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Andrei [34K]
3 years ago
7

The width of a rectangle is 7 inches shorter than its length. The area is 78 square inches. What are the dimensions of the recta

ngle?
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

Step-by-step explanation:W = L - 7

WL = 78

(L-7)L = 78

L^2 - 7L - 78 = 0

Factorize: (L-13)(L+6) = 0

L = 13 or -6

A length cannot be negative, so the length must be 13 miles.

The width is 13-7 = 6 miles.

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What is the conjecture sentence for the pattern 1, ,4, 9 ,16?
nexus9112 [7]

Answer:

Square numbers

Step-by-step explanation:

if 1 is squared, you get 1.

if 2 is squared, you get 4.

if 3 is squared, you get 9.

if 4 is squared, you get 16.

And thus square numbers.

8 0
3 years ago
74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec
Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

P(\hat{p}

So,

(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} }  } )

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0
3 years ago
Reflection across the y-axis B(1,3), H(4,4), D(4,-1)​
shtirl [24]
B wpuld be (-1,3), H would be (-4,4), and D would be (-4,-1). Hope this helps and please give Brainliest!
3 0
3 years ago
How to solve X + y = 2<br> X - y = 4
SpyIntel [72]
So y+x=2
x-y=4
one way is subsituteion where yousubisutte one of the number for another exg

x-y=4
add y to both sides
x=y+4
subsitute y+4 for x in x+y=2
 y+4+y=2
2y+4=2
subtract 4 from both sides
2y=-2
divide both sides by 2
y=-1
subsiutte
x+y=2
x-1=2
x=3




or elimination

x+y=2
x-y=4
add the two equations and cancel the y terms

x+x+y-y=2+4
2x=6
divide both sides by 2
x==3
subsitute
x+y=2
3+y=2
y=-1


so x=3
y=-1
5 0
3 years ago
10. Write in slope-intercept form:<br> -3x + 4y = 12
Anastasy [175]

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

 Slope = 1.500/2.000 = 0.750

 x-intercept = 12/-3 = 4/-1 = -4.00000

 y-intercept = 12/4 = 3

7 0
3 years ago
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