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3 years ago

M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

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VikaD [51]3 years ago

6 0

The line segment is 10 units long

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Which equation represents the line that passes through points (1 -5) and (3 -17)

Fynjy0 [20]

Answer:

6x-11

Step-by-step explanation:

m=y2-y1

x2-x1

-17--5 = -12

3-1. -2

The two negatives cancel ❌

m=12

Divide by 2

m=6

y=mx+b

-5= 6 (1) + b

-5= 6 + b

Subtract (6) from both sides

b= -11

The equation for the line is 6x -11

7 0

2 years ago

What is the solution to the rational equation x over 2x plus 1 minus 1 over 4 equals 2 over 2x plus 1

natali 33 [55]

X 1 2 ----- + ---- = ------- so the common denominator will be 4(2x-1) 2x-1 4 2x -1 4x +2x-1 8 ----------- = --------- 4(2x-1) 4(2x-1) 6x-1 8 ---------- = -------- make the restriction for x so 2x-1 =0 ,result x=1/2 4(2x-1) 4(2x-1) so what mean that x not can being equal 1/2 6x-1=8 6x = 9 x= 9/6 x = 3/2

3 0

3 years ago

F(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?

Ray Of Light [21]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now... your expression is not in vertex form, that's ok... to do a horizontal shift to the left by 4 units, we can simply, add the C and B component to the "x" variable, C=4, B =1, that way the horizontal shift of C/B or 4/1 is just +4, giving us a horizontal shift to the left

$\bf f(x)=x^2-3x-2\impliedby \textit{let's change that for }f(1x+4)
\\\\\\
f(1x+4)=(1x+4)^2-3(1x+4)-2
\\\\\\
f(x+4)=x^2+8x+16-3x-12-2
\\\\\\
f(x+4)=x^2-5x+2\impliedby g(x)$

8 0

3 years ago

Read 2 more answers

The value of the expression 23 +32–3x4–52-5+(7x4) is

Mashcka [7]

Answer:

Explanation:

(23+32)-(3×4)-(52-5)+(7×4)

(55)-(12)-(47)+(28)

55-12=43
-47+28= -19
43-19=24

4 0

3 years ago

Write an equation in slope intercept form (y=mx+b) for the graph below .

jolli1 [7]

Answer:

Step-by-step explanation:

b would be 0

your slope is rise/run. up one and over three. up one and over three. so 1/3

write it as y=1/3x+0, or y=1/3x

6 0

3 years ago