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Bond [772]
3 years ago
14

I need to write an equation for a line slope-intercept form for the following.

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0
Y= mx+b

7= 2(5)+b

7= 10+b

-3= b

The answer is:

y= 2x-3
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How to write 8% as ratio in simplest form
dusya [7]

Answer:8:100

Step-by-step explanation:

Because the 8% is out of 100

3 0
3 years ago
Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power
kherson [118]

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power ⇒ answer A

Step-by-step explanation:

Let us explain how to change the radical expression as an expression

with a rational exponent

1. Find the number of the root and make it the denominator of the

  fraction exponent

2. Find the power of the term under the radical and make it the

   numerator of the fraction exponent

Examples:

\sqrt{x^{n}}=x^{\frac{n}{2}}

\sqrt[3]{x^{n}}=x^{\frac{n}{3}}

\sqrt[5]{x^{n}}=x^{\frac{n}{5}}

So \sqrt[m]{x^{n}}=x^{\frac{n}{m}}

∵ the radical expression is the seventh root of x to the third power

∵ seventh root = \sqrt[7]{}

∵ x to the third power = x³

∴ seventh root of x to the third power = \sqrt[7]{x^{3}}

Let us change it to the rational exponent

∵ \sqrt[m]{x^{n}}=x^{\frac{n}{m}}

∵ \sqrt[7]{x^{3}}

∴ m = 7 and n = 3

∴ \sqrt[7]{x^{3}} = x^{\frac{3}{7}}

∵ x^{\frac{3}{7}} is x to the three sevenths power

∴ \sqrt[7]{x^{3}} is x to the three sevenths power

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power

Learn more:

You can learn more about radical equation is brainly.com/question/7153188

#LearnwithBrainly

4 0
4 years ago
Read 2 more answers
The price of a car was increased from $3,600 to $4,500. What was the percent of the increase?
Nataly [62]

Answer:

25%

Step-by-step explanation:

.25(3,600)=900

3,600+900=4,500

6 0
3 years ago
Read 2 more answers
Light travels at the speed of approximately 3.0 × 108 meters per second. Find the time in minutes required for light to travel f
expeople1 [14]
Speed = distance / time => time = distance / speed
speed = 3x10^8 x 60 = 180x10^8 m per minute
time = 1.5x10^11/180x10^8 = 150x10^9/180x10^8 = 5/6x10 = 8,3 minutes
6 0
3 years ago
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