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eimsori [14]
2 years ago
5

Select the correct answer. Given the equations `9x + (3)/(4)y = 6` and `2x + (1)/(2)y = 9`, by what factor would you multiply th

e second equation to eliminate y and solve the system through linear combinations? A. `-4/3` B. `-3/4` C. `-3/2` D. `-7/2`
Mathematics
1 answer:
Minchanka [31]2 years ago
4 0

-3/2 is the  factor would multiply the second equation to eliminate y.

The correct option is (C).

<h3>What is factor?</h3>

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given equation is :

9x+3/4 y =6

2x+1/2 y =9

If we have to eliminate the y variable so we have to multiply it by factor -3/2

Then the second equation become

-3/2(2x+1/2 y =9)

-3x- 3/4 y =- 27/2

As we can see the y variable of both the equation is same.

Hence, -3/2 is the  factor would multiply the second equation to eliminate y.

learn more about this concept here:

brainly.com/question/24182713

#SPJ1

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17. A gardener is installing a fence around his garden. Let x represent the width of
Serhud [2]

Hey there!

Answer:

B. 3x + 4 ft.

Step-by-step explanation:

Remember that:

Perimeter of a rectangle: P = 2l + 2w

Given:

P = 8x + 8

w = x.

Plug the given information into the equation:

8x + 8 = 2l + 2x

Subtract 2x from both sides:

6x + 8 = 2l

Divide both sides by 2:

(6x + 8)/2 = 2l/2

3x + 4 = l.

Therefore, the length of the garden is:

l = 3x + 4 ft.

6 0
3 years ago
Read 2 more answers
Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

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3 0
3 years ago
An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
What is the GCF of 24,48m
Phoenix [80]
24
It goes into 24 once and into 48 twice
3 0
3 years ago
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The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
Leya [2.2K]

Answer:

pi times 4

Step-by-step explanation:

Circumference: pi times diameter (pi)(d) or pi times 2 times the radius (pi)(2r)

5 0
2 years ago
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