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3 years ago

Multiply 8x(3/4y+4) using distributive property

Mathematics

1 answer:

katrin [286]3 years ago

4 0

6xy+32

You multiply 8x by each number and get

24/4xy+32 You can simplify the 24/4 to get six. so your answer is

6xy+32

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

a dance club spent $922 on 40 items.The item include some hats and pairs of shoes.Each hat cost $19 and each pair of shoes cost

Sergio039 [100]

1. H+S=40

2. 19H+25S=922

From 1,

19H+19S=760

Subtract this from 2 to eliminate H,

19H+25S-19H-19S=922-760

6S=162

Solve for S, then use either equation to solve for H.

4 0

3 years ago

Combine these unlike fractions, then simplify. 3/8+1/6 explain plz

larisa86 [58]

Answer: 13/24

Step-by-step explanation:

3/8 + 1/6 = 9/24 + 4/24

9 + 4/24 = 13/24

Decimal Form = 0.541667

Hope this helps! #BaconSquad

4 0

3 years ago

I = Prt

Olegator [25]

Answer:

$r=3.5\%$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=5\ years\\ P=\$1,200\\ I=\$210\\r=?$

substitute in the formula above

$210=1,200(5r)$

solve for r

$r=210/6,000$

$r=0.035$

convert to percentage (multiply by 100)

$r=3.5\%$

6 0

3 years ago

Juice: 48 fluid ounces for $2.07; 32 fluid ounces for $1.64

Alla [95]

Answer:

Step-by-step explanation:

Start by changing the dollars into cents.

2.07 dollars = 2.07 * 100 = 207 cents

1.64 dollars = 1.64 * 100 = 164 cents.

How much does 1 ounce cost for each?

207 cents / 48 = 4.3125 cents / oz

164 / 32 = 5.125

The better buy is the 48 fluid oz jar.

5 0

3 years ago