X - y = -2 7x + 2y = -5

Élimination method

X - Y = -2 7x + 2y = -5limination Method

Answers

Answer 1

Answer:

x = -1, y = 1

Step-by-step explanation:

Multiply the top equation by 2:

[tex]2x - 2y = - 4[/tex]

Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:

[tex]9x = - 9[/tex]

Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.

[tex]x = - 1[/tex]

[tex]7( - 1) + 2y = - 5[/tex]

[tex] - 7 + 2y = - 5[/tex]

[tex]2y = 2[/tex]

[tex]y = 1[/tex]


Related Questions

Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v – 3h) units2 startfraction v over 3 h endfraction units2

Answers

The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²

What is a right rectangular pyramid?

A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.

How to find the volume and base's area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

Thus, we can express the area of its base in terms of its volume as:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]


Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²

Learn more about right rectangular prism here:

https://brainly.com/question/3712320

Answer:

3V/h units^2

Step-by-step explanation:

Help!

1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Use ​≈3.14 and round your answer to the nearest whole number.
2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Use ​≈3.14 and round your answer to the nearest whole number.
3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
____ times the volume of the cone.

Answers

The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.

What is the volume of a cone and cylinder?

The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.

Mathematically, the volume of a cone can be expressed as:

[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]

where;

radius = 2.5 inchesheight = 9 inches

[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]

[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]

[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]

The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:

V = πr²h

V = π(2.5)² × 9

V = 3.14 × (2.5)² × 9

V = 176.625 inches³

The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]

=  3

Learn more about the volume of cone and cylinder here:

https://brainly.com/question/1310192

-. Find the missing part that will make the equation a perfect square
U2 + 34u +

Answers

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

Please help it’s due soon

Answers

Answer:

D)  30

Step-by-step explanation:

AB is the diameter of the circle

AB = AE + EB

     = 25 + 9

     = 34

OB, OC and OD are all the radius of the circle.

Radius = half the diameter

Therefore, OB = OC = OD = 34 ÷ 2 = 17

ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE

OE = OB - 9

     = 17 - 9

     = 8

Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]

(where a is one of the congruent side lengths and h is the height)

[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]

[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]

[tex]\implies CD=30[/tex]

The kite below is formed by four right triangles. If AB= 3, DE= 12, and AB = BC = DB, what is the area of the kite?

Answers

Answer:

50.46???

Step-by-step explanation: im bad at  this so if it help ima be proud nut uhhh i tryed ...

Draw the graph of the equation x+5y=6

Answers

Answer:

Step-by-step explanation:

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one ninety degree angle. Two sides are the same length.

Answers

Isosceles triangle!!!

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

I Need help asap!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer of how many cars is 23

The answer would equal to 23 cars rented

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

)) What is the area of this figure?
5 mm
7 mm
6 mm
9 mm
7 mm
16 mm
3 mm
10 mm
)) Write your answer using decimals, if necessary.
1))
square millimeters

Answers

there’s no figure ……

x^2-8x+16=3 solve using square roots

Answers

Answer:

x = 4 ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x + 16 = 3 ← the left side is a perfect square

(x - 4)² = 3 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{3}[/tex]

credit card cash advance
borrow: $300
rate: 18% per year
time: 6 months-,5
300
6

Answers

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

Total $327.

If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.

PLEASE HELP!! I'LL GIVE YOU BRAINLIEST

What is the value of x in the figure?


Enter your answer in the box.


x =

Answers

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

NEED HELP ASAP! WILL GIVE BRAINLIEST!!


1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?

1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1. A and C
2. D and B
3. A and B
4. C and D

Answers

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

It the C and D I promise you it’s correct.

Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in

Answers

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

183 in² = Area of shaded region

Making late payments on credit card bills has what kind of effect on a person's credit score?

a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.

Answers

Answer:

A. Late payments have a negative effect on a person's credit score.

Step-by-step explanation:

Hope this Helps!

Answer:

A late payments have a negative effect on a persons credit score

Step-by-step explanation:

A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.

I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!

