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n200080 [17]
2 years ago
12

Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.

Mathematics
1 answer:
Vlad1618 [11]2 years ago
6 0

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

⇒ 12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

⇒ 10 units = WY

Thus, the measure of the diagonals are 10 units each.

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9. Consider the function f(x) = x² + 3x – 4.
BaLLatris [955]

Answer:

  c.  f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

  (x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

  • have a product of -4
  • have a sum of +3

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All of the choices except B have binomial constants that have a product of -4.

In order, the sums of the remaining choices are ...

  A: 1-4 = -3

  C: 4-1 = 3 . . . . this is the correct choice

  D: -2+2 = 0

6 0
3 years ago
Type your answers into the boxes.
egoroff_w [7]

Answer:

Step-by-step explanation:

√121 = 11

√900 = √30^2 = 30

∛125 = ∛5^3 = 5

∛729 = ∛9^3 = 9

6 0
3 years ago
Need help with Geometry homework.
solmaris [256]

Answer:

SU = 22

Step-by-step explanation:

SR = RU

4x - 1 = x + 8

3x - 1 = 8

3x = 9

x = 3

SR =  4(3) - 1 = 11

RU =  3 + 8 = 11

SU = 11 + 11 = 22

7 0
3 years ago
Help me please.<br><br> ------------------------------------------------
ladessa [460]

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

5 0
3 years ago
Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?
alexgriva [62]

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

5 0
3 years ago
Read 2 more answers
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