Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG

A.-3/8

B.-1/8

C.3/8

D.8/3

Answers

Answer 1

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

Answer 2

Answer:

C. 3/8

Step-by-step explanation:

Since line FG is represented by an equation in standard form, Ax + By = C, the slope of the line is equal to -a/b.

So, the slope of line FG is -8/3

Perpendicular lines have opposite reciprocal slopes. So, a line perpendicular to line FG will have a slope equal to 3/8.


Related Questions

What is the value of “y” in y = -3x if the value of ‘x’ is 2?

Answers

Answer:y=-6

Step-by-step explanation:

-3(2)

Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?

Answers

Amount of tip she gave,

[tex]T = 15\times 0.20\\\\T =\$3[/tex]

Amount of tax given :

[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]

So, total amount she paid is :

Total = Actual cost + Tip + Tax

Total = $(15 + 3 + 1.35 )

Total = $19.35 .

Therefore, total amount she paid is $19.35 .

Hence, this is the required solution.

A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?

Answers

Area =  l × w

=  6.5 × 4

=  26 feet2

Answer:

[tex]A_f=11~inches[/tex]

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and height H has an area of:

A = W.H

We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.

The area of the frame without its contents is the difference between both areas:

[tex]A_f = A_e-A_i[/tex]

Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.

The frame has W=4 inches and L=6.5 inches, thus:

[tex]A_e=4~inches*6.5~inches[/tex]

[tex]A_e=26~inches[/tex]

The photograph has W=3 inches and L=5 inches, thus:

[tex]A_i=3~inches*5~inches[/tex]

[tex]A_i=15~inches[/tex]

The area of the frame is:

[tex]A_f = 26 - 15 = 11~inches[/tex]

[tex]\mathbf{A_f=11~inches}[/tex]

what number must be added to the expression below to complete the square x^2+8x-5=15

Answers

Answer:

Add 16 to both sides.

General Formulas and Concepts:

Pre-Alg

Equality Properties

Algebra I

Completing the Square: b/2a

Step-by-step explanation:

Step 1: Define expression

x² + 8x - 5 = 15

Step 2: Solve

Isolate x terms:                    x² + 8x = 20Complete the Square:        (x² + 8x + 16) = 20 + 16Simplify:                               (x + 4)² = 36

Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?

Answers

9514 1404 393

Answer:

∠BAD < 90°∠BCD > 90°

Step-by-step explanation:

Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.

  ∠BAD < 90°

__

Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.

  ∠BCD > 90°

Answer: I would say that it is equal to.

Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.

From the figure below, the coordinates for point z are:
HELP PLS

Answers

Answer:

(2a, 0)

Step-by-step explanation:

the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.

Meteorology A Weather forecaster uses a barometer to measure air pressure and make weather predictions. Suppose a standard mercury barometer reads 29.8 in. The mercury rises 0.02 in. And then false 0.09 in . The mercury falls again 0.18 in. Before rising 0.07 in. What does the word "rise" suggest? What does the word "fall" suggest?

Answers

Answer:

rise : atmospheric pressure increases

fall : atmospheric pressure decreases

Step-by-step explanation:

In the context, it is given that a weather forecaster takes the help of the barometer to check the air pressure and predicts the weather. The column of mercury level in the barometer shows a rise or fall in the glass tube as the weight of the atmosphere falling on the mercury surface changes.

Here it is given that the mercury rises for 0.02 in, then it falls 0.09 in,  it then rises by 0.07 in and then again falls by 0.18 in. The word "rise" here shows that the weight of the atmosphere is more. In other words, increase in atmospheric pressure increases the level of mercury in the glass tube and the decrease in or "fall" in the mercury level shows the drop in atmospheric pressure.

a major Fishing Company does its fishing in a local League the first year of the company's operation it managed to catch 190000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number ​

Answers

I am pretty sure it’s 245 I did the work so I am pretty sure actually yeah I’m sure I had the same question and got it right

ALL 4 ways of displaying a relation.

Answers

Domain:The set of the first numbers of the ordered pair.
Range:The set of second numbers of the ordered pairs.
Independent:The value of a variable that determines the output.
Dependent:

3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)

Answers

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

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

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

write the sum of 7√28x^6 + 4√7x^6​

Answers

Answer: 21.97025026/250

Step-by-step explanation:

1/9(2m-16)=1/3(3m+4)

Answers

Answer:

m = -4

Step-by-step explanation:

[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]

[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]

[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]

[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]

[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]

[tex]2m - 9m = 12 + 16[/tex]

[tex] - 7m = 28[/tex]

[tex]m = \frac{28}{ - 7} [/tex]

[tex]m = - 4[/tex]

The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?

