4.
3. Consider the line
2x + 5y = -10. What is the
slope of the line parallel to this line?

Answers

Answer 1

Answer:

The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts

To find the slope of the line from the equation of the line, then put the equation in the form y = m x + b, where

m is the slopeb is the y-intercept

Let us solve the question

∵ The equation of a line is 2x + 5y = -10

→ Put the equation in the form above

→ Subtract x from both sides to move 2x from the left side to the

   right side

∴ 2x - 2x + 5y = -10 - 2x

∴ 5y = -10x - 2x

→ Make the coefficient of y equal 1 by dividing all terms by 5

∵ [tex]\frac{5y}{5}=-\frac{10}{5}-\frac{2x}{5}[/tex]

y = -2 - [tex]\frac{2}{5}x[/tex]

→ Compare it by the form of the equation above

∴ m = [tex]-\frac{2}{5}[/tex]

∴ The slope of the given line is [tex]-\frac{2}{5}[/tex]

→ We need the slope of the line which is parallel to the given line

∵ Parallel lines have the same slopes

The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]


Related Questions

Tickets for a concert are $8 for children and $12 for adults. How many child tickets and adult tickets can be purchased for a total cost of $100?

Answers

Answer:

5 Adults Tickets5 Child Tickets

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

runners on different lanes on oval races trake have different starting marks. why?

Answers

Answer:

So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.

Let me know if you need more explaining, the picture might help.

WHOEVER RESPONDS FIRST WILL GET MARKED BEST! ( look at the picture )
Of the marbles in a bag, 5 are blue, 5 are red, and 3 are green. Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b.

Answers

Answer: 3/15 i beleve :()

Answer:

5/13

Step-by-step explanation:

Given :-

5 blue marbles

5 red marbles

3 green marbles

To Find :-

P (blue marble)

Solving :-

P (blue) = No. of blue marbles / Total marbles

= 5 / 13

Solution :-

5/13

How many 1/4 gram doses can be obtained from a 7 1/2 gram vial of medication?

Answers

Answer:

30 gram doses

Step-by-step explanation:

First, turn the fractions into decimals.

1/4 gram to .25 gram

7 1/2 gram to 7.5 gram

Then, divide 7.5 total grams by the .25 grams for each dose.

7.5/.25 = 30

Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.

Given:

Weight of the vial = [tex]7\frac{1}{2}[/tex] grams

Weight of one dose = [tex]\frac{1}{4}[/tex] gram

To Find:

Number of doses in one vial.

Solution:

Let the number of doses in a vial = n

Therefore, weight of 'n' doses = [tex]n\times \frac{1}{4}[/tex]

                                                  = [tex]\frac{n}{4}[/tex] grams

Since, the weight of the n doses is equal to the weight of one vial,

[tex]\frac{n}{4}=7\frac{1}{2}[/tex]

[tex]\frac{n}{4}=\frac{15}{2}[/tex]

[tex]n=\frac{15\times 4}{2}[/tex]

[tex]n=30[/tex] doses

Therefore, 30 doses can be obtained from one vial of medication.

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explain the types of angle like angle at a point supplementary angle pls . donot steal my point ​

Answers

Answer:

A supplementary angle is an angle that forms 180°. To put into simpler words, it's the angle that makes a straight line.

A complementary angle is an angle that makes a 90° angle or a right angle.

An acute angle is an angle that is less than 90°.

An obtuse angle is an angle that is between 90 & 180 degrees.

A reflex is one that makes a 270° angle.

And finally you have a full/complete angle which makes a 360° angle

At East College, 7776 students are in the freshman class, 6750 are sophomores, 6750 are juniors, and the rest are seniors. About 18% of students in each class are in the performing arts. If there are 27,000 undergraduates at the school, how many are seniors?

Answers

Answer

5724

Step-by-step explanation:

7776+6750+6750

=21276

27000

-21276

=5724

A car dealership reported a five-number summary for the selling prices of the last 28 new cars and the last 28 used cars sold. Which of the following are true? (Remember "can" does not imply that it is the car you "want" to buy.") You can buy a used car for less than a new car. Half the used cars sold for no more than any new car. A quarter of the used cars sold for more than a quarter of the new cars. Half of the new cars sold for more than any used car. A fourth of the new cars sold for more than any used car. The range of prices in used cars is more than the range in prices of new cars.

