what is the equation of the line perpendicular to 2x-3y=13 that passes through the point (-6,5)?
Answers
Answer:
y = (-3/2)x - 4
Step-by-step explanation:
Recall that a line perpendicular to a given line has a slope which is the negative reciprocal of the given line. The given line can be re-written as -3y = -2x + 13, or
y = (2/3)x - 13/3
and so the slope of a line perpendicular to this given line is -3/2.
Then the desired equation, in point-slope form, is
y - 5 = (-3/2)(x + 6) (This is in point-slope form.)
Alternatively,
2y - 10 = -3(x + 6) = -3x - 18, or
2y = 10 - 3x - 18, or
2y = -3x - 8, or y = (-3/2)x - 4 (This is in slope-intercept form.)
Related Questions
A car travelled a distance of 50km in an hour. What distance did it travel in 30minutes?
Answers
Pat's potato farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegi stand. The owner of the vigi stand delivered 2/3 of the potatoes he bought to a local grocery store, witch packaged half of the potatoes that were delivered into 5 pond bags. How many 5 pound bags did the grocery store package.
Answers
Answer:
14 bags
Step-by-step explanation:
Total potato grown on Pat's potato farm = 490 pound
Fraction of potato delivered to vegi stand = 3/7 of total potato
Therefore,
Potato delivered to Vegi stand in pound = 3/7 of Total potato grown
= 3/7 of 490 = 3/7 * 490
= 210
Thus, 210 pound potato is delivered to vegi stand
___________________________________________
Fraction of potato delivered to local grocery store = 2/3 of potato delivered to Vegi stand
Therefore,
Potato delivered to local grocery store in pound = 2/3 of potato delivered to Vegi stand
= 2/3 of 210 = 2/3 * 210
= 140
Thus, 140 pound potato is delivered to local grocery store.
____________________________________________________
Half of the potatoes delivered were packaged into 5 pound bags
Half of 140 pound potato is delivered to local grocery store will be
140/2 = 70 pounds.
Thus, 70 pounds potatoes were packed in 5 pound bags.
Let the the no of 5 pounds bag be x.
if one bag has 5 pound potatoes then
x bag will have 5*x = 5x pound potatoes,
but it is given that 70 pounds potatoes were packed in 5 pound bags.
thus,
5x = 70
x = 70/5 = 14
Thus, 14 bags were packed by grocery store package.
EASY multiple choice question for y’all mathy people! Easy points. Question in photo.
Answers
Answer:
B
Step-by-step explanation:
25 POINTS +BRAINLIEST Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown. x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8. 8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12. The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong? The viewer mistakenly determined that one of the equations in the system should be x + y = 20.Instead modifications should have been made before applying the equation. The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation. The viewer multiplied the equation 2 x + y = 28 by –1 incorrectly. The viewer added the equations x + y = 20 and Negative 2 x minus y = negative 28 incorrectly.
Answers
Answer:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Step-by-step explanation:
No of questions= 20
Right= x, Wrong= y, right= 2 points, wrong= -1 point, total points= 28
Correct pair of equations:
x+y= 20 and 2x-y= 28solution:
x= 20-y,2(20-y)- y= 2840-2y-y=283y= 40-283y=12y=4 and x= 20-y= 20-4= 16right= 16, wrong= 4======
The mistake is:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Answer:
Step-by-step explanation:
Finished on edge 2020
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
Step 1
Step-by-step explanation:
I believe it's step 1 because he subtracted 6 from 86 before distributing the five. In math, you must follow PEMDAS (parentheses, exponents, multiplication & division, addition & subtraction.) This person skipped the parentheses.
If a candy bar has 150 calories per 3 servings how many calories are there in 5 servings ?
Answers
Answer:
250
Step-by-step explanation:
Ok so since 3 serving Is 150 you need to divide 150 by 3 to get the colerios per 1 serving, thats 50 then multyply it by 5 and you get 250
When she graduated from college, Andrea deposited $2,000 in a savings account that earned 9% simple interest. What was the balance of her accounts after 6 months?
Answers
Answer:
$2090
Step-by-step explanation:
The time is 6/12 since it is in months and not years
Interest = [tex]\frac{Principal * Rate * Time}{1}[/tex]
=[tex]\frac{2000 * 9 * 6}{100*12}[/tex]
= $90
This means her balance will be $(2000+ 90) = $2090
I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!!