Answers

Answer:

[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]

Step-by-step explanation:

So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if  [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex]  so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]

A boat was bought for $9500 and sold at a profit of 32%. What was the selling price ?

Answers

the answer is $12,540. that was the selling price

what is z- 4/4 +8 simplified?​

Answers

Answer:

aw baby naw that not cool

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 96 km to miles.

Answers

Answer:

90km is equal 56.25 miles

Answer:

Around 60 miles.

Step-by-step explanation:

First I found that 1 mile was equivalent to around 1.6 km.

8/5=1.6

To find how many miles were equivalent to 96 km I did

96/1.6=60.

60 miles are equivalent to 96 km.

(If you used a km to miles converter it would say exactly 59.6516)

can someone please help me with this problem will give me brainliest.​

Answers

Answer: as a decimal 274877906944

Step-by-step explanation:

Solve the equation.

3(2w−7)=3

Answers

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

(-21 + 6w) = 3

Solving

-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

:) ·g o o d l u c k ·

hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!

Answers

Answer: 11 x 10 = 110.

Step-by-step explanation: you can use a calculator for these types of problems

Answer:

One way is that you do across multiplication so if you did that for 10x11 that'll equal 110

Step-by-step explanation:

which one is a function

Answers

Answer:

I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:

A) is not a function  

Answer:

i get D, sorry if not i did it 3 times and i got D

I'm giving branliest 2X - 3y = 12 in a standard and point slope form ​

Answers

In slope intercept form it is y=2/3x-4
In point slope form it is 2/3x-y-4 :)

select all the factors of:
x^2+ 3x - 10
A) (x-5)
B) (x+2)
C) (x-2)
D) (x+5)​

Answers

Answer:

c & d

Step-by-step explanation:

Factor x^2 + 3 x − 10 using the AC method

PLEASE HELP
Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from
home if she were to take a direct path?

Answers

approximately 11 blocks

Answer:

10.3 (Rounded up)

Step-by-step explanation:

Pythagorean's theorem.

a^2 + b^2 = c^2

You're finding c^2, which is the direct path she would take to get back home. 9^2 + 5^2 is 81 + 25 = 106. Square root of 106 is 10.3 rounded up.

Which of the following would result in a rational number? **

Answers

Answer:

The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.

A flagpole is 15 feet tall. Its shadow is 20 feet long. How far is it from the top of the flagpole to the end of the shadow?

Answers

Answer:

5 feet.

Step-by-step explanation:

The angle of the height and length go down to 5 feet diagonally.

Answer:

25ft

Step-by-step explanation:

To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²

15² + 20² = x²

225 + 400 = x²

625 = x²

√625 = √x²

x = 25

The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?

Answers

Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]

ii) He has to attend 5 practices to run 13 miles.

Step-by-step explanation:

Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.

[tex]d=2p+3[/tex]

i) To solve for p . first subtract 3 from both sides , we get

[tex]d-3=2p[/tex]

Divide both sides by 2

[tex]\dfrac{d-3}{2}=p[/tex]

So. [tex]p=\dfrac{d-3}{2}[/tex]

ii) Put d= 13 , we get

[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]

i.e. he has to attend 5 practices to run 13 miles.

Which function rule does the graph represent?

Answers

answer : a

step by step explanation :

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?

2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______


a 8
c 5.5

Answers

Answer:

Looks like you gave the answer already.

a = 8 and c = 5.5

Step-by-step explanation:

2a + 4c = 38.00  --> x3 --> 6a + 12c = 144

3a + 3c = 40.50 --> x2 --> 6a + 6c = 81

6c = 33

c = 5.5

a = 8

Eric conducted a survey of the cars in four parking lots and wrote the following observations:

15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue

Based on the survey, which parking lot had the greatest percentage of blue cars?

Lot 1
Lot 2
Lot 3
Lot 4

Answers

Lot 4 had the greatest percentage of blue cars.

LOT 4 its the answer

What Number is this 1 x 1010^100

Answers

Answer:

2.704814e+300

is what I got

The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.

To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.

The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.

Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.

Using the logarithmic expression:

log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)

The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:

log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)

Now, using the property of logarithms, log(aᵇ) = b × log(a):

log(1 x 10¹⁰⁰) = 0 + 100 × log(10)

The logarithm of 10 (log(10)) is equal to 1, so:

log(1 x 10¹⁰⁰) = 0 + 100 × 1

Finally:

log(1 x 10¹⁰⁰) = 100

Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.

learn more about logarithms here

brainly.com/question/34675209

#SPJ2

The given question is incomplete, I answer the question in general according to my knowledge:

What is the value of the number using logarithm  1 x 10^100?

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