Answers

2Answer:

a. 68%

b. 95%

c. 2.35%

Step-by-step explanation:

empirical rule is the

68–95–99.7 rule

a. 68%

b. 95%

c. 99.7 - 95 = 4.7 then 4.7/2 =

2.35%

A gift box in the shape of a
rectangular prism has a base area
of 56 square inches and a height of
4 inches. What is the volume of the
box in cubic inches?

F) 224
G) 448
H) 896
J) 12,544

Answers

I think it’s 224 but i’m not quite sure
56 * 4 = 224

So the volume is F (224 inches)

I need help with this
Conclusion
And discussion
It’s a science assignments

Answers

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

Use the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.

4.17 is equivalent to 4.17 × 100.

4.17 is equivalent to 4.17 × 101.

The product has a positive exponent.

The coefficient is 6.

The E in the product is the indicator that the solution is in scientific notation.

The exponent of the product is the product of the original exponents.
PLSSS HELP

Answers

Answer:

I'm assuming that "106" is really 10^6

Step-by-step explanation:

4.17 is equivalent to 4.17 × 100.  NO  4.17 x 100 = 417

[If this is really 4.17 is equivalent to 4.17 × 10^0.  Then YES.  10^0 = 1]

4.17 is equivalent to 4.17 × 101.   NO  4.17 x 101 = 421.17

Again, if this is 10^1, then no.  10^1 = 10

The product has a positive exponent.   YES  

The coefficient is 6.

Coefficient?  NO.  Exponent?  Then YES

The E in the product is the indicator that the solution is in scientific notation.  YES  4.17E6 is 4.17 x 10^6

The exponent of the product is the product of the original exponents.

NO.  In multiplication, the exponents are added (as long as they have the same base)

A)4.17 is equivalent to 4.17 × 100.B)The product has a positive exponent.C)The E in the product is the indicator that the solution is in scientific notation.

EDGE 2022

what is the difference in the length between the longest meter in the shortest meter​

Answers

Answer:

1 5/8 inches

Step-by-step explanation:

Hey there!

The question is asking what the difference in the length between the longest meteor and the shortest meteor is.

In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values

we can convert 1 7/8 to 15/8 to make the subtraction more simple

15/8-2/8=13/8 which is 1 5/8

So the difference between the longest and shortest meteor is 1 5/8 inch

Answer: 1 5/8.

Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8.  Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem.  The work is done below:

1 7/8 - 2/8 = 1 5/8.

Hope this helps! :)

so

x+y=24
x=2y

I need step by step ple

Answers

Answer:

y = 8x = 16

Explanation:

x + y = 24x = 2(y)

solve, insert equation 2 into 1

2(y) + y = 243(y) = 24y = 8

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

x + y = 24x = 2y

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

A person invests 7000 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 12400 dollars?

Answers

This might be the answer. Hope it helps..

The sum of the squares of the odd integers between 0 and 100.

Using summation notation

Answers

Answer:

166,649.

Step-by-step explanation:

49

∑ (2n + 1)^2 =    4∑n^2 + 4∑n + 49

0

=  (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49

=  2/3 * 49* 50 *99 + 2*49*50 + 49

= 161700 + 4900 + 49

= 166649

Can someone help me please, its for plato algebra 2-1

Answers

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

Please help me with this please and thank you

Answers

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

What is the value of x^2+y^2 given the following system?
x+y=10
x-y=8

Answers

Answer:

I hope this helps, you can ask any questions for clarification

Does someone know how to do this? I only have a few hours before I have to turn this in

Answers

Answer:

Check out the attached photo it might help

I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the first step is to
A. guess the correct answer and then check to see if you are correct.
B. write the facts, organize your thoughts and then define your strategy.
C. identify what you need to do to solve the problem.
D. read the problem carefully and find the question.

Answers

Answer:

D read the problem carefully and find the question. :)

Have an amazing day!!

Please rate and mark brainliest!!

option C and D (C is actually)

So steps are

First read the story problem completelyThen find out what do you need to solve and what else you have givenThen solve that out

can somebody please tell me the awnser

Answers

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

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