What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
Simplify the expression.
3.7 - 5.5n - 4n + 6
Answer:9.7-9.5n
Step-by-step explanation:
Identify the variable in the following situation. Mr. Gopal goes to the store and has 25 dollars. He has to buy some candy bars for 10 dollars total. How water bottles can he buy with his remaining money if each water bottle costs 5 dollars
Answer:
3 water bottles
Step-by-step explanation:
25-10=15
15/5=3
Miguel did the following math problem: 6^5 ∙ 6^4 = 36^9.
Which of the following is a true statement?
He is correct.
He is incorrect because he should have subtracted the exponents.
He is incorrect because he should have multiplied the exponents.
He is incorrect because he multiplied the bases.
Answer:
He is incorrect because he multiplied the bases.
Step-by-step explanation:
[tex] \huge 6^5 ∙ 6^4 = {6}^{5 + 4} = {6}^{9} [/tex]
He is incorrect because he multiplied the bases.
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
HELP PLEASE!!! I NEED HELP ASAP!!!
Answer:
d
Step-by-step explanation:
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.
Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
Please help will give brainliest to answer
Answer:
your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot
Plsss help I’ll give u brainlest and 10 points
Using the information given, write an equation in slope-intercept form.
9
7) m=
2
and b=3.
Answer:
y = 2x + 3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 3
Step 2: Write function
y = 2x + 3
Slope intercept form : y=mx+b
answer: y=2x+3
You’re basically supposed to substitute
In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.
Answer:
24 amps
Step-by-step explanation:
Current = k /resistance
k = current × resistance
= 40 × 12
= 480
If the resistance is 20 ohms then the current can be calculated as follows
Current = 480/20
= 24 amps
Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.
Answer:
A.The corresponding angles of a shape and its dilation are congruent.
Step-by-step explanation:
Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.
Thus, the respective angles of the given shape and its image are the same.
The appropriate answer to the given question is A.
You ride the subway 45 times per month. Find your monthly cost without purchasing a monthly pass. Then determine whether you should buy the monthly pass.
Answer:
WE DONT KNOW
Step-by-step explanation:
How much does a ticket cost? How much does the pass cost???
tell us and we help
Answer: cost without monthly pass- $56.25
And you should buy the monthly pass
Step-by-step explanation:
IN question a it say $1.25 for every student so u just 45 times 1.25 and end up with 56.25...
select the equation represented by the graph
Answer:
your answer will bw the option A.
Step-by-step explanation:
What's the nicest thing someone has said or done for you? Feel free to comment or leave an answer :)
Answer: I actually got a good one
My best friend told me that I was the best person ever and that she hoped nothing would ever separate us. She always is there when I need her, and she supported me when I came out! She is the greatest Friend I could ever ask for!
"I was walking home one day last winter, it was super cold out and some lady I've never seen before stopped to pick me up. She was really nice and drove way out of her way to drop me off at my house. She gave me a winter hat and a piece of chicken (she was on her way home from KFC) I said 'thank you' and she told me to pay it forward." I never got her name though :(
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Answer:
103
Step-by-step explanation:
89+97+112+104+113=515
515÷5=103
103 is the final answer, hoped this helped.
State the property being illustrated in each example.
5.) 6(5x) = (6.5)x
6.) 14 + x + 8 = 14 + 8 + x
7.) 9(y + 4) = 9y + 36
8.) (a + 100) + 50 = a + (100 + 50)
9.) 1/4 (8x - 20) = 2x-5
10.) 25 - 7 = 25 .7 . y
Answer:
5.) Associative Law
6.) Commutative Law
7.) Distributive Law
8.) Associative Law
9.) Distributive Law
10.)
Step-by-step explanation:
The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.
The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.
The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.
Find the slope and the y-intercept of the line.
- 9x+3y=-6
Answer:
slope is 3 and y intercept of -2
Step-by-step explanation:
An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
pls help answer quick and do NOT WASTE MY POINTS
Answer:
points waisted
Step-by-step explanation:
Answer:
Yeah its parallel
Step-by-step explanation:
I would waste your points, but nah. Anyways, its parallel
Does the graph represent a function? Why or why not?
A. No, because it fails the horizontal line test.
B. Yes, because it passes the horizontal line test.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
D . No because it fails the vertical line test .
Step-by-step explanation:
The length of the rope was cut from 30 inches to 24 inches. By what percent was the price of the rope reduced?
The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!
Answer:
Option (B)
Step-by-step explanation:
Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,
P ∝ C
P = kC
k = [tex]\frac{P}{C}[/tex]
Here k = proportionality constant
Since, the given line passes through a point (3, 2),
k = [tex]\frac{2}{3}[/tex]
Therefore, ratio of chocolate and peanuts mixed is [tex]\frac{2}{3}[/tex].
Option (B) is the correct option.
(4 - n) +2( -5n + 3)
Answer:
-2-11n or 10-11n
Step-by-step explanation:
4-n+-10n-6= -2-11n
Hope this helps If this is wrong then this should be the other one only if the top is wrong!!
4-n+-10n+6=10-11n
Write the equation and slope intercept form.
4x - 3y = 9
Answer:
y=4/3x-3
Step-by-step explanation:
if 0 Help needed asap!!
Answer:
then the test fails.
Step-by-step explanation:
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
blank ÷ 3/7= 7/15.
Answer:
1 4/45
Step-by-step explanation:
