the lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

Answers

Answer 1

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂


Related Questions

What is the value of x in the equation 8+4 = 2(x-1)?
A. 5

B. 11/2

C. 13/2

D. 7​

Answers

Answer:

D. 7​

Step-by-step explanation:

brainiest plz

D

12=2x-2
2x=14
X=14/2
X=7

what is the f(5) for the function f(x)=3x+6

Answers

Answer:

21

Step-by-step explanation:

[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]

I think it 21! But I’m not 100%

Write the equation of a line that is perpendicular to the equation y=2/3x-6, but that passes through the point (2, 3).

Answers

Answer:

y=−3/2x+6

Step-by-step explanation:

perpendicular, so theres a lot of switching things

how do you find the slope intercept on a graph?

Answers

Answer:

The equation for slope-intercept form is y=mx+b In this form, m is the slope of the line and the b is the y-intercept. or rise/run

Step-by-step explanation:

Answer:

The rose over run so the difference vertical/ difference horizontal

Step-by-step explanation:

Please help me with this question.​

Answers

Answer:

Area = 43.26

Step-by-step explanation:

There is a short way to do this.

Area = 1/2 s*t * Sin(R)

s = 14

t = 7

Area = 1/2 * 14 * 7 * Sin(62)

Area = 7 * 7 * sin(62)

Area = 49 * sin(62)

Area = 43.26

==================

There is another way you could do this.

Use the Cos law to find r

Then use Heron's formula to find the area. Trust me, you don't want to do that.

Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.

Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each
ticket costs $15, how much money did Mr. McDonald’s students raise?

Answers

Answer:

6000 dollars

Step-by-step explanation:

25x16x15

What’s the answer to this problem?

Answers

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

Please help I don’t know how to do this

Answers

Answer:

∠A=∠W

∠Z=∠D

AB=WX

ZY=DC

AD=WZ

Step-by-step explanation:

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

Write an equation of the line that passes through the points (0,4) and (2, 10).

Answers

Answer:

y=3x+4

Step-by-step explanation:

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter​

Answers

Let the length of the base of an isosceles triangle = x cms, then the length of a

leg =(x-7)cms. Acordingly:-

(x-7)+(x-7)+ x= 52 cms.

or. 3x=52+14

or. x = 66/3 = 22 cm.

Length of the base= 22 cm.

Which choices are solutions to the following equation?
Check all that apply.
x^2 - 3x = -5/4

Answers

Answer:

The answer to this question is C.

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

1.The first equation should be multiplied by 2 and the second equation by 3.
2.The first equation should be multiplied by 2 and the second equation by −3.
3.The first equation should be multiplied by 3 and the second equation by 4.
4.The first equation should be multiplied by 3 and the second equation by −4.

Answers

Answer:

Multiply the first equation by 2 and the second equation by 3 to eliminate y

Step-by-step explanation:

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

Multiply the first equation by 2 and the second equation by 3 to eliminate y

2( 4x − 3y = 34 )  = 8x -6y = 68

3( 3x + 2y = 17) = 9x  +6y = 51

Add the equations together

8x -6y = 68

9x  +6y = 51

----------------------

17 x    = 119

The correct answer should be A.

Helllllllp ill give out brainliest nooooooo spams

Answers

Answer:

77 centigrams = .077 decagrams

Step-by-step explanation:

Because 1 centigram = .001 decagram

Answer:

0.077

Step-by-step explanation:

your welcome

Someone help plz right answer gets brainliest

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What do you need help with?

Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?

Answers

Answer:

23.94

Step-by-step explanation:

Before Tax Price: $22.80

Sale Tax: 5.00% or $1.14

After Tax Price: $23.94

The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30, what is its sale price? The usual price of a sweatshirt is $18, what is its sale price? The usual price of a soccer ball is $24.80, what is its sale price?

Answers

Answer:

Backpack: $5.50

Sweatshirt: $3.70

Soccer Ball: $3.72

Step-by-step explanation:

To find sale prices, you multiply the original price by the sale percentage. Once you have that answer, you subtract it from the original price.

For this problem, you have to multiply every number by .85 which is the decimal for of 85%.

.85*30=25.50

30-25.50=$5.50

.85*18=15.30

18-15.30=$3.70

.85*24.80=21.08

24.80-21.08=$3.72

Answer: The sale price of the backpack is $4.50. The sale price to a sweatshirt is $2.70  The sale price to the soccer ball is $3.72

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 18 × 85/100

Discount = 18 x 0.85

You save = $15.30

 Final Price = Original Price - Discount

Final Price = 18 - 15.3

Final Price = $2.70

Discount = Original Price x Discount %/100

Discount = 30 × 85/100

Discount = 30 x 0.85

You save = $25.50

Final Price = Original Price - Discount

Final Price = 30 - 25.5

Final Price = $4.50

Discount = Original Price x Discount %/100

Discount = 24.8 × 85/100

Discount = 24.8 x 0.85

You save = $21.08

Final Price = Original Price - Discount

Final Price = 24.8 - 21.08

Final Price = $3.72

Write each decimal as a fraction or mixed number in simplest form 0.125

Answers

Answer:

1/8 as a fraction

Step-by-step explanation:

Answer: mixed number:0 1/8 or just 1/8

Step-by-step explanation:

A washer and dryer cost $906 combined. The washer cost $56 more then the dryer. What is the cost of the dryer ?

Answers

906+56= 962. The dryer is $962

Answer:

It cost $397

Step-by-step explanation:

Because 906 divided by 2 equals 453 minus 56 equals 397

Which graph represents a proportional relationship

Answers

Answer:

First One.

The first one is going up and the second one is going down. (Really don't know how to explain this I just looked at it and saw...)

Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​

Answers

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

Write an equation in point-slope form that goes through the point (-2,5) and has a slope of 6.

Answers

Point slope: y-y1 = m(x-x1)
y-5 = 5(x+2)

What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16

Answers

The answer for this is 101.16 aka C.

The length of a rectangle is 4 more than the width. If the perimeter is 36 inches, what’s the width and length of the rectangle?

Answers

Answer:

7 inches

Step-by-step explanation:

Answer:

The width and the length of the rectangle is...

Step-by-step explanation:

If we are looking at the total Perimeter of the rectangle, which is 36 inches, then we have to take in the information of the '4 more than the width'. so we need to think of the numbers that would make sense in this scenario. the formula to solve this would be:

w + (l + 4 ) x 2 = 36

So we would need to look at the different scenarios that don't go over 18.

if the width = 7

and the length = 11

7 + 11 = 18

18 x 2 = 36.

Someone please help me with this geometry question

Answers

Answer:

Step-by-step explanation:

-7x + 12 + (-8x + 48) = 180

-15x + 60 = 180

-15x = 120

x = -8

m<BDC= -7(-8)+ 12 = 56 + 12 = 68

m<CBA = -8(-8)+48 = 64+48 = 112

Answer:

x=-8

mbdc=68

Step-by-step explanation:

bda is a straight angle

=> bdc+cda=180°

=> (-7x+12)°+(-8x+48)°=180°

=> -15x+60=180°

=> -15x=120°

=> x=-8

bdc= (-7)×(-8)+12=68°

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

fine the slope of the line that passes through the points (2,4) and (3,-2)

Answers

Answer:

slope = -6

Step-by-step explanation:

slope = Δy/Δx

slope = (4+2)/(2-3)

         = 6/-1

slope = -6

Slope is 6 I had a test with the same question !!

Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?

Answers

103 because you have to add all the numbers up then divide that number by however many numbers there are to get mean.

Mrs. Smith spent $67.40 on groceries. The tax rate is 2%. What is the amount of sales tax?

Answers

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°

Answers

Answer:

35

Step-by-step explanation:

The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.

Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there

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