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)
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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
Please help ! I’ll give brainliest
Answer:4,5
Sorry for taking a spot
Answer:
(-4,-5)
Step-by-step explanation:
Start at the point and move 7 boxes to the right and 4 boxes up. Otherwise, the point it (-3,1) so just add (7, 4). -3 plus 7 equals 4. 1 plus 4 equals 5.
180 formula is (-x,-y). The answer is (-4,-5)
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
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.
During a chess match, there are 12 pieces left on the board. The ratio of white pieces to black pieces is 2 : 1. How many white pieces are on the board?
Answer:
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Step-by-step explanation:
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
multiplying two complex numbers involves _____
Answer:
232
Step-by-step explanation:
232
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)
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 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:
Keith bought a soft drink for 4 dollars and 9 candy bars . He spent a total of 31 dollars . How much did each candy bar cost ?
Answer:
they each costed $3
Step-by-step explanation:
whats the slope of (8,18) and (16,24)
Answer:
6/8
Step-by-step explanation:
I answered this math question on edge and 100%.
The store offers a 20% discount A regular price of a t shirt is 18$ what is the discount price
Answer:
$14.40
Step-by-step explanation:
20% off of $18 is $14.4
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
john wants to measure the hieght of a tree. he walks exactly 100 ft from the base of the tree and looks up. the angle from the ground to the top of the tree is 33. how tall is the tree
Answer:
The tree is 64.9 ft tall.
Step-by-step explanation:
Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.
For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.
The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.
tan A = opp/adj
tan 33º = y/100
y = 100 * tan 33º
y = 64.9
Answer: The tree is 64.9 ft tall.
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).
Fill in wats missing?
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:
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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
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
Please I need your help!! Find the value of x.
A. 15°
B. 17°
C. 21°
D. 35°
E. 142°
Answer:
x = 21°
Step-by-step explanation:
Triangle = 180°
Angle YXZ = 34°
Angle XZY = (x + 104)°
Angle x = ?
34° + x° + 104° + x° = 180°
138° + 2x° = 180°
2x° = 180° - 138°
2x/2 = 42/2
x = 21°
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 :)
Please help! Will mark brainliest!
Answer:
x= -45
Step-by-step explanation:
Subtract 5 from both sides first
Simplify it
Multiply both sides by 3
Simplify it again
Divide both sides by -2
your answer would be x= -45
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
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! ;)
-3x - 8 = 50
Anyone know how to solve this by elimination?
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
What number is the smallest?
-1 or -0.5
CAN SOMEONE PLS HELP ME THIS IS DUE TODAY PLS HELP
Answer:
hi
Step-by-step explanation:
bye
Answer:
b. 408
Step-by-step explanation:
did the work
give brainliest please
Is (-3,4) a solution to the equation y=3x+107
O A solution
O Not a solution
Answer:
no
Step-by-step explanation:
its is not a solution, however if the equal sign actually looks like
[tex] \leqslant [/tex]
then it would be yes
Answer:
Not a solution
Step-by-step explanation:
( x, y ) = ( - 3, 4 )
x = - 3
y = 4
Substitute the values of x and y in the equation,
y = 3x + 107
4 = 3 ( - 4 ) + 107
4 = - 12 + 107
4 = 107 - 12
4 ≠ 95
Therefore,
( - 3, 4 ) is not a solution to the
equation y = 3x + 107.
