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3 years ago

Write an equation of the line that is parallel to 5x+20y=10 and passes through the point (8,3).

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

20y = -5x + 10

y = -1/4x + 1/2

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 5

Step-by-step explanation:

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Can someone plz help me, I need answers asap

sleet_krkn [62]

Answer:

Here for points

Step-by-step explanation:

3 0

2 years ago

The annount of time (in minutes) that it takes to put out a fire varies inversely

sveticcg [70]

Given that the amount of time varies inversely with G.

It can be written as,

$T G=K$

where K is the constant.

We need to determine the time it takes to put out the fire when 200 gallons of water are used.

<u>The value of constant:</u>

When $G=8, T=12$ , we get;

$(12)(8)=K$

$96=K$

Thus, the value of constant is 96.

<u>Time taken:</u>

Substituting $G=2$ and $K=96$ in the formula $T G=K$ , we get;

$T(2)=96$

$T=48$

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.

Hence, Option B is the correct answer.

5 0

3 years ago

The scale on a map is 5.1 cm: 2 mi. Find the distance in miles between two cities that are

NemiM [27]

<u><em>Answer:</em></u>

They are 4.7miles apart

<u><em>Explanation:</em></u>

Cross-multiply & Divide,

$\frac{5.1cm}{2mi} *\frac{12cm}{x}$

Solve for x,

2 × 12 = 24

24 ÷ 5.1 = 4.7

8 0

3 years ago

Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t

Umnica [9.8K]

Answer:

<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

$=x^{12}\times z^{11}(x^{-2}\times z^{-4})$ ( by using the identity $\frac{1}{a^m}=a^{-m}$ )

$=(x^{12}.x^{-2})\times (z^{11}.z^{-4})$

$=x^{12-2}\times z^{11-4}$ ( by using the identity $a^m.a^n=a^{m+n}$ )

$=x^{10}\times z^7$

$=x^{10}z^7$

∴ $\frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7$

<h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3><h3>Hence option A) $x^{10}z^7$ is correct answer.</h3>

4 0

3 years ago

PLS HELPPP MEEE!!

Dmitrij [34]

The answer is D. The roots are just where the line crosses the y axis.

8 0

2 years ago

Read 2 more answers