Answer:
(x - 1)(x^2 + x + 1)
Step-by-step explanation:
they said it was the answer.
Which equation is perpendicular to y = 4x - 6 and passes through point (8, 12).
Answer:
The line is ;
4y = -x + 56
or
y = -x/4 + 14
Step-by-step explanation:
Generally, the equation of a straight line is;
y = mx + c
where m represents the slope
so for y = 4x - 6
The slope is 4
If two lines are perpendicular, the product of their slopes is -1
So for the second line, the slope will be -1/4
The equation in the point slope format will be ;
y-12 = -1/4(x-8)
y-12 = -x/4 + 2
Multiply through by 4
4y-48 = -x + 8
4y = -x + 8 + 48
4y = - x + 56
The equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:
[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)
or
[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)
Recall:
Point-slope equation is given in the form of: y - b = m(x - a)Slope-intercept equation is given in the form of: y == mx + bWhere, m is the slopeThe slopes of two lines that are perpendicular to each other are the negative reciprocal of one another.Given:
y = 4x - 6
Slope (m) = 4The negative reciprocal of 4 is: -1/4To write the equation of a line that passes through (8, 12) and is also perpendicular to y = 4x - 6, substitute m = -1/4 and (8, 12) into
y - b = m(x - a)
Thus:[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)
Rewrite in slope-intercept form
[tex]y - 12 = -\frac{1}{4} (x - 8)\\\\y - 12 = -\frac{1}{4}x + 2\\\\y = -\frac{1}{4}x + 2 + 12\\\\y = -\frac{1}{4}x + 14[/tex](point-slope form)
Therefore, the equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:
[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)
or
[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)
Learn more here:
https://brainly.com/question/16732089
The store offers a 20% discount A regular price of a t shirt is 18$ what is the discount price
Answer:
$14.40
Step-by-step explanation:
20% off of $18 is $14.4
What’s the equation of the line that passes through the points (7,-4) and (-7,1)
Answer:
5x +14y = -21
Step-by-step explanation:
One way to write the equation of a line from two points is ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0
5(x -7) +14(y +4) = 0
5x +14y -35 +56 = 0
5x +14y = -21 . . . standard form equation of the line
multiplying two complex numbers involves _____
Answer:
232
Step-by-step explanation:
232
-3x - 8 = 50
Anyone know how to solve this by elimination?
21 less than three fifths of a number
Answer:
3/5x - 21
Step-by-step explanation:
3/5x represents the three fifths of a number, and - 21 represents 21 less :)
A map of the scale of 1 inch equals 15 miles what is the actual distance between two cities are 2 1/2 inches apart on the map
Answer:
37.5
Step-by-step explanation:
1=15 so 2=30 plus half of 15 (7.5) add, 37.5! :) Hope this helped! Have a good day! ;)
Please help I never learned this
Answer:
7
Step-by-step explanation:
7x7x7
y=-2x+4y=−2x+4y, equals, minus, 2, x, plus, 4 Complete the missing value in the solution to the equation. ((left parenthesis ,-2),−2)comma, minus, 2, right parenthesis
9514 1404 393
Answer:
(3, -2)
Step-by-step explanation:
Given:
y = -2x +4
Find:
the value of x for y=-2
Solution:
Put the value of y into the equation and solve for x:
-2 = -2x +4 . . . . use -2 for y
-6 = -2x . . . . . . . subtract 4
3 = x . . . . . . . . . .divide by -2
The solution of interest is (3, -2).
PLEASE PLEASE PLEASE HELP QUICK TOO PLEASE
Answer:
B 53.
Step-by-step explanation:
180-79=101
101+6x+13=180
-114 -114
6x=66
x=11
3(11)+20
33+20
53
Select all of the numbers below that are equivalent to 3/4.
A) 6/8
B) 8/6
C) 6/12
D) 9/16
E) 15/20
F) 8/4
I already chose A and E, I just need the other one and can you please explain :)
What number is the smallest?
-1 or -0.5
(-x²+9) + (-3x²-11x+4)
Answer:
=-4x^2-11x+13
Step-by-step explanation:
What is the factorization of the expression below?
16x2 - 25y2
A. (8x-5y)(2x + 5y)
B. (8x - 5y)(2x - 5y)
C. (4x-57)(4x + 5y)
O D. (4x - 5y)(4x - 5y)
Answer:
(4x-5y)(4x+5y)
Step-by-step explanation:
A book advertised as 20% off. If it cost 70$ how much was it originally
Answer:
The answer is $84
Step-by-step explanation:
hope this helps
$70×0.2=14
$70+$14=$84
Answer:
Step-by-step explanation:
$87.50 would be your answer
since you're trying to find the book cost originally you would subtract the total minus the discount to get .8
then you would divide 70/.8 to get your answer of 87.50
At the beginning of Grade 6, the ratio of advanced math students to the number of regular math students was 3: 8. After taking placement tests, students we removed around changing the ratio of advanced students to the number of regular students to 4: 7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement test?
Answer:
69 students were advanced and 184 were regular
Step-by-step explanation:
begining
advance 3: regular 8
after exam
advance 4 (92students) : regular 7 (92/4=23; 23*7=161 students)
So total students we have 161+92=253,
remember we have advance 3: regular 8 so
253/(3+8)=253/11=23
23*3=69, 23*8=184
Bradley answered 80% of the questions on his science test correctly. There were 30 questions on the test, and all the questions had equal value. How many questions did Bradley answer correctly on his test?
Answer:
he got 24 correct
Step-by-step explanation:
so basically yo do 30 divided by 10 to get 10 percent then you do that answer times 8 to get 80 percent yw xx
There are 24 answer correctly on his test.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Bradley answered 80% of the questions on his science test correctly.
