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
krok68 [10]
3 years ago
11

Find an equation of the line with y-intercept 2 perpendicular to the line x-5=0

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

–x/2 + y = 6

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

You might be interested in
3.2.4 practice modeling slope-intercept Equation of a line
UNO [17]

Answer:

this is from apex

Step-by-step explanation:

1. Which option did you choose? Discuss with another student why you made the choice you made. (1 point)

Troposphere (above the surface)  because it looks simpler.

what do you know? the upper crust of the Earth is the layer extending 10 to 40 km beneath the surface. The surface temperature averages 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth

what do you want to find out? The range of temperatures I would expect to encounter while traveling within the boundaries of the upper crust.

what answers do you expect to find? a range of temperatures (duh).

Writing an Equation

2. Define the variables you will use in your equation. (1 point)

Let one variable be the distance away from the surface and the other variable be the temperature.

D for distance and T for temperature.

The y-intercept is the starting position at Earth's surface. The coordinates of the y-intercept are (0, the temperature at Earth's surface).

3. What is the b-value of the y-intercept for your equation? (1 point)

15, I finally figured it out after 2 days lol.

The slope is the rate of change for temperature.

If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive.

If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative.

4. What is the slope of your equation? (1 point)

the slope of my equation is... positive!

5. Write an equation that models the relationship between your variables. (1 point)

umm, let's see... y= 25x+15 with x being each kilometer down from the surface temp. (15).

or if you just need the "equation" equation, then its y=mx+b

Interpreting the Equation

6. Identify and explain what each term represents in the temperature model.

a) The slope (1 point)

25

b) The y-intercept (1 point)

15

Graph the line

7. Identify three points on your line. (1 point)

(10,265) (11,290) (12,315)

8. Using the coordinates from question 7, calculate the slope of your line. Does it match the slope from your model? (2 points)

the slope of my line is 25, just like in my model. (wow magical)

Graph the Equation

9. On the graph below, plot the points and sketch your line. (4 points: 1 for each graphed point, 1 for the line)

see attachment.

Find the Temperature Range

10. Complete the sentence for your layer. (1 point)

The upper crust is the region that starts at Earth's surface and ends between 10 km and 40 km below the Earth's surface.

Use the temperature equation to find the temperature range for your layer.

range: between 265 degrees Celsius and 1015 degrees Celsius. (10km - 40 km)

11. What is the temperature at the end of your layer that is farthest from the surface? (1 point)

1015 degrees celsius.

3 0
4 years ago
What is 28% of 63%? Round your answer to the nearest tenth
Zina [86]

Answer: 17%

Step-by-step explanation:

1. First divide the percentages by 100 to turn the percentages into a decimal (28/100) x (63/100) = 0.1764

2. Then turn that decimal into a percentage again.

0.1764 x 100 = 17.64 but if you’re rounding to the nearest tenth without any decimals it’ll just be 17%

3 0
3 years ago
Help please show work <br><br> A 18 <br> B 2<br> C 9 <br> D 1
Crank

Answer:

value of x = 2

Step-by-step explanation:

the given quadrilateral will be a parallelogram if their diagonals bisects each other so,

if 5x - 1 = 2x + 5 , then the given quadrilateral is a parallelogram.

now,

=》 5x - 1 = 2x + 5

=》 5x - 2x = 5 + 1

=》3x = 6

=》x = 6 ÷ 3

=》x = 2

hence, if x = 2 units, then the given figure will be a parallelogram.

3 0
3 years ago
What's the value below??
lisabon 2012 [21]
The correct answer is 8.
3 0
4 years ago
A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub
lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0
3 years ago
Other questions:
  • Two sides of an isosceles triangle
    10·2 answers
  • What are the three angle measures in the triangle shown below?
    9·2 answers
  • The x- and y- coordinate have opposite signs
    8·1 answer
  • Please answer this correctly
    7·1 answer
  • I WILL MARK BRAINLIEST
    8·2 answers
  • Determine the type of correlation represented in the scatter plot below.
    12·2 answers
  • Can anyone help please?
    13·2 answers
  • Which shows the ratio 12:18 in simplest form?
    5·1 answer
  • Find three consecutive even numbers such that the difference
    15·1 answer
  • Choose the answer.<br> Use the net to determine the total surface area.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!