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Diano4ka-milaya [45]

3 years ago

12

The length of a rectangle is 3 inches longer than it is wide.if the perimeter is 46 inches what are the dimensions of the rectan

gle

1 answer:

Yuki888 [10]3 years ago

3 0

Answer:

Width = 10 inches

Length = 13 inches

Step-by-step explanation:

Firstly, we setup 'let' statements,

Let:

Width be x

Length x + 3

2(width) + 2(length) = Perimeter;

2x + 2(x + 3) = 46,

2x + 2x + 6 = 46

Then, we simplify for 2x + 2x:

4x + 6 = 46

The opposite operation for addition is subtraction to isolate x, therefore:

4x + 6 - 6 = 46 - 6,

4x = 40

The opposite operation for multiplication is division, to isolate x, therefore:

4x / 4 = 40 / 4

x = 10

Now we substitute for x in the let statements:

Width = 10 inches

Length = (10) + 3 = 13 inches

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Which function has real zeros at x = 3 and x = 7?

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Answer:

x = 3 x = 7 Okay well I got C. f(x) = x2 - 10x + 21 I got it because u subtract and add at the last part.

Step-by-step explanation:

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3 years ago

Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find

Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = $\frac{y-y1}{x-x1}$

first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

$\frac{6-(-2)}{-1-(-2)}$ = $\frac{8}{1}$ = 8

if we use our formule to calculate the slope of X-Y:

$\frac{8-0}{2-1}$ = $\frac{8}{1}$ = 8

We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

$\frac{6-8}{-1-2}$ = $\frac{-2}{-3}$

if we use our formule to calculate the slope of Z-Y:

$\frac{-2-0}{-2-1}$ = $\frac{-2}{-3}$

We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = $\sqrt{(-1-(-2))^{2}+(6-(-2))^{2} }$ = $\sqrt{65}$

X-Y = $\sqrt{(2-1)^{2}+(8-0)^{2} }$ = $\sqrt{65}$

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = $\sqrt{(-1-2)^{2}+(6-8)^{2} }$ = $\sqrt{13}$

Z-Y = $\sqrt{(-2-1)^{2}+(-2-0)^{2} }$ = $\sqrt{13}$

So the W-X side have the same lenght to Z-Y side.

6 0

3 years ago

Order from least to greatest

inessss [21]

The order from the least to the greatest is $-\frac{26}{5}$ , $-5 . \overline{17}$ , $\sqrt{33}$ , and $\frac{37}{6}$ .

Step-by-step explanation:

Step 1:

We must determine each of the individual values to be able to arrange the given numbers.

$\frac{37}{6} = 6.166666,$

$-5 . \overline{17}$ means that so 1 and 7 in the decimal keep repeating so,

$-5 . \overline{17} = -5.17171717.$

$\sqrt{33} = 33^{\frac{1}{2} } = 5.7445,$ and

$-\frac{26}{5} = -5.2.$

Now that we have all the four values, we can arrange them in ascending order.

Step 2:

There are two negative numbers, the greater a negative number the lesser it is i.e. $-6 < -5.$

So the least value is $-\frac{26}{5}$ which is followed by $-5 . \overline{17}$ .

The other two are positive numbers. As $5.7445 > 6.1666$ so the highest number is $\frac{37}{6}$ .

So the order from the least to the greatest is $-\frac{26}{5}$ , $-5 . \overline{17}$ , $\sqrt{33}$ , and $\frac{37}{6}$ .

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