Answers

Answer:

East or west back benchers are best

Find the area of the trapezoid.
9.5 cm
5 cm
13.5 cm

Answers

Answer:

if one base is 9.5 cm and the other is 13.5 cm. The height is 5 cm.

the answer is 57.5

Step-by-step explanation:

Area= base1+base2/2*h

Area= 9.5 + 13.5 / 2 * 5

Area= 23/2 *5
Area = 11.5 *5

Area = 57.5

SELECT 3 OPTIONS:




Positive slope

Decreasing function

Constant slope

Negative slope

Increasing function

Answers

It’s a positive slope, constant slope, and increasing function. Because it’s a straight line going diagonally to the top right, you know the slope is positive, constant, and the function is positive.

5÷6 is 56. What is 16 of 5?

A. 5/6
B. 6/5
C. 1+1/5
D. 1/5 of 6

Answers

It is the answer b 6/5

i need help with the first one

Answers

Answer:

Relative minimum:

(1, - 9)

Answer:

relative minimum

(1,- 9)

What is 0.375 in words?

Answers

Three hundred and seventy- five thousandths

Answer:

0.375 in words is three hundred seventy-five thousandths.

Step-by-step explanation:

There are 3 numbers after the decimal place, which is in the "thousandths" value.

Name and discuss two way in which a student can pay for his or her studies if their parents can't afford it?​

Answers

Answer:

They can get a fast food job if they are age 14 depending on state.They can mow neighbor's lawns or plow snow for money.Hope this helps!If so, give thanks!

Help please!!! Thank you!!!

Answers

I hope these are correct

What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?

Consumers math B

Answers

Answer:

median income for the man with advanced degree

Step-by-step explanation:

What is the hourly difference in median income for a male versus female with an associate’s degree, occupational program?

Type an equation for the
following pattern.
X
у
1
21/2
2.
9
[?]
•xt
y =
3
15/2
4
6
5
9/2
Enter the number that belongs in the green box. Make sure
the fraction is in simplest form.

Answers

y=-21/2x+1 Since y is your independent variable it remains by itself

Can anyone help me on this?

Answers

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

Help me pleaseeeee !!!!!!!!

Answers

Answer:

Step-by-step explanation:

13). K( - 5 , - 2 ) ----> ( - 5 - 6 , - 2 - 2 ) = K'( - 11 , - 4 )

14). Rule of the reflection in the y-axis is ( x , y ) -----> ( - x , y )

L( 1 , - 3 ) -----> L'( - 1 , - 3 )

15). Rule of the 90° Counterclockwise rotation is ( x , y ) -----> ( - y , x )

Z( - 7 , 2 ) ----> Z'( - 2 , - 7 )

16). Rule of the dilation by the scale "k" is ( x , y ) ----> ( kx , ky )

F( - 4 , 6 ) ----> ( - 4*1.5 , 6*1.5 ) = F'( - 6 , 9 )

17). Rule of the reflection in the x-axis and the dilation by the scale "k" is

( x , y ) -----> ( kx , - ky )

X( - 3 , 9 ) -----> ( - 3*(1/3) , - 9*(1/3) ) = X'( - 1 , - 3 )

In the equation 0.44 x 0.72 = n, what is the value of n?

Answers

Answer:n=0.3168

Step-by-step explanation:

Answer:

n = .3168

Step-by-step explanation:

Multiply .44 by .72.

You can use a calculator to do this or do it by hand.

If you choose to do it by hand, multiply using long multiplication without paying mind to the decimals, and then when you are finished, add the decimal four places to the left (at the very beginning of the number you should get). So, 3168 becomes .3168, or your final answer.

Sorry, I cannot really show all the steps of the multiplication itself on a computer but I hoped this helps :)

why does the car turn right to leave me alone

Answers

Answer:

The car turns right because the person driving hit the right blinkers and wants to go right.

Step-by-step explanation:

common sense

The car turns right because the person who’s driving the car wants to make a right turn

help please. its homework​

Answers

Answer:

Right

Step-by-step explanation:

Answer:

Right-angle

Step-by-step explanation:

When a triangle has one angle = 90 degree it is called an right angle triangle

please help me I cannot do this !

Answers

Answer:

40 cm²

Step-by-step explanation:

the figure is made up of 1 square and 4 congruent triangles

area of the square (side x side)

4 * 4 = 16 cm²

area triangle (b x h) :2

(4 * 3) : 2 =

12 : 2 = 6 cm²

now we add the area of ​​the square with the area of ​​the 4 congruent triangles

16 + 6 + 6 + 6 + 6 =

40 cm²

The area is 40 cm2.Have a nice day bye.

Help anyone??? Tysm

Answers

Answer:

1st option (mean: 38; median: 35)

Step-by-step explanation:

Mean is average. Add all values together and divide by amount of values (190/5 = 38). Median is the value that separates the higher half and the lower half from the set of numbers (25 35 35 45 50; 35 separates).

