Hint :-
The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]Solution :-
The given equation to us is ,
[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]
Convert it to slope intercept form we have ,
[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]
On comparing to the slope intercept form of the line we have ,
[tex]m = \dfrac{-4}{3}[/tex]As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,
[tex] m_{perp}= \dfrac{3}{4}[/tex]Now using slope point form rewrite the equation of the perpendicular line ,
[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]
I need help with this please
Answer:
23 26 25
24 21 27
29 22 28
Step-by-step explanation:
23+25= 48
74-48= 26
This way find all the values.
What is the value of this expression when P = 5 and q = -2 -3(p-q)^2
Answer:
-147
Step-by-step explanation:
-3(5--2)^2
-3x7^2
-3x49
-147
can someone explain how to solve the angle A
Josiah has 47 toy cars. If he organizes them in groups of 9 how many toy cars will be in the final group
Answer:
He Will Be Left With 2 Toy Cars
Step-by-step explanation:
Because 5 x 9 = 45
So 47 - 45 = 2
Solve using elimination.
8x − 7y = –5
–x + 4y = –15
Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
Plot all points that are a distance of 7 units from 4. What are their values?
Distance is the number of units between points.
The distance that are 7 units from 4 are: 11 and -3
A distance of 7 units from 4 means:
[tex]x - 7 = 4[/tex] or [tex]x + 7 =4[/tex]
Where:
x is the required distance
Solve for x in both equations.
[tex]x - 7 = 4[/tex]
[tex]x = 7 + 4[/tex]
[tex]x = 11[/tex]
[tex]x + 7 =4[/tex]
[tex]x =4 - 7[/tex]
[tex]x =- 3[/tex]
So, the distance that are 7 units from 4 are: 11 and -3
See attachment for illustration
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Simplify.
1 - 4x + 3+ - 1 + 2
Enter your answer in the box.
Do not use decimals in your answer.
Basic
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Answer:
4x + 4
Step-by-step explanation:
di ako sure pero i tried
Answer:
1/4 - 4x
Step-by-step explanation:
hope this helped
The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
The perimeter of the circle = πd where d is the dia of the circle.
Given a triangle with sides a,b and c
The perimeter of triangle is = a + b+ c
So,
The perimeter of the triangle is the sum of all sides.
Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.
To learn more about Perimeter,
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Simplify, then solve
Answer:
Where is equation to solve??
(I need help)
Compute each of the following mentally.
a.) 160 + 92 – 32 + 40 – 18
b.) 36 + 97 – 80 + 44
Answer:
b. 9
Step-by-step explanation:
36+97=133
80+44=124
133-124=9
An angle measures 64.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: angle 1 = 56 and angle 2 = 124
Step-by-step explanation:
Supplementary angle equal 180 degrees
let X be angle 1 and X +68 be angle 2
x + x + 68 = 180
2x + 68 = 180
- 68 - 68
2x = 112
x = 56
x + 68 = 56 + 68 = 124
please help :(. i don’t know how to do this
please help! no work needs to be shown:)
for the function below find the following:
f(x)=25x^2-36
a. the zeros x=?
b. the x & y intercepts
(x,y) = ( )
(x,y) = ( )
c. the y intercept of the graph
(x,y) = ( )
Answer:
a. (-1.2,0) (1.2,0)
b. (-1.2,0) (1.2,0)(0,-36)
c. (0,-36)
You hike 1.2 miles west from a trailhead and then receive a text from a friend. She
is.x miles west of the trailhead. You hike to meet her, and then you both hike back
to where you left off on the trail. You hiked 2.7 miles in total. Formulate an absolute
value equation to represent this situation,
Answer:
the answer is definitely 4
Ben gets $50 per day as wages and $6.00 as commission for every book he sells in a day. His daily earnings goal is $140.
Using the equation constructed in previous question, solve for the
number of books he must sell to meet his daily earnings goal.
Answer:
the basic wage is 50$
the extra to get 140$ is 90$(140-50)
.............
as for 1 book he get 6$
so for ? book he get 90$
then ? =(90$*1)/6$= 15 book
that's it hope i helped.
The lunch check is $16.98. Estimate the tip
using a rate of 15%
An online school with 125 classes has a student enrollment of 2,500 students. Which rate represents the relationship between the student enrollment and the number of classes? 12 classes per student 20 classes per student 20 students per class 30 students per class
Answer 20 classes per student
Step-by-step explanation:
Right triangle CDE has its right angle at vertex
D. The length of DE is 8 feet and the length of
CE is 17 feet. What is the length, in feet, of CD?
A) 11
B) 12
C) 14
D) 15
The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
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which data set shows greater variability ?why?
A or B
shows greater variability because the MAD is greater that the MAD for
A or B
What is $36.99 in tax and 20% in tip?
Show your work! Please
To complete a job, a plumber needs 10 sections of pipe that are 24.125 inches in length. How much pipe is needed?
Answer:
241.25
Step-by-step explanation:
24.125 x 10= 241.25
Answer:
That would be a total of 241 and a quarter inches of pipe which is equal to 20.10417 feet of pipe.
Step-by-step explanation:
24.125x10=241.25/12=20.104166666
Because there are 12 inches in a foot.
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
Hello again for the millionth time, need help on this, help pls, thx.
b. One room is 8 ft wide and 12 ft long.
Another room is 9 ft wide and 15 ft
long. What is the difference in area?
Answer:
12-8
15-9
Step-by-step explanation:
translate this into an equation, use n for the number: "the different of 3 times a number and 6 is twice the number."
Answer:
6
Step-by-step explanation:
6 * 3 = 18
18 - 6 = 12
12 is twice of 6, the number
What is your weight on Jupiter? (g = 26.0 m/s^2)
Answer:
depends on how much you weigh
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]
Answer:
option D is the right answer
please mark this answer as brainlist
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
Solve for x
X-11=-2
Help
Answer:
9
Step-by-step explanation:
x - 11 = - 2
x = - 2 + 11
= 11 - 2
x = 9
◻︎ ◻︎
Hello There!
We must make sure numbers are on the right side of the equation and x's (variables) are on the left:
x=-2+11
x=9
Hope this helps you! :)
Answered by:
[tex]GraceRosalia[/tex]