Are these parallel, perpendicular, or neither y= --2x+4 and -5x+10y=5


NEED HELP ASAP!!!!

Answers

Answer 1
Parallel lines have equal slopes but different y-intercepts, so they start on different y-axis locations but will never intersect since they have equal gradients (slopes). Perpendicular lines have negative reciprocal slopes. So, let’s transform all equations into slope-intercept form for simplicity.

Equation 1: y=-2x+4 is already in y=mx+b

We must get equation 2 into this form as well.

Equation 2: -5x+10y=5

Add 5x to both sides:

10y=5x+5

Divide by 10 on both sides:

y=5/10x+5/10

Simplify:

y=1/2x+1/2

Let’s look at the slopes of equations 1 and 2.

Equation 1: m=-2

Equation 2: m=1/2

Notice that 1/2 is the negative reciprocal of -2, since -(-1/2)=1/2

Therefore, the lines are perpendicular

Related Questions

what is 5+21 and 54+1

Answers

Answer:

26 and 55

Step-by-step explanation:

Answer: 5+21 = 26 and 54+1=55

Step-by-step explanation: You add 21 + 5, to get 26. same for the other.

Please help me out :D

Answers

Answer:

384 cubic inches

Step-by-step explanation:

For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.

We are given length = 12 inches

We are given width = 8 inches

We are given tall(height) = 4 inches

So let's Calculate the volume.

Volume = Length * Width * Height

Volume = 12 inches * 8 inches * 4 inches

Volume = 384 cubic inches

Hence, the volume of the box is 384 cubic inches.

Cheers.

The profits of two different manufacturing plants can be modeled as shown. Where x is the number of units produced at each plant.

Plant 1 : P1 (x) = -0.03x^2 + 25x - 1500

Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700

Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation

Answers

the answer to this is 600

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

write an equation for the number 40 is 5 times as many as 8 please hurry

Answers

Answer:

5x8=40

Step-by-step explanation:

Can someone please help my son on his work he broke both of his arms in a car crash please

Answers

Answer:

https://brainly.com/question/23106827?answeringSource=feedPublic%2FhomePage%2F4

Step-by-step explanation:

25a9 ÷5a
??????????????????????????

Answers

Answer:

[tex]5a^8[/tex]

Step-by-step explanation:

[tex]\frac{25a^9}{5a}[/tex]

[tex]=5a^8[/tex]

what is equivalent to 5,710,900 in scientific notation

Answers

The correct answer is: 5.7109x10^6

Help needed!

The photo attached is the question :)

Answers

Answer:

x = 90°

Step-by-step explanation:

This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.

5-3x=2
What is x equals to?
Explain too please.

Answers

Answer:

x=1

Explanation:

-3x+5=2 subtract 5 on both sides to get -3x=-3 divide -3 from -3 to get 1

Which of these four sets of side lengths will form a right triangle?

Answers

where is the photo ?

A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard would be able to eat the entire population. The equation is 7x = 3x + 4.

Explain to the biologist how she can solve this on a graph using a system of equations.

Answers

Answer:

(-1.307, 0.079), (1, 7)

Step-by-step explanation:

Given equation:

7ˣ = 3x + 4

To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:

y = 7ˣy = 3x + 4

As per graph, the solution is:

(-1.307, 0.079), (1, 7)
7^x=3x+4

Break into two parts

y=3x+4y=7^x

Now graph and find the solution

use long division to rewrite the following expression. write your answer in the format of q(x) + r(x) / b(x)
/|\
|
(that's a fraction)

Answers

Hello!

Here we are given a long division question.

The first thing I would do is see how many times the term of the highest degree in the divisor could go into the term of the highest degree in the dividend, which would be 3.

Then, we could already see that the divisor's degree would be higher than that of the dividend, so the rest would go in the remainder over the divisor.

[tex]\frac{18x^2+5x+5}{6x^2-4x+1}[/tex]

[tex]3+\frac{17x+2}{6x^2-4x+1}[/tex]

Hope this helps!

Answer:

This is it trust me

Step-by-step explanation:

I just took it and got a 100

(C) A bakery sells 9 types of sandwiches. Here are their calorie amounts: 562.568. 590. 599. 611.621. 623. 641, 938. Which measure should be used to summarize the data? A-Mean B-Median C-Mode​

Answers

Answer:

611

Step-by-step explanation:

The mean is 632.9 which is a lot higher than 611, and is actually higher than the penultimate value 632, and if presented as a general single value, it may mislead customers into thinking that the sandwiches have a high calorific value. We don’t know how many sandwiches of different types there are, and there may only be a few with high values. So I would use the median 611 as a typical value for the number of calories.

i really need help asap!!

Answers

Given:

A figure of a parallelogram.

The vertex angles are [tex](12b+8)^\circ,(5b+2)^\circ,2a^\circ[/tex].

