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3 years ago

What kind of lines are shown in the figure below

Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

d.interserting i believe

Step-by-step explanation:

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

Hence, the length 15 yards

4 0

3 years ago

Pablo borrowed $900 from a credit union for 3years and was charged simple interest at a rate of 3%. What is the amount of intere

tensa zangetsu [6.8K]

Answer:81

Step-by-step explanation:

6 0

2 years ago

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Which is a solution to the equation? (х-2)(х + 5) = 18?

jok3333 [9.3K]

$\bf (x-2)(x+5)=18\implies \stackrel{\mathbb{F~O~I~L}}{x^2+3x-10}=18\implies x^2+3x-28=0 \\\\\\ (x-4)(x+7)=0\implies x= \begin{cases} 4\\ -7 \end{cases}$

4 0

2 years ago

I’m plz help fast thanks 16

nataly862011 [7]

Answer:

1/2 <3/4

Step-by-step explanation:

1/2 vs 3/4

We need a common denominator of 4

1/2*2/2 vs 3/4

2/4 vs 3/4

Since the denominators are the same, we compare the numerators

2 <3 so

2/4 < 3/4

1/2 <3/4

5 0

3 years ago

I’m kind of lazy to answer this question can somebody answer this for me

kirill [66]

Answer:

everyone got 6 pieces

Step-by-step explanation:

do you actually need a explanation?

4 0

2 years ago

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