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never [62]
3 years ago
6

Write the equation of a line that includes the point (22, 12) and

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

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VARVARA [1.3K]

Answer:

When you round 490.625 to the nearest tenth its 490.6.

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3 years ago
How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5
Neporo4naja [7]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<u>if </u><u>we </u><u>ever </u><u>face </u><u>a </u><u>number </u><u>written </u><u>in </u><u>the </u><u>form </u><u>of </u>\underline{x^{n}}<u>where </u><u>x </u><u>denotes </u><u>the </u><u>base </u><u>and </u><u>n </u><u>denotes </u><u>the </u><u>exponent</u><u> </u><u>or </u><u>power </u><u>,</u><u> </u><u>we </u><u>can </u><u>expand </u><u>it </u><u>in </u><u>the </u><u>following</u><u> </u><u>way </u><u>-</u>

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hope helpful -,-

4 0
2 years ago
Read 2 more answers
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
4 years ago
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AURORKA [14]

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Answer:

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A triangle solver can quickly show you the third side is 14 cm.

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  c² = a² +b² -2ab·cos(C)

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