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

[tex](12b+8)^\circ+(5b+2)^\circ=180^\circ[/tex]       (Supplementary angles)

[tex](17b+10)^\circ=180^\circ[/tex]

[tex]17b+10=180[/tex]

Subtract 10 from both sides.

[tex]17b=180-10[/tex]

[tex]17b=170[/tex]

Divide both sides by 17.

[tex]b=\dfrac{170}{17}[/tex]

[tex]b=10[/tex]

Now,

[tex](5b+2)^\circ=(5(10)+2)^\circ[/tex]

[tex](5b+2)^\circ=(50+2)^\circ[/tex]

[tex](5b+2)^\circ=52^\circ[/tex]

And,

[tex](5b+2)^\circ+2a^\circ=180^\circ[/tex]       (Supplementary angles)

[tex]52^\circ+2a^\circ=180^\circ[/tex]

[tex]2a^\circ=180^\circ-52^\circ[/tex]

[tex]2a^\circ=128^\circ[/tex]

Divide both sides by 2.

[tex]a^\circ=\dfrac{128^\circ}{2}[/tex]

[tex]a^\circ=64^\circ[/tex]

[tex]a=64[/tex]

Therefore, the value of a is 64 and the value of b is 10.

Please help, i will give each 10 points if it’s correct :)

Answers

Answer:

1080

Step-by-step explanation:

Answer:

90 Cubic Inches

Step-by-step explanation:

I believe that the answer is 90 because Volume is calculated by doing Length x Width x Height (X is Multiplication) so if you multiply 10 x 6 x 1.5 which would end up with the end result of 90. If you find any fault in my answer please let me know. Thanks. Have a good day!

the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min

Answers

Answer:

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) [tex]\frac{3\cdot x + 5}{x+2}[/tex] Given

2) [tex]\frac{(3\cdot x + 5) + 0}{x + 2}[/tex] Modulative property

3) [tex]\frac{(3\cdot x +5) + [1+(-1)]}{x+2}[/tex] Existence of additive inverse/Associative property

4) [tex]\frac{(3\cdot x + 6)+(-1)}{x+2}[/tex] Definition of addition/Commutative and associative properties

5) [tex]\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)[/tex]   [tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]/ [tex]\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}[/tex]/Distributive property

6) [tex]3 -\frac{1}{x+2}[/tex] Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].

12 + 1 1/3 = ___?

answer is supposed to be a mixed number??

thank you for helping

Answers

I’m pretty sure it’s 15 2/3

I NEED HELP ASAP!!!
**Ignore the theorem portion above. Answer the angle measure questions, rounding all answers to the nearest tenth***

Answers

Answer:

SVU = 90

TUV = 65

Step-by-step explanation:

Answer:

sorry if it's messy, I tried my best even though I'm not sure for ST.

Express the following ratio as a fraction in simplest form.
$32 for 10 tickets

Answers

Answer:

$16/5tickets

Step-by-step explanation:

it be in simplest form mate.

the radius of a circular musical drum is 70 centimeters. find its area (PLEASE DO NOT PUT ANY UNNECESSARY LINKS)

Answers

Answer:

439.6

Step-by-step explanation:

r times 2 (Because 70 is half of the...)=140 times pie or just round it to 3.14

So= 70 times 2 times 3.14

Plz help me out it would be a life time

Answers

Answer:

a= 3 w- 1

Step-by-step explanation:

Answer:

A=12[tex]u^{2}[/tex]

Step-by-step explanation:

A=bh/2

A=(4)(6)/2

yesh plesse help me eith this im dyinggg

Answers

hello, the answer to your question is 50.26 units!

Helpp! Pls. I am desperate i will mark brainliest

Answers

C) x > 3

It’s the only choice that is absolute, the others are only possible but not be true.

Use 3. 14 as an approximation for pie.

Which is the circumference of a plate with a radius of 5 cm?

Answers

Answer:

D

Step-by-step explanation:

please help, i will give brainliest

Answers

Answer:

13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices

Step-by-step explanation:

An IceBerg has 1/9 of its volume above the water. If an IceBerg has 360 cubic meters below the water, how many cubic meters are above the water.

Answers

hello

i think so...

hope it helps

have a nice day

............... help me please i don’t understand this

Answers

Answer:

x = 11

Step-by-step explanation:

Item 5
How many meters are in 8 kilometers?

80 meters

800 meters

8,000 meters

80,000 meters

Answers

8,000 meters in 8 kilometers

Due soon helppp no links pls

Answers

area is 9 and the and the circumstances and 19

Answer:

A = 28.26

C = 18.84

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi r[/tex]

A = 3.14 x 3 x 3 = 28.26

C = 2 x 3.14 x 3 = 18.84

Let me know if this helps!

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that z varies jointly with x and y. When x = 2, y =2 and z = 7
3) Write the equation that models the relationship
4) Find 7 when x - 4 and y 8

Answers

OMGG I UQVE TGE SAME QUESTION!! I haven’t find the answer yet..
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