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2 years ago

write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6

Mathematics

1 answer:

iragen [17]2 years ago

6 0

Y=2x+b

substitute -2 for x and 5 for y
5=2(-2)+b4

Solve for b
b=9

The equation is
y=2x+9

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Literally pls help me like literally pls i need help pls

jarptica [38.1K]

Answer:

2\16

Step-by-step explanation:

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2 years ago

Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.

allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

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2 years ago

I need help with number 3 on solving quadratic equations by the quadratic formula

max2010maxim [7]

The answer is x=8 or x=-13

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3 years ago

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

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3 years ago

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