Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?

b) What is the slope of a line parallel to this line?

Answers

Answer 1
a) -2

a slope of a line perpendicular is it’s opposite and reciprocal.

Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.

slope form: y= mx + b

8y = -4 -4x

y = -1/2x -1/2

So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.

b) -1/2

A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.

Related Questions

For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.

Answers

If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?

2x+y=8
x+y=4
Where do they intersect at?

Answers

Answer:

[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]

Need help on this!!! 7 points!!!!

Answers

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side

Answers

Answer:

20

Step-by-step explanation:

the perimeter of the square and the triangle are the same

4×(x + 10) = 3×4x

4x + 40 = 12x

40 = 8x

x = 5

=>

a triangle side is 4x = 4×5 = 20

which of the following is a geometric sequence

A. 6, 18, 54, 162
B. 1, 4, 5, 9, 14
C. 3, 6, 9, 12, 15
D. 3, 5, 8, 13, 21

Answers

I’m so sorry I need points

WILL GRANT BRAILIEST PLZ REAL ANSWERS ONLY OR REPORTING!​

Answers

Hello,

If the question is simplify then

we suppose x not equal to 5 and x not equal to -5

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\[/tex]

else

if the question is to find the euclidian 's quotient then

[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\[/tex]

euclian's quotient is 1

remainder is -10/(x+5)

pls help:( algebra 1 btw


17(2 + 12g) + 14

Answers

Answer:

204g + 48

Step-by-step explanation:

simplifying the expression

Answer: 204g+48


Step 1: Rewrite equation

To start off, let’s rewrite the equation to better understand the problem we are working with.

17(2+12g)+14

Step 2: Distribute

In this type of equation, we will not find an exact answer. Rather, we will simplify the equation by distribution and combining like terms. Let’s start by distributing. To do so, multiply the numbers outside of the parentheses with the numbers on the inside of the parentheses. This will be 17•2 and 17•12g. Let’s do so now.

17(2+12g)+14
34+204g+14

Step 3: Combine like terms

As the final step, we need to combine like terms. This means we add/subtract terms that share the same variable, or lack of. In this case, we need to add 34 and 14 together. Let’s do this now.

34+204g+14
204g+48

This is your final answer. 204g+48 is the new equation. Hope this helps! Comment below for more questions.

Cláudio pode ir de sua casa a escola andando três km para o Norte, 2 para o oeste, um para o sul, quatro para o leste e, finalmente, 2 para o sul ponto para ir de sua casa a escola em linha reta, Cláudio deve andar: a) 1 km para o sul b) 2 Km para o leste c) 3 km para o oeste d) 4 km para o Norte e) 5 km para o leste

Answers

Answer:

b) 2 Km para o leste

Step-by-step explanation:

1. 2 km N

2. 2 km W

3. 1 km S

4. 4 km E

5. 2 km S

Sul e Norte:

(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0

Este e Oeste:

(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E

Veja imagem abaixo.

10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b

Answers

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2

Answers

Answer:

let

diagonal 1=6cm

diagonal 2=10cm

Area of rhombus=½*diagonal 1*diagonal 2=½*6*10

=30cm²

Answer:

Area of rhombus is 30cm².

Step-by-step explanation:

A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.

Solution :-

Let us assume that

[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]

Finding the area of rhombus

Using Formula :-

Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]

Substitute the values of both diagonals.

Area of rhombus = ½ × 6cm × 10cm

Multiply the numbers

Area of rhombus = ½ × 60cm²

Divide we get ,

Area of rhombus = 30 cm

18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles

Answers

Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Ingrid usually runs 12 miles in 2 hours.

2 hours = 120 minutes

Then the speed will be

Speed = 12 / 120

Speed = 0.1 miles per minutes

If she only has 40 minutes to run today.

Then the number of miles can she run, going at the same rate will be

Distance = 0.1 x 40

Distance = 4 miles

Then the correct option is C.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

product of (n+bv^2) (5n+3bv2)

Answers

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

Under which transformation is size not preserved?
A. reflection
B. dilation
C. rotation
D. translation

Answers

i believe the answer is B. dilation

The size is not preserved in B. dilation

What is transformation?

Translation happens when we move the image without changing anything in it. Hence the shape, size, and orientation remain the same.

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

Hence,The size is not preserved in B. dilation

More about translation :

https://brainly.com/question/1761538

#SPJ2

Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x

Answers

F(x)- 10g0.6*X= 030437

.. A machine in a candy company creates 9,328 pieces of candy each hour. If a box of candy has 98 pieces in it, how many boxes does the machine make in one hour? The machine makes boxes each hour.​

Answers

The machine makes 95 boxes an hour. Hope this helps

You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?

Answers

Answer:

Orange juice

Step-by-step explanation:

The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.

We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.

what is office personnel?​

Answers

Answer:

Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.

There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12th
$
12
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2

Answers

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]

WRITE THE FUNCTION FOR THE GIVEN TABLE PLS

Answers

Answer:

y=X²-4x+5

Step-by-step explanation:

substitute all the left side values to get the outputs..

y=(5)²-4(5)+5 =10

Answer:

A

Step-by-step explanation:

In fact, if we try to substitute, we have:

10 = 5^2 -4(5) +5

10 = 25 - 20 + 5

10 = 10 (ok)

17 = -2^2 - 4(-2) + 5

17 = 4 + 8 + 5

17 = 17 (ok)

and so on

CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ

Answers

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

The answer is b I’ve already taking that question

An on-demand movie company charges 52.95 per movie plus a monthly fee of $39.95. Which expression represents
the yearly cost for x movie rentals?
295x+39.95
39.95x295
2958-39 95(12)
295x3995(12)
Hurry I'm being timed !

Answers

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec​

Answers

Answer:

im bad at math but i think its 120

It should be 120 hopefully this helps

In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *

Answers

Find out how much Alex earned in 35 hours first.

1 hour = $12.50

35 hours = $12.50 x 35 = $437.50

Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’

1 hour = 12.50 x 1.5 = $18.75

5 hours = 18.75 x 5 = $93.75

$437.50 + $93.75 = $531.25

Alex would have earned $531.25 for the week.

Solve the equation and enter the value of x below. 3(x+11) + 5= 68​

Answers

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

Which is the equation of a line parallel to the line with the equation: y = −14x + 7
y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answers

Answer:

y = −14x + 3

Step-by-step explanation:

Parallel lines have the same slope

The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )

Where m = slope

-14 takes "m's" place meaning that the slope = -14

If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14

The only equation that has a slope of -14 is D

Solve for x: 5x - 3 = 10

Answers

Answer:

5x - 3 = 10

5x = 13

x = 13 / 5

x = 2.6

Step-by-step explanation:

Solving for x:-

<> 5x = 10 + 3

<> 5x = 13

<> 5x ÷ 5 = 13 ÷ 5

<> x = 2.6

Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours

Answers

Hi! Amy will earn $175 for 7 hours of babysitting. $25 X 7 is 175. I hope this helps, Goodluck :)

The pair of equations y = 0 and y = -7 has how many solutions?

Answers

Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

If px-3+qx+1=2x+3,Find the value of p+q

Answers

Answer: p + q = (2x+5)/x

isolate p + q on one side: therefore rewrite the equation.

px + qx -2 = 2x + 3

px + qx = 2x + 5

x(p+q) = 2x+5

p + q = (2x+5)/x
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