5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]-x + 2y = 4[/tex]
a) writing the equation in the slope-intercept form
We know that the slope-intercept form of the equation of the line is
[tex]y=mx+b[/tex]
where m is the slope of the line
so writing the equation in the slope-intercept form
[tex]-x + 2y = 4[/tex]
[tex]2y=4+x[/tex]
[tex]y=\frac{1}{2}x+2[/tex]
b) Identify the slope of the line represented in part a
As the equation in slope-intercept form is
[tex]y=\frac{1}{2}x+2[/tex]
Here,
m = slope = 1/2 ∵ [tex]y=mx+b[/tex]
c) What is the slope of the line perpendicular to the line in steps a and b
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
As the slope = 1/2
So the slope of the perpendicular line will be: -2
d. Write the equation of the perpendicular line in slope-intercept form.
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -2 and the point (-2,1)
[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]
[tex]y-1=-2\left(x+2\right)[/tex]
Add 1 to both sides
[tex]y-1+1=-2\left(x+2\right)+1[/tex]
[tex]y=-2x-3[/tex]
Please help!!!!!!!!!
Answer:
1/8 or 0.125
Step-by-step explanation:
hope this helped
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
Pls I Need Help Fastttt
Answer:
2
Step-by-step explanation:
х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4
355 divided 14 hiksdjkndndf
Answer:
Rounded to the nearest whole number is 25
please someone help asap i will give brainliest
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right
А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°
Answer:
34 degrees
Step-by-step explanation:
If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)
Step 1.CBD + ABC = ABD
Step 2. Substitute
30 + ABC = 64
Step 3. Isolate ABC
34 = ABC
ABC is 34 degrees
9514 1404 393
Answer:
34°
Step-by-step explanation:
It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)
∠ABC + ∠CBD = ∠ABD
∠ABC + 30° = 64°
∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation
Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?
Answer:
I think the answer is 734.
Step-by-step explanation:
You do $178 x 4 months = 716
716 x 4 years is 734
Please please help me answer number 14
Answer:
A and E is base angle.
B and D is leg.
F is base.
C is vertex angle.
Thank you and please rate me as brainliest as it will help me to level up
Answer:
answer below
Step-by-step explanation:
a base angle
b leg
c vertex angle
d leg
e base angle
f base
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?
Answer:
Step-by-step explanation:
There are not statements. But...
If she studies more her grade is better.
The more she studies, the more her grade goes up.
The less she studies, the more her score goes down.
Just some guesses for you. Match up with your statements.
Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.
Let the amount of time she spends studying for her history tests is denoted by the variable {T}.
Let her grade is denoted by the variable {G}. So, we can write -
{G} [tex]$\alpha[/tex] {1/T}.
Therefore, Hannah is observing he following relation -
{G} [tex]$\alpha[/tex] {1/T}.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?
Step-by-step explanation:
(x,y)=(-x,-y)
(0,-1)=(-0,1)
Help with 10 c). Plssss
Answer: It’s B or E I would go with id say E
Step-by-step explanation:
Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5
Answer:
D -5
Step-by-step explanation:
9+28−28=4+3−28
9=4−25
9−4=4−25−4
5a=−25
5
=
−
2
5
5a=-25
5a=−25
5a/5
=−25/5
a=-5
There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?
Answer:
there are 32 tablespoons in 1 pint .
Step-by-step explanation:
beacause i asked siri .
Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans
Answer:
6 girls
Step-by-step explanation:
60/100 x 50 = 30
30 girls in class
20/100 x 30 = 6
6 girls are wearing jeans
Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long
Answer:
Option (D)
Step-by-step explanation:
Sue made a quilt pattern comprising 16 congruent isosceles right triangles.
She cuts the pieces of triangle having each leg = 6 inches
By applying Pythagoras theorem in isosceles triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
x² = 6² + 6²
x² = 72
x = √72
x = 8.485
x ≈ 8.5
Option (D) will be the correct option
Answer:
The answer is D. (8.5)
Step-by-step explanation:
I need hep with the range
Answer:
[-7, 6]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
In a survey of 2,700 people who owned a certain type of car, 1,485 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car
Answer:
35%
Step-by-step explanation:
does anyone know how to do this
Solve by factoring. Check your answer.
[tex]x^2-4x=0[/tex]
Please show all your work and explain all steps. Thanks :)
Answer:
[tex]x=0,4[/tex]
Step-by-step explanation:
Factor out the common terms from the given terms:
[tex]x^2-4x=0[/tex]
You can factor out x from both:
[tex]x(x-4)=0[/tex]
Rewrite, setting each equal to 0:
[tex](x)(x-4)=0\\\\x=0\\\\x-4=0[/tex]
Simplify the second equation by solving for x:
[tex]x-4=0\\\\x-4+4=0+4\\\\x=4[/tex]
Therefore, x=0 or x=4
:Done
Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer
Answer: 50 words per minute
Step-by-step explanation:
250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5
50 words per 1 minute
Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?
How could the formula for perimeter be rearranged to find the length of the playground?
Answer:
The third option
Step-by-step explanation:
the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer
I need help please!!!!
Answer:
a. 10%
b. 80%
c. 20%
Step-by-step explanation:
Hope this helps!
i'll mark you as brainliest
Answer:
y=x-4
Step-by-step explanation:
We can see that x is always 4 times larger than y or y is always 4 times less than x
This means that y=x-4
Answer:
The Answer Is "y = x - 4"
Hope This Helped :)