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3 years ago

Find the slope of a line perpendicular to 3x + 5y = 15.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is

y=mx+b

where m is the slope and b is the y-intercept.

y=mx+b

Subtract 3x from both sides of the equation.

5y=15−3x

Divide each term by "5" and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide 15 by 5

y=3-3x/5

Reorder 3 and −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to y=−3x/5+3 must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?

Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

$g(x)=4x^2-16$

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it $h(x)$ ) will be:

$h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17$

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

$(0,-16)$

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

$New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)$

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0

3 years ago

The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley

asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon $\times$ Time

$\Rightarrow 10 \times 12$ = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0

3 years ago

PLEASE HELP WITH WHERE TO DOT!!!

Galina-37 [17]

Answer:

points go at -3 on the line and at 9 one above the line

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Can someone help me with question 3

djyliett [7]

2. Alana needs to sell 52 boxes of cookies:

She sold 7 boxes to her aunt

She sold 2 boxes to her mother

She sold 15 boxes to her neighbor

you add 7+2+15 = 24 boxes of cookies that she sold

We need to find out how many more boxes of cookies she needs to sell-

We take the 24 boxes she sold and subtract from 52 boxes that she needs to sell.

24 - 52 = 30

The answer is 30, she needs to sell 30 more boxes.

------------------------------------------------------------------------------------------------------------

3. Sam, Jimmy and Andre shared a number of pennies in the ratio 8:5:3

Sam (8), Jimmy (5) and Andre (3)

How many more pennies did Jimmy receive than Andre?

you subtract 3 - 5 = 2

The answer is 2 more pennies.

-------------------------------------------------------------------------------------------------------------

4. Jamila spent $33.00 and Akiko spent $ 42.00

Jamila had 4 times as much money left as Akiko. How much money did each of them have in the beginning?

Since Akiko spent the highest amount- you will have to go with the higher amount to find the answer

4 x $42.00 = $168.00

They both in the beginning had $168.00

I hope this helps.

3 0

4 years ago

I need help please.

Rudiy27

Answer:

0.167, 0.164, 0.16

Step-by-step explanation:

In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.

8 0

3 years ago