4. The area of a rectangular vegetable garden is (12u2 - 8u - 15)m?
Which of the following are the expressions to determine the
dimensions?
A. L = (3u-5)m; W = (4u + 3)m
B. L= (bu + 5)m; W = (2-3)m
C. L = (6u - 3)m; W = (2u - 5)m
D. L = (12u - 15)m; W = (u + 1)m


plsss answerre huhu helppp​

Answers

Answer:

L = (6u + 5)m ; W = (2u-3)m

Step-by-step explanation:

Given;

Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²

Let the length of the rectangular vegetable garden = L

Let the width of the rectangular vegetable garden = W

A = L x W

Factorize the given area;

= 12u² - 8u - 15

= 12u² -18u + 10u - 15

= 6u(2u - 3) + 5(2u - 3)

= (6u + 5)(2u-3)

Thus, L = (6u + 5)m     and     W = (2u-3)m

Option B, is the right solution, although it was wrongly typed.

Suppose you take a random sample of 30 students who are using a new math text and a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students at the end of the course. Based on state test performance, would you recommend the new math book?

Answers

Answer:

a second sample of 30 students who are using a more traditional text. You compare student achievement on the state test given to all students

Step-by-step explanation:

Find the present value of $ 3,000 at a simple interest rate of 6 % in 9 years ?

Answers

Answer:

Is it anual intrest rate? if so then it would be 1620$ inrest rate  and if it was 6% in 9 years it would be 180$ interest rate

Step-by-step explanation:

Answer:

using the simple interest rate Formula, I = prt.

given 3,000 as the principle,

6% as the rate, and 9 years as the time

I = (3000)(6%)(9)

I = (27000)(6%)

I = (27000)(0.06)

I = 1620$

Present value = I + p

present value = 1620$ + 3000$

present value = 4620$

Identify the symbol which denotes the symmetric difference of sets.
-
Δ

| |
figure it out

Answers

Answer:

Δ

Step-by-step explanation:

If A and B are two sets, then the symmetric difference of A and B is denoted by A Δ B

whats 5/6 x 2/9 in simplest form

Answers

Answer:

5/27

Step-by-step explanation:

This is the fraction form I believe, correct me if I'm wrong


Finding the original price given the sale price and percent...
At a sale this week, a sofa is being sold for $234. This is a 28% discount from the original price.
What is the original price

Answers

Answer:

$325

Step-by-step explanation

78% is 234

x is 100%

cross multiply

[tex]\frac{234}{72}[/tex] = [tex]\frac{x}{100}[/tex]

234 × 100 = 72x

23400 = 72x

23400÷72 =72x ÷72

325 = x

The value of the original price of the sofa would be $325.

Used the concept of percentage that is,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

At a sale this week, a sofa is being sold for $234.

And, This is a 28% discount from the original price.

Let us assume that the original price = x

Hence, the given condition is written as,

[tex]x - (28\% \ \text{of } x) = 234[/tex]

Solve for x,

[tex]x - (0.28 x) = 234[/tex]

[tex]0.72x = 234\\[/tex]

Divide both sides by 0.72,

[tex]x = \dfrac{234}{0.72}[/tex]

Therefore, the original price would be,

[tex]x = \$325[/tex]

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What is the radius of the circle in the xy-plane that
has center (1,5) and contains the point (4,9)?

Answers

[tex] \huge \qquad \sf \underline{\boxed{ {☘ \sf Sσlutiσn}}}[/tex]

The distance between the centre and any point satisfying the circle is its radius ~

Hence, the distance between the points is equal to length of radius.

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(4 - 1) {}^{2} + (9 - 5) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{(3) {}^{2} + (4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{9 + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = \sqrt{25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r = 5[/tex]

As we know, equation of a circle is :

[tex] \qquad \sf(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

where,

h = x - coordinate of centre

k = y - coordinate of centre

r = radius of the circle

Hence, equation of our required clrcle is :

[tex] \qquad \sf(x -1 ) {}^{2} + (y - 5) {}^{2} = {5}^{2} [/tex]

The radius of the circle that has center (1,5) and contains the point (4,9)  is 5 units

How to determine the radius of the circle?

The center of the circle is given as:

Center (a,b) = (1,5)

The point on the circle is given as:

Point (x,y) = (4,9)

The radius is calculated using the following distance equation

[tex]r = \sqrt{(x - a)^2 + (y - b)^2}[/tex]

So, we have:

[tex]r = \sqrt{(4 - 1)^2 + (9 - 5)^2}[/tex]

Evaluate the exponents

[tex]r = \sqrt{25}[/tex]

Take the square root of 5

r = 5

Hence, the radius of the circle is 5 units

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