to PQ:

m<MSR = 100°

m<STQ = 80°

By carefully observing the figure shown:

<MSR is vertically opposite to <NST

Vertically opposite angles are equal

m<NST = (17x + 15)

<NST is alternative to <PTS

Alternative angles are equal

Therefore, m<NST = m<PTS

m<NST = 17x + 15

m<PTS = 19x + 5

17x + 15 = 19x + 5

19x - 17x = 15 - 5

2x = 10

x = 10/2

x = 5

m<NST = 17x + 15

m<NST = 17(5) + 15

m<NST = 100°

Since m<MSR = m<NST

m<MSR = 100°

m<PTS = 19x + 5

m<PTS = 19(5) + 5

m<PTS = 100°

m<PTS + m<STQ = 180° (Sum of angles on a straight line)

100 + m<STQ = 180

m<STQ = 180 - 100

m<STQ = 80°

From the figure shown where MN is parallel to PQ:

m<MSR = 100°

m<STQ = 80°

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3 years ago

Choose the option that best describes what it means to be 60% done with a project.

Anit [1.1K]

B. There are 10Things to do to finish the project.and you have done 6 of them

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3 years ago

64x^2-81 what’s the answer ?

pychu [463]

Answer:

(8x-9)(8x+9)

Step-by-step explanation:

64x^2 - 81

Rewriting

(8x)^2 - 9^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(8x-9)(8x+9)

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3 years ago

Read 2 more answers

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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brainly.com/question/11042118

brainly.com/question/2455974

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3 years ago

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96

Yakvenalex [24]

Answer:

12is the answer

Step-by-step explanation:

let the width be 2c

length*width =96

4*2c=96

8c=96

c=96/8

c=12

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3 years ago