And, There were 30 questions on the test.
Now,
Since, There were 30 questions on the test.
Hence, The correct answers = 80% of 30
= 80/100 × 30
= 24
Thus, Number of Bradley answer correctly on his test = 24
Learn more about the percent visit:
https://brainly.com/question/24877689
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Fill in wats missing?
maria rode her bike for three-fifths of a miles did she ride altogether
A.1/5 B.3/10 C.7/5 D.4/5
Complete Question:
Maria rode her bike for three-fifths of a mile on Monday and one-fifth of a mile on Tuesday. How many miles did she ride altogether?
Group of answer choices.
A. 1/5
B. 3/10
C. 7/5
D. 4/5
Answer:
D. 4/5
Step-by-step explanation:
Given the following data;
Distance covered on Monday, D1 = 3/5 miles
Distance covered on Tuesday, D2 = 1/5 miles
Total distance covered, Td = D1 + D2
Substituting into the equation, we have;
[tex] Td = \frac {3}{5} + \frac {1}{5}[/tex]
Lowest common denominator (LCD) = 5
[tex] Td = \frac {3 + 1}{5} [/tex]
Td = 4/5 miles.
Therefore, Maria rode 4/5 miles altogether.
8.15,8.04,8.009 least to greatest
Answer:
8.009, 8.04, 8.15
Step-by-step explanation:
Look at the decimal places. The farther away it is on the right side, the less the value of the number.
Answer:
8.009; 8.04; 8.15
Step-by-step explanation:
8.009 is the least
8.15 is the greatest
hope this helps :3
if it did pls mark brainliest
whats the slope of (8,18) and (16,24)
Answer:
6/8
Step-by-step explanation:
I answered this math question on edge and 100%.
I need help please ASAP!!!!!!
Answer: y = 2x + 14 x is the number of weeks. 14 (b) was his original performance in miles jogged per week. y is the expected performance.
Sketch attached.
Step-by-step explanation: Given John's current performance, it is likely that he was able to jog some number of miles per week, the "b" in slope-intercept form. To calculate:
30 = 2(8) + b
30 = 16 + b
30 - 16 = b
14 = b
Substitute into the slope intercept equation:
y = 2x + b
divide 880 in the ratio 3:5
Answer:
Step-by-step explanation:
So take 3:5 and add them which gets us 8 then divided 880 by 8 = 110
Hope this helps :D
Answer:
330:550
Step-by-step explanation:
divide 880 to (3+5=8) so 880/8=110
3:5 will be 3*110: 5*110 so is 330: 550
Name a ratio that is equivalent to 2:3
Answer:
4:6
Step-by-step explanation:
You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.
What is the value of x in the equation
8+4 = 2(x-1)?
5
11
2
13
2.
07
Answer:
7
Step-by-step explanation:
8+4=2(x-1) (Given)
12=2x-2 (Distribute and simplify)
14=2x (Addition Property Of Equality)
7=x (Division Property Of Equality)
Two lines, C and D, are represented by the following equations: Line C: y = x + 5 Line D: y = −2x − 1 Which of the following options shows the solution to the system of equations and explains why? (4 points) a (−2, 3), because the point does not lie on any axis b (−2, 3), because both lines pass through this point c (−2, 3), because one of the lines passes through this point d (−2, 3), because the point lies between the two axes
Answer:
The correct answer is B
Step-by-step explanation:
I know this is the answer because I took the test and got it right.
Describe and correct the error in finding the slope and the y-intercept of the graph of the equation.
Answer:
The error is the slope is -4 and the correct is, the slope is [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
You must put the equation in the form of y = m x + b, where
m is the slope b is the y-interceptLet us put the equation n the form above
∵ x = -4y
→ Switch the two sides
∴ -4y = x
→ Make the coefficient of y equal 1 by divide both sides by -4
∵ [tex]\frac{-4y}{-4}[/tex] = [tex]\frac{x}{-4}[/tex]
∴ y = [tex]\frac{x}{-4}[/tex]
→ Write [tex]\frac{x}{-4}[/tex] as [tex]-\frac{1}{4}[/tex] x
∴ y = [tex]-\frac{1}{4}[/tex] x
→ Compare it by the form above
∴ m = [tex]-\frac{1}{4}[/tex] and b = 0
∴ The slope of the is [tex]-\frac{1}{4}[/tex] , and the y-intercept is 0
∴ The error is the slope is -4 and the correct is the slope is [tex]-\frac{1}{4}[/tex]
Helen has five times more as money as Brian they're both have $42 together how much do they have
Answer:
Helen has $35 and Brian has $7
Step-by-step explanation:
5b + b = 42
6b = 42
/6 /6
b = 7
7(5) + 7 = 42
35 + 7 = 42
42=42
Which of the following describes the transformation from AABC" -->
AA"B"C"?
A) reflection over X-axis, then translation (0,2)
B) 90 counterclockwise rotation, then reflection over y-axis
C) reflection over y-axis, then rotation 180
D) 90 counterclockwise rotation, then reflection over x-axis
D. 90 counterclockwise rotation, then reflection over x-axis
Find the unknown angle measures
Answer:
Step-by-step explanation:
ok so this is a vetical angle. so they are equal to 180. so if 1 measurement is found the other is the difference of 180 and that angle measeurement.
so y is the same as 110
and 180 - 110 is 70, so x and z are equal to 70.
i hope this helped you :)
Answer:
y=110, x and z=70
Step-by-step explanation:
110 and y are congruent angles, so they both are 110 degrees.
both angles on the same side of the line always total 180 degrees,
so x and z must be 70.
