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2 years ago

Identify an equation in slope-intercept form for the line parallel to y = -3x + 7

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

Answer:

Step-by-step explanation:

B and D are the only ones with the same slope (-3x) which is required for the line to be parallel.

and if you graph it out, you will find that B is the correct answer because it passes through (2,-4).

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BRAINLIESTT ASAP! PLEASE HELP ME :)<br> thanks!

AVprozaik [17]

ΔACD and ΔASR are the same so we can write a ratio:

x/4 = 10/5

x/4 = 2

x/4 * 4 = 2 * 4

x = 8

Since AS is equal to x, they are both the same.

Therefore, the answer is [ x = 8, AS = 8 ]

Best of Luck!

6 0

2 years ago

Read 2 more answers

Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w

ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent listening to tapes of Beethoven and Brahms =

$=\dfrac{3}{4}$

Amount of time spent listening to Beethoven =

$=\dfrac{1}{5}$

Total time spent listening to Brahms =

Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven

$=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}$

Thus, Monica spent $\frac{11}{20}\text{ hours}$ listening to Brahms.

7 0

3 years ago

Read 2 more answers

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below? 6(4x + 5) + 11

Alina [70]

Answer:

24x + 41

Step-by-step explanation:

Distribute the 6.

6(4x + 5) + 11 = 24x + 30 + 11

Now we just add the 30 and the 11 which are at the back of the expression.

24x + 30 + 11 = 24x + 41

Therefore the answer is 24x + 41. Please mark brainliest if possible and i hope you get a good grade on your homework

3 0

2 years ago

Lacey measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. A building at the coll

Artyom0805 [142]

Answer: Rafi measured a summer camp and made a scale drawing. The scale he used was 1 millimeter = 3 meters. The sand volleyball court is 6 millimeters in the drawing.

Step-by-step explanation:

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2 years ago