Answers
Answer:
A
Step-by-step explanation:
we know that the plot decreases from left to right so the slope is negative. that eliminates choices b and d. we also know that they y-intercept is between 5 and 8. that eliminates c.
hope this helps
The Taylor family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answers
Answer:
6 teaspoons
Step-by-step explanation:
2 teaspoons = 1/3 tsp of salt
6 teaspoons = 1 tsp of salt
This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.
So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.
The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in.3. What is the height of the pyramid?
Answers
Answer:
Step-by-step explanation:
by making the length an inequality x height will be 1.5x
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96cm
The height of the square pyramid is equal to 24.96 cm.
What is a square pyramid?A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.
Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.
The height of the square pyramid will be calculated as,
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96 cm
Therefore, the height of the square pyramid is equal to 24.96 cm.
To know more about square pyramid follow
https://brainly.com/question/22744289
#SPJ2
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of
this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
VX
O 7 cm and 2 cm
O 8 cm and 9 cm
Answers
Answer: D also, can i have brainliest?
solution:
The other 2 sides added have to be greater than 13
Option A: 5 + 8 = 13. 13 is not greater than 13 so it's not the answer.
B: 6 + 7 = 13. Same thing as option A
C: 7 + 2 = 9. 9 is less than 13 so not the answer.
D: 8 + 8 = 16. 16 is greater than 13 so D is the correct answer.
i did this question for my homework once
hope this helps!
Answer:
8 cm and 9 cm
Step-by-step explanation:
D
find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times the second by 2
Answers
Answer:
First number = 25
Second number = 14
Step-by-step explanation:
Let the numbers be x & y
The sum of twice the first and thrice the second is 92
2x + 3y = 92 -------------------(I)
Four times the first exceeds seven times the second by 2
4x - 7y = 2 --------------------(II)
Multiply equation (I) by -2 and then add the equations
(I)*-2 -4x - 6y = -184
(II) 4x - 7y = 2 { Now add, thus x will be eliminated}
- 13y = -182 {Divide both sides by -13}
y = -182/-13
y = 14
Plugin the value of y in equation (I)
2x + 3*14 = 92
2x + 42 = 92
2x = 92 - 42
2x = 50
x = 50/2
x = 25
First number = 25
Second number = 14
Find the median for the data set. 9, 14, 11, 8, 3, 15*
Your answer
Answers
Answer:
10
Step-by-step explanation:
Align the data from smallest to largest
3,8,9, 11, 14, 15*
The median is the middle number
3,8,9, 11, 14, 15*
It would be between the 9 and 11 since there is an even number of numbers
(9+11)/2 = 20/2 = 10
The median is 10
Solution:
Arranging the data in ascending order:
3,8,9,11,14,15
N(total number of items)=6
Median=(N+1/2) th item
=(6+1/2)th item
=(7/2)th item
=3.5th item.
Again,Median=3rd item+4th item/2
=9+11/2
= 20/2
=10
Median =10
Hope it helps...
One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three
angles.
Answers
Answer:
All of the 3 angles equal to 83°
Step-by-step explanation:
3x + 111° = 360°
3x = 249°
x = 83°
which descriptions from the list below describe the relationship between xyz and uvw check all that apply
Answers
Answer:
similar and same shape.
Step-by-step explanation:
Answer:
same shape and similar
Step-by-step explanation:
Express 192 as the product of its prime factors write the prime factors in ascending order.
Answers
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Need help ASAP please
Answers
Answer: choice D) 5
Step-by-step explanation:
22.5/9=2.5
23.5/2.5=9.4
9.4-4.4=5=x
A rectangle has a width of 54 cm and a perimeter of 222 cm. What is the rectangles length?
Answers
Answer:
57cm
Step-by-step explanation:
Width of the rectangle = 54cm
Perimeter = 222cm
Length = (222 - (54x2))/2 = (222-108)/2 = 57cm
What is the measure of U
Answers
Answer:
U = 48
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+21 + x+23 + x+61 = 180
Combine like terms
3x + 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide by 3
3x/3 = 75/3
x = 25
We want angle u
x+23
25+23
48
Answer:
48
Step-by-step explanation:
All interior angles of a triangle add up to 180.
[tex](x+21)+(x+23)+(x+61)=180[/tex]
If you wanted to you could subtract 21, 23, and 61 from 180.
[tex](x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75[/tex]
Then take then number that's left and divide it by three, since they are all in addition to the same variable.
