Find the equation of the line that passes through (-1,2) and is perpendicular to 2y = 2x – 1.
Leave your answer in the form y = mx + c
Answers
Step-by-step explanation:
question is solved above in the picture
The equation of line that passes through point (-1,2) and which is perpendicular to 2y = 2x – 1 will be y = -x + 1.
Equation of lineThe General equation of a line is ax + by + c = 0
How to solve this problem? Since the line is perpendicular to 2y=2x-1, this means that its slope with be the opposite reciprocal of the line 2y=2x-1 ‘s slope.First, we should find the slope of the line 2y=2x-1:2y=2x-1
y=x-1/2
Therefore, the slope of 2y=2x-1 is 1 and the opposite reciprocal of 1 is -1 So far, we have this: y=-x+bTo find b (the y-intercept) we can plug the point (-1,2) into the equation we have so far and solve for b.y=-x+b
2=-(-1)+b
2=1+b
b=1
So, the equation of the line that passes through (-1,2) and which is perpendicular to 2y=2x-1 is y=-x+b
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Related Questions
what is the square root of 31
Answers
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
Ms. Hall found a mistake as she was grading Ethan’s paper. Each step should represent an equivalent expression. Which step shows the mistake that Ms. Hall found?
Expression: (1/2)exponet 2 x 8 – 3
Step 1:1/4 x 8 – 3
Step 2: 1/4 x 5
Step 3: 5/4
Step 4: 1/4
Answers
which expression represents purely real numbers and which expression represents non-real complex number?
Answers
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
Find the value of x in the triangle.
67 113
293
7
Answers
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2
Answers
Step-by-step explanation:
3(x-1) -5(x-4) = 8
3x-3 -5x+20 = 8
3x -5x -3 +20 = 8
-2x + 17 = 8
17 -8 = 2x
9 = 2x
2x = 9
x = 9/2
3(x-1)-5(x-4)=8
We move all terms to the left:
3(x-1)-5(x-4)-(8)=0
We multiply parentheses
3x-5x-3+20-8=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
How many 2/7 s are in 3?
Answers
Answer: 11 is the answer.
there are 11 2/7's in 3 with a remainder of 1/7, 11 1/7.
Step-by-step explanation:
Answer:
10.5 or 21/2
Step-by-step explanation:
The question is asking how many 2/7 are in 3. So let make 3 a equivalent fraction that has 7 as it denomanater. 7/7 is 1, 14/7 is 2, so 21/7 is 3. Now let divide 21/7 by 2/7. flip 2/7 around to 7/2 then multiply by 21/7 which equals
[tex]\frac{147}{14}[/tex] which equals 10.5 or 21/2.
PLEASE HELP I WILL GIVE BRAINLIEST!! EASY 35 POINTS!!!!!!
1. What is the rise between the points (0,0) and (8, 12)?
2. What is the run between the points (0,0) and (8, 12)?
3. What is the slope of the line?
Answers
Answer:
rise: 12 run:8 slope: 3/2
Step-by-step explanation:
1. It rises 12 points up (positive)
2. it runs 8 points to the right ()
3. the slope is rise/run= 12/8
4. simplify=3/2positive
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answers
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
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What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
Answers
On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answers
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
make
x
the subject of the formula
p
+
x
=
t
Answers
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Answers
−8 (1 + x) + 7x PLEASE HELP
Answers
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
please help me find the slope im begging
Answers
Answer1)-1 2) 5/2:
Step-by-step explanation:
solve for x round your answer to the nearest tenth
Answers
use the pythagorean theorem to find the side adjacent to x then use it to solve for x
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answers
Answer:
do you have 12 as an answer?
which expressions are equal ?
Answers
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
write the equivalent fraction by division 30 by 42
Answers
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
I need help on 9 10 and 13 plzzz
Answers
Answer:
its 35
Step-by-step explanation:
What is the slope of the line
Answers
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
Two-Way Frequency Tables Please Help.
Answers
Answer:
17%
Step-by-step explanation:
Percentage of full time employees who ride bus to and fro from work?
Since the table as been arranged as a two way frequency table., we only need to find the value at the intersection of the two Given conditions ;
Horizontally, the type of ride = bus
Vertically, the type of employee = full-time
Hence, full time employees who take bus to and fro = 0.17
As a percentage =, (0.17 * 100) = 17%
y = 3 2 x A 2-column table with 4 rows. Column 1 is labeled Days x with entries 1, 2, 3, 4. Column 2 is labeled Hours y with entries 1 and one-half, 3, 4 and one-half, 6. On a coordinate plane, a line goes through points (1, 1.5) and (2, 3). The models all represent a real-world problem. How would you match the models to a problem? Find a problem with the same variables and the same relationship between the quantities. Find a problem that has the same numbers. Find a problem that has the same variables. Find a problem that has the same x-values.
Answers
sorry about the girl who stole points anways on edg its A
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Step-by-step explanation:
ESTIMATE THE QUOTIENT (Use rounding): 59.67 ÷ 11.1 =
Answers
Answer:
59.67 rounds to 60, 11.1 rounds to 10, so 60 divided y 10 equals 6
Step-by-step explanation:
hope this helps
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
Answers
Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?
24 in.2
108 in.2
224 in.2
486 in.2
Answers
Answer: 486 in
Just did this on edge
The enlargement transformation applied to the rectangular figure gives
a rectangle that is enlarged and similar to the figure.
Correct response:
The area of the enlarged picture is 486 in.²The given dimensions of the picture are;
Height, [tex]\overline{MN}[/tex] = 6 in.
Width, [tex]\overline{LP}[/tex] = 4 in.
The length of QL' = 12 + 42 = 54
By similar triangles, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{ \dfrac{\overline{QL'}}{\overline{QL}}}[/tex]
Which gives;
[tex]\dfrac{\overline{L'P'}}{6} = \mathbf{ \dfrac{54}{12}}[/tex]
[tex]\overline{L'P'} = \dfrac{54 }{12} \times 6 = \mathbf{27}[/tex]
Given that an enlargement gives similar figures, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{\dfrac{\overline{L'M'}}{\overline{LM}}} = Scale \, factor \ of \ the \ enlargement[/tex]
Therefore;
[tex]\dfrac{27}{6} = \dfrac{\overline{L'M'}}{4}[/tex]
Which gives;
[tex]\overline{L'M'} = \dfrac{27}{6} \times 4 = \mathbf{ 18}[/tex]
The area of the enlarged picture is, A = [tex]\overline{L'M'}[/tex] × [tex]\overline{L'P'}[/tex]
Which gives;
A = 27 × 18 = 486
The area of the enlarged picture on the wall is A = 486 in.²
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(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answers
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
can you list these measurements from least to greatest. 2.6cm 3cm 2.7cm
Answers
Answer:
3cm, 2.7cm, 2.6cm
Step-by-step explanation:
3 is higher than 2.7 and 2.6
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answers
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answers
because 4(a-3) what’s in () can’t be done so you go to the next step in pemdas and multiply and then you write it out and your done
Answer: The answer is 4a−12
show me a Graph x=−4.
Answers
Answer:
The graph of line x = -4 is also attached below.
The graph indicates that no matter what the value of y is, the x-value remains the same. Hence, the line is vertical with undefined slope,
Step-by-step explanation:
Given the line
x=−4
The given line x=-4 represents the vertical. We know that the slope of a vertical line is undefined. Thus, the slope of x=-4 is undefined.
As the line is vertical, meaning no matter what the value of y is, the x-value remains the same.
The graph of the line x = -4 is also attached below.
The graph indicates that no matter what the value of y is, the x-value remains the same. Hence, the line is vertical with undefined slope,