1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tema [17]
3 years ago
6

HELP ASAP

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

\:y=\frac{1}{2}x+\frac{13}{2}

Step-by-step explanation:

Given the line

y+2x=4

converting into the slope-intercept form y = mx+b where m is the slope

y = -2x+4

comparing with the slope-intercept form

Thus, the slope is: m = -2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2

The slope of the new line perpendicular to the given line = – 1/m

                                                                                                = -1/-2 = 1/2

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (-3, 5)

y-y_1=m\left(x-x_1\right)

y-5=\frac{1}{2}\left(x-\left(-3\right)\right)

y-5=\frac{1}{2}\left(x+3\right)

Add 5 to both sides

y-5+5=\frac{1}{2}\left(x+3\right)+5

\:y=\frac{1}{2}x+\frac{13}{2}

Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

\:y=\frac{1}{2}x+\frac{13}{2}

You might be interested in
Which equation shows the volume of the rectangular prism as a product of its edge lengths?
Anettt [7]

Answer:

Top right option

Step-by-step explanation:

multiplying the digits, you get the volume, which is 3/4

Answered by GAUTHMATH

6 0
3 years ago
What measure of center best represents the data set? Data Set {27, 29, 26, 28, 25} A; mean only B; medium only. C; mode only D;
Alenkinab [10]
Both the median and mean=27 so median or mean would work.
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 1/3 ÷ 3/4
mr Goodwill [35]

2/6 divided by 6/8 is an answer

5 0
3 years ago
Read 2 more answers
Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
Molodets [167]

For convenience sake, I will let y=f(x)=9e^{x}\sin x

First, we evaluate the function at the endpoints of the interval.

f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)

Setting this equal to 0,

9e^x (\cos x+\sin x)=0

Since 9e^x > 0, we can divide both sides by 9e^x.

\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}

f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}

So, the absolute minimum is \boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)} and the absolute minima are \boxed{(0,0), (\pi, 0)}

3 0
2 years ago
Find the X,Y intercepts
mamaluj [8]

Answer:

(-3.5, 0)

Step-by-step explanation:

The x intercept is where the line touchs the x axis.

The y is 0.

So you end up with the coordinates of (-3.5, 0)

8 0
3 years ago
Other questions:
  • Find the image abc for a dilation with center (0,0) and given scale factor.
    11·1 answer
  • Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
    9·2 answers
  • Work out 5^-2 x 3 square root 8
    11·1 answer
  • Mrs. Bowman designed the rug shown . If it costs 22$ per square footage to make, how much will Mrs. Bowman pay for the rug?
    15·2 answers
  • A angles of an equilateral triangle are congruent. If x represents the measure of the third angle of the triangle, what is x?
    5·1 answer
  • Reggie is playing a game. If he gets a total of 45 points, he will have a new high score. He currently has -15 points. What is t
    5·1 answer
  • Solveeee please :(<br> 6/25 × 3/4 ÷ 16/5
    11·1 answer
  • What type of slope is shown in the graph?
    9·1 answer
  • B. Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does
    8·2 answers
  • Simplify<br><br> x^4 * x <br><br> What would be the simplified answer
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!