Someone help please. Its algebra 1.

Select the equation of a line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3.

A. y= -2x +2
B. y= -2x -2
C. y= 1/2x -2
D. y= 1/2x +2​

Answers

Answer 1

Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

Answer 2

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

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Related Questions

Due in 3 minutes please help

Answers

Answer:

1847 - 24% decrease

1848 - 68.42% increase

Hope this helps.

Can someone please help me.

Answers

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

Non linear because the change in the y axis is not constant

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]

Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?

Answers

Answer:

-9 points

Step-by-step explanation:

help show work
42,44,46,48,50
assig 9

Answers

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

 

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

                       

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?

Answers

Answer:

The total weight of the smaller packages is 84 lb

How do you find range and domain

Answers

Answer:

another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.

which of the equation is graphed below

A.) y=1/4x+1
B.) y=-1/4x+1
C.) y=4x+1
D.) y=-4x+1​

Answers

A, because 1/4 is your slope of the line. which means you find a point where the line intersects and count 1 up and four over to the right and should end up where the line touches the graph again. if it were to be -1/4 it would be opposite and the line would be going the other way. and 1 would be your y-intercept. this is where the line crosses over the y axis at 1! hope you found this helpful!

HELP ME PLEASE 10 POINTS PLEASE PLEASE

Answers

Answer:

That picture is quite blurry. If you could add a new image in the comments, I could help you ASAP.

Step-by-step explanation:

Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Therefore, coordinates of the point X will be,

= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]

= (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of AX = BX = [tex]a\sqrt{2}[/tex]

Therefore, triangle AXB is an isosceles triangle.

You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).

Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.

Answers

Yes number 1 yes yes

PLZ HELP MEEEE, will give brainliest

Answers

Answer:

It is either B or D but i would say B

Step-by-step explanation:

Explain why three-dimensional graphs can be misleading. What would be a better type of graph to
use?

Answers

three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.

PLEASE HELP HELP PLEASEEEEEEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D

The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range​

Answers

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?


Answers

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

How to calculate the speed?

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

To learn more about the speed visit:

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PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?

Answers

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

What is 0.18 divided by 7.56 plzz help me and the others ones to

Answers

Answer:

0.023

Step-by-step explanation:

Answer Fast Please And Thank You

Answers

Answer:

a d

Step-by-step explanation:

maybe

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *

Answers

Answer:

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Step-by-step explanation:

Given

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]

Going by the Pythagoras theorem, we can assume the following.

a = Oppositeb = Adjacentr = Hypothenuse

So, we have:

[tex]Sin\theta = \frac{a}{r}[/tex]

[tex]Cos\theta = \frac{b}{r}[/tex]

Having said that:

The expression can be further simplified as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]

Substitute values for sin and cos

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Identify the domain of these ordered pairs from least to greatest:

Answers

Answer:

(0,5)

Step-by-step explanation:

you are supposed to take the lowest and highest numbers of the x values and then that would be your domain

The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?

plsss help mee​

Answers

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Which of the binomials below is a factor of this trinomial?
6x2- 5x-25
A. 2x-5
B. 6x-5
O C. 6x + 5
D. 2x + 5

Answers

Answer:

A. 2x-5

Step-by-step explanation:

(2x-5)(3x+5)

Hope this helps!

Answer:

A. 2x-5

Step-by-step explanation:

40/12 to a mixed fraction ?

Answers

Answer:

3 1/3

Step-by-step explanation:

40/12

12*3 = 36

40-36 = 4 so there is 4 left over which goes over the denominator

3  4/12

Simplify

3 1/3

The solution of 12x+12=8x is?

Answers

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

Which graph represents the solution set for the compound inequality below?

Answers

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Geometry
Please help

Answers

answer: MQ= 8 and PQ= 16

explanation:

4+4= PM (8)

MQ = PM, so MQ= 8

PM + MQ = PQ

8 + 8 = 16, so PQ = 16
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