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3 years ago

Write an equation in slope form of the line through point j (-6,6) with the slope -2

1 answer:

7 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ -6}} &,&{{ 6}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies -2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-6=-2[x-(-6)]
\\\\\\
y-6=-2(x+6)\implies y-6=-2x-12\implies y=-2x-6$

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In the diagram, line r is parallel to BC.

WITCHER [35]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Between what two consecutive integers is <img src="https://tex.z-dn.net/?f=%5Csqrt182" id="TexFormula1" title="\sqrt182" alt="\s

Elden [556K]

Answer:

C. 13 and 14

Step-by-step explanation:

They notice that the square root of 182 is between 13 an 14, and it gives them the idea that the numbers 13 and 14 are the solution.

Let n be the smaller of the two consecutive integers.

Then the other integer is (n+1).

We are given that

n*(n+1) = 182.

Simplify

n^2 + n - 182 = 0,

Factor left side

(n-13)*(n+14) = 0.

The solutions are n= 13 and n= -14.

You may check that both of them satisfy the problem' condition, giving you two answers

the pair (13,14) and the pair (-14,-13).

Many people prefer to solve this problem in a short way.

They notice that the square root of 182 is between 13 an 14,

and it gives them the idea that the numbers 13 and 14 are the solution.

Then these people get the next idea that if the product of 13 and 14 is equal to 182,

then the product of the opposite numbers is also 182, so

both the pairs (13,14) and (-14,-13) are solutions.

Solved and explained in detailed and short modes.

7 0

3 years ago

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar

Alex_Xolod [135]

Answer

Find out the original side length of the square .

To prove

Let us assume that the original length of the square be x.

Formula

$Area\ of\ rectangle = Length\times Breadth$

As given

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.

Length becomes = x + 8

Breadth becomes = x -3

The area of the resulting rectangle is 126 in²

Put in the formula

(x + 8) × (x - 3) = 126

x² -3x + 8x -24 = 126

x ²+ 5x = 126 +24

x² + 5x - 150 = 0

x² + 15x - 10x - 150 = 0

x (x + 15) -10 (x +15) =0

(x + 15)(x -10) =0

Thus

x = -15 , 10

As x = -15 (Neglected this value because the side of the square cannot be negative.)

Therefore x = 10 inches be the original side of the square.

3 0

3 years ago

EXPLANATION?????

crimeas [40]

Answer:

Hello! answer: x = 19

Step-by-step explanation:

This is a supplementary angle! So it will add up to 180 degrees 180 - 123 = 57 so we know something multiplied by 3 will equal 57 and 19 × 3 = 57 so x = 19 Hope this is a good explanation!

4 0

3 years ago

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Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x 2+ 9 h(x) = 3x - 14

Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88 3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86 add since you are subtracting a negative number

4 0

3 years ago