[tex]\frac{3x}{3}=\frac{75}{3}\\ x=25[/tex]
Then add 25 to 23 which is 48.
3
[tex]3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } [/tex]
Answers
Answer :
(a³y 3√20u)/2
Explanation :
I used these steps in solving the question
I hope it helps :)
Note : The quotient of roots with the same indexis equal to the root of the quotientWrite the division as a fractionSimply the expression [tex] \frac{ {a}^{8} }{ {a}^{ - 1} } = {a}^{9} \\ \frac{ {y}^{5} }{ {y}^{2} } = {y}^{3} [/tex]Use the communative property to reorder the termsTake the root of the numerator and denominator separately.Simplify the radical expressionMultiply the fraction by [tex] \frac{ \sqrt[3]{ {2}^{2} } }{ \sqrt[3]{ {2}^{2} } } [/tex]Calculate the productEvaluate the power ( in numerator)Calculate the product ( in denominator)Calculate the product of 5×4uReduce the index of the radical and exponents with 3
help meeeeeeeeeeeeeee
Answers
Answer:
184 square inches
Step-by-step explanation:
Bases: 4 in × 5 in × 2 bases = 40 in²
Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²
Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²
40+64+80=184 in²
The surface area of the box is 184 in² or 184 square inches.
Answer: B) 184 Square Inches
Step-by-step explanation:
To find the surface area of the box we have to use the formula, the formula is A = 2wl + 2lh + 2hw....
To find the front and the back we have to multiply the width and the length...
8 * 5 = 40 + 40 = 80
To find the right and the left we have to multiply the length and the height...
8 * 4 = 32 + 32 = 64
To find the bottom and the top we have to multiply the height and the width...
4 * 5 = 20 + 20 = 40
40 + 64 + 80 = 184
The surface is 184 square inches, I hope this helps!
What is the average speed of a toy car that travels 240 cm in one minute?
A 4 centimeters per second
B240 centimeters per second
C40 centimeters per second
D centimeters per second
Answers
Answer:
A is correct
Step-by-step explanation:
average speed : distance / time = 240cm / 60sec = 4cm / sec : 4 centimeters per second
Answer:
A
Step-by-step explanation:
To find the cars rate per second we need to divide 240 by 60
240/60 = 4
what is the range of the exponential function f(x)=-3^x+7
Answers
The answer is letter D
What is the solution to the inequality +4 50?
Answers
Answer:
d<-1.75
Step-by-step explanation:
Can anyone please help with this.
Answers
The second question answer is 5*10^2
Two pupils each drew a triangle with one side of 6 cm , one side of 10 cm and one side of 7 cm. Must their triangles be congruent? (Answer ‘yes’ or ‘no’).
Answers
Answer:
no
Step-by-step explanation:
they can be either side because the numbers are different in the angles
What is the difference of (-3.4x+4.7)-(3+2.9x)?
-0.5x+1.7
O -6.3x-1.7
0 -0.5x-1.7
O -6.3x+1.7
please help
Answers
Answer:
option 4
Step-by-step explanation:
-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3 - 2.9x (combine like terms)
= -3.4x - 2.9x + 4.7 - 3
= - 6.3x + 1.7
If two number have same sign, add and put the common sign for the answer.
If two numbers have different sign, subtract and the answer will have the sign of the bigger number
[tex] \frac{1}{( \sqrt[4]{256})^{-2} } [/tex]
1/ (^4√256)^-2
please simplify using exponent laws and then evaluate expression
Answers
Answer:
16.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
what is the value of A when r=9 in inverse proportions
Answers
Answer:
3.6 and 2
Step-by-step explanation:
Given R is inversely proportional to A then the equation relating them is
R = [tex]\frac{k}{A}[/tex] ← k is the constant of proportion
To find k use the condition R = 12 when A = 1.5, that is
12 = [tex]\frac{k}{1.5}[/tex] ( multiply both sides by 1.5 )
18 = k
R = [tex]\frac{18}{A}[/tex] ← equation of proportion
(a)
when A = 5, then
R = [tex]\frac{18}{5}[/tex] = 3.6
(b)
when R = 9, then
9 = [tex]\frac{18}{A}[/tex] ( multiply both sides by A )
9A = 18 ( divide both sides by 9 )
A = 2
what is the range of h?
Answers
Answer:
C -3, -2 ,2, 4
Step-by-step explanation:
The range is the output values, or the y values
-3, -2 ,2, 4 are the output values
