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3 years ago

Use the distributive property to write an equivalent expression. 3(10f+8g-2)

Mathematics

2 answers:

exis [7]3 years ago

6 0

30f+24g-6 because you distribute

statuscvo [17]3 years ago

5 0

Answer:

30fg+24g-6

Step-by-step explanation:

All you got to do is distibute

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan

Crank

Answer:

Step-by-step explanation:

We are given coordinates of the line passed through (–5, –1) and (10, –7) .

Applying slope formula,

$Slope=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:-7\right)$

Therefore,

$m=\frac{-7-\left(-1\right)}{10-\left(-5\right)}$

$m=-\frac{2}{5}$

Therefore, slope is $m=-\frac{2}{5}$ .

Applying point-slope form $y-y_1=m(x-x_1),$ we get

$y+7 = -\frac{2}{5}(x-10)$

$y+7=-\frac{2}{5}(x-10)$

On multiplying both sides by 5, we get

$5(y+7)=5\times-\frac{2}{5}(x+1)$

5y+35=-2(x-10)

5y+35=-2x+20

Adding 2x on both sides, we get

5y+25+2x=-2x+20+2x

2x+5y+35=20

Subtracting 35 from both sides, we get

2x+5y+35-35=20-35

2x+5y=-15.

Therefore, required equation is :

6 0

3 years ago

Find the prime factorization of 560 using exponents.

nekit [7.7K]

Answer:

2*2*2*2*5*7= 560

Step-by-step explanation:

please mark brainiest hope it works out for you

5 0

3 years ago

Read 2 more answers

A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer i

taurus [48]

Answer : The grain of sand is 50 times greater than the phytoplankton.

Step-by-step explanation :

As we are given that:

Size of phytoplankton = 2 × 10⁻⁶ in

Size of sand grain = 1 × 10⁻⁴ in

Now we have to determine how many times longer the grain of sand is than the phytoplankton.

We are dividing the sand grain size by the phytoplankton size.

This can be done by equating it as follows:

$\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=\frac{1\times 10^{-4}in}{2\times 10^{-6}in}$

$\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=50$

Therefore, the grain of sand is 50 times greater than the phytoplankton.

5 0

3 years ago

I need help on thiss

Lapatulllka [165]

1. = 5 animals

2. = 22 animals

3. = 32 animals

Hope this helped

6 0

3 years ago

How do you find the square root of 3 times 7?

grandymaker [24]

Answer:

$7\sqrt{3}$

Step-by-step explanation:

$\sqrt{3} \times 7$

$7\sqrt{3}$

$\approx 12.124356$

6 0

3 years ago