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svlad2 [7]
4 years ago
11

Which binomial must be subtracted from (10r-7) so that the difference of the 2 polynomials is (93r+12)?

Mathematics
1 answer:
babunello [35]4 years ago
6 0

First binomial expression is A = (10r - 7).

Let's assume second binomial expression is B.

and third binomial expression is C = (93r + 12).

According to given question, A - B = C.

To find B, we can subtract C from A such that;

B = A - C

B = (10r - 7) - (93r + 12)

Distributing negative sign and removing parentheses;

B = 10r - 7 - 93r - 12

Combining like terms;

B = (10r - 93r) + (-7 -12)

B = (-83r) + (-19)

B = -83r -19

Hence, second binomial expression would be B = (-83r -19).

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<u>Explanation:</u>

1. a) Null hypothesis: There is <em>no</em> statistically significant relationship between the mouse grimace scale and the amount of pain felt by mouse.

b) Alternate hypothesis: There is a statistically-significant relationship between the mouse grimace scale and the amount of pain felt by mouse.

2. Yes, because a statistically significant data implies that there is sufficient evidence to believe the study, based on the results of the findings.

3. No, since the variables are different in this case. Here we are dealing with a non-painful solution so there may be no sample correlation as extreme as that found in the original study.

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3 0
3 years ago
A rectangle is 14 ft longer than its width. The perimeter is 88ft. Please help
nirvana33 [79]

Answer:

L=29ft

W=15ft

Step-by-step explanation:

Step one:

given

let the width be x

W=x

L= x+14

P= 88ft

perimeter= 2L+2W

so, substituting our data we have

88=2(x+14)+2x

88=2x+28+2x

collect like terms

88=4x+28

88-28=4x

60=4x

divide both sides by 4

x=60/4

x=15

Step two:

the dimensions are

the width is 15ft

the length= 15+14

L=29ft

8 0
3 years ago
36.  
Burka [1]
Area 1st rectangle = 10 * 7 = 70 cm^2
length of 2nd rectangle is 2*7 = 14 cm

Area 2nd = 10 * 14 = 140 cm^2

140/70 = 2

The 2nd triangle was twice as big as the 1st.  Answer A
5 0
4 years ago
Complete the square to solve the equation below. *<br> x2 – 8x + 10 = 0
Nezavi [6.7K]
Complete the square to solve the equation below. *
x2 – 8x + 10 = 0
3 0
3 years ago
Radius of the circle is 20cm. there are two chords of lengths.
Vaselesa [24]

9514 1404 393

Answer:

  12 cm

Step-by-step explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

  c² + d² = r²

  16² + d² = 20²

  d² = 400 -256 = 144

  d = √144 = 12 . . . . . cm

4 0
3 years ago
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