Which variable would be easier to eliminate?
- 4x - 9y= - 10
4x + 2y = 24
Оy
neither
Ох

Answers

Answer 1

It's easier to eliminate x because when you add both equations -4x +4x would be zero

Answer 2
The easier variable to eliminate is x. Because -4x+4x will be equal to 0 .
After eliminating , the equation now is -9y=-10
and 2y=24
Thus, add the equation up combine like terms. Which now is -7y=14
y=-2

•since y=-2 , now find the x value just substitute y into one of the original equation, let’s substitute to -4x-9(-2)=-10
Solve: -4x+18=-10
Subtract 18 on both side, now : -4x=-28
Divide both side by -4 and x=7
So (x,y) = (7, -2) respectively

Related Questions

What are the slopes of the perpendicular lines?

1: y=-5/2x-8
2: y=5x
3: y=3x-8

Answers

Answer:

1. 2/5

2. -1/5

3. -1/3

Step-by-step explanation:

the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign

-5/2  --->    2/5

+5/1  --->    -1/5

+3/1  --->    -1/3

Answer:
1. 2/5
2. -1/5
3. -1/3

Explanation:
There are two key concepts that we have to understand in order to answer this question:

1) The given equations are organized in slope-intercept form: y=mx+b. Here’s what the variables mean:

Y= the y coordinate
M=the slope
X= the coordinate
B= the y intercept

From the given equations we can now identify the slopes as -5/2, 5 and 3.

2) Perpendicular lines have slopes that are NEGATIVE RECIPROCALS of each other.

Example: Line A has the slope 8. A line that is perpendicular to line A would have a slope of -1/8.

Example #2: Line B has the slope -2/3. A line that is perpendicular to line B would have a slope of 3/2 (two negatives make a positive).

Now that we understand these two concepts, we need to look at the slopes of the given lines and determine their negative reciprocals to find the slopes of their perpendicular lines.

1. y=-5/2x-8
We can see that -5/2 is in the place of “m” in y=mx+b. The negative reciprocal of -5/2 is 2/5, so therefore, the slope of the line perpendicular to y=-5/2x-8 is 2/5.

2. y=5x
There is no “b” value in this equation, but we can still identify 5 as “m”. The negative reciprocal of 5 is -1/5, so therefore, the slope of the line perpendicular to y=5c is -1/5.

3. y=3x-8
The negative reciprocal of 3 is -1/3, so therefore, the slope of the line perpendicular to line y=3x-8 is -1/3.

I hope this helps! Please comment if you have any questions.

If 12 roses cost 30.4 how much will 18 roses cost?

Answers

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Rosita is making pizzas for a party. Each pizza requires 1 cups of sauce and 1 cups
of cheese. How many whole pizzas can Rosita make if she only has 8 cups of sauce
and 132 cups of cheese?

Answers

Answer:

8 pizzas

Step-by-step explanation:

I cAn Do mAtH!!

Answer:

She can only make 8 pizzas.

Step-by-step explanation:

She only needs 1 cup of sauce and 1 cup of cheese. She has 8 cups of sauce, so she can only make 8 pizzas. What can she do with all the cheese in her refrigerator? Hmmmmm...

An airplane is flying overhead at a constant elevation of 4090 ft. A person is viewing the plane from a position 3010 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 700 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower

Answers

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Subtract the equation
-7 - 12 =

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Solve the following step by step

Answers

Answer:

12

by-step explanation:

Multiply both sides by 3. 9x + 21 = 2x + 13
Take away 2x from both sides to get 7x + 21 = 13
Take away 21 from both sides to get 7x = 8
Now divide both sides by 7.
X must be 1 1/7

Read the blog entry below and answer the question that follows:

At first I dreaded going to sixth grade camp. I was sure the food would be poisonous, I would freeze to death in my sleeping bag, and the other kids in my cabin would never talk to me. But was I wrong! In fact, it was the best week ever! I went horseback riding and participated in a ropes activity with a zip line course. After the course, I climbed to the top of a pole using only ropes and carabiner clips, and then I rappelled off the top. I even made a new best friend. Oh, by the way, the food was delicious. It tasted better than my mom's! (But don't tell her.)

Review the first sentence:

At first I dreaded going to sixth grade camp.

What is the connotation showing here?

A The author was impatient and could not wait to get to camp.
B The author was worried he/she might not enjoy camp.
C The author welcomed the opportunity to go to camp.
D The author was excited about going to camp.

Answers

The answer might be B

Graph the line y=-1/3x+3

Answers

nah i’m is not brown in the most popular vote white vote in the senate vote white vote vote white voters vote white vote vote white voters vote vote white ballots in a vote vote white vote vote white voters

Which measurement statement is correct?

Answers

Answer:

What do you need help with?

Maria incorrectly placed the decimal
point when she wrote 0.65 inch for the
width of her tablet computer. What is the
correct decimal number for the width?

Answers

Answer: 6.5 inches

Step-by-step explanation:

this measurement makes the most sense for the width of a tablet computer

If we double the sum of the numbers x and -21, we get the number -100. What is x?​

Answers

Step-by-step explanation:

2{x + (-21) }= –100

= 2x – 42 = –100

= 2x= –100 + 42

= 2x= –58

= x = –58/2

x= –29

What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?


A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Answers

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

[tex]x = -12[/tex], and[tex]y = -4[/tex].

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?

Answers

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Answers

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

-5 is a rational number and an integer yes or no

Answers

Answer:

Yes

Step-by-step explanation:

Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers

find x (x+y) 30 24 2x​

Answers

Answer:

vfvgyfygj

Step-by-step explanation:

gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah

WILL MARK BRAINLIEST
Match the graph to one of the exponential functions.


ƒ(x) = 2 – 2x

ƒ(x) = 2x – 2

ƒ(x) = 2x + 2

ƒ(x) = 2x – 2

Answers

answer: f(x) = 2x + 2

14) What is 50% of 180?
15) What is 25% of 36?
16) What is 100% of 166?
17) What is 150% of 126?
18) What is 10% of 100?
19) What is 200% of 133?
20) What is 25% of 172?

Answers

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

0.16
As a repeating fraction

Answers

Answer:

0.16161616161616161616161616161616161616161616161616

Step-by-step explanation:

just keep adding whats repeating or put a bar on top of the 16

The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

If the quarter note equals one beat, how many beats would this note be worth?

Answers

Answer:

4 beats

Step-by-step explanation:

that is a whole note and 4 quarters are equal to one whole

PLEASE HELP!!! i’ll give brainliest

Answers

Answer:

x = [tex]\sqrt{164[/tex]

Step-by-step explanation:

In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].

What's another way to express the expression [4(17) + 3(25)] x 5?

Answers

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

- 7/8 k = -21
Please show the steps... :(

Answers

Answer:

Your answer is: k = 24

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

-7/8k = -21

Step 1: Multiply both sides by 8/(-7).

(8/-7) x -7/8k = -21 x (8/-7)

Answer= k = 24

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.

How much does it cost to send 12 one-pound boxes by Express Mail?

Answers

294 dollars

Okay so you would take 19.50 and add the 5 dollar insurance giving you 24.50. Then you’d take the 24.50 and multiply it by 12 giving you 294 dollars

Really hope I got that right

Please Solve as Fast as You Can
The coordinates of Point A are (-1, 4). If Point A is reflected across the x-axis AND then across the y-axis, what are the coordinates of Point A now?

Answers

Answer:

(1,-4)

Step-by-step explanation:

If you reflect it over the x it would equal (-1,-4), then if you reflect it over the y it would equal (1,-4)

Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Answers

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.

Answers

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

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