8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).


Related Questions

The sum of 8 and a number is 9

Answers

Answer:

The sum of 8 and 1 is 9.

lol

Step-by-step explanation:

How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent

Answers

Answer:

SAS

Step-by-step explanation:

there are vertical angles in the middle and the sides are already marked

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer : =

Step - by - step explanation :

6 3/6 -- simplest form --> 6 1/2

6 6/12 -- simplest form --> 6 1/2

=
6 3/6 is equal to 6 6/12.

If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?

Answers

Answer:

100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%

Hope This Helps!!!

Answer:

i think probably 3/28 ,that 3 boys will sit together

Minh spent $3.50 on 25 stickers.

How much did each sticker cost?

Answers

Answer:

0.14

Step-by-step explanation:

brainliest please

Each sticker costs 14 cents

Worth 12 points do it soon pls

Answers

Step-by-step explanation:

9+(-5)=4

-8-4=-12

8-(-4)=12

-9+5=-4

Hope this helps, just go connect the equation to the answer that I put.

RULES

If you have a minus and a minus (- -) it is equal to +

If you have Plus and Minus (- +) it is equal to -

The first one when simplified is 9-5=4

The second one Simplified is -8-4=-12

The third one simplified is 8+4=12

The fourth one simplified is -9+5=-4

I hope this helped and that you got the concept. If you have questions, ask me

Ps. If you mark me branliest it would-be very appreciated

-
Which polynomial has a factor of (x - 5)?
A x² + 4x - 5
B x + 5x + 4
C x² – 2x - 15
D 2x + 11x + 5
-

Answers

Answer:

The correct answer is C

x² - 2x -15

Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)​

Answers

1. y=mx+b
y=-1/4x-1

2. y=mx+b
y=3.5/2.5x+4

HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.

A.Translation

B.Rotation about the origin

C.Reflection over the x-axis

D.Reflection over the y-axis

Answers

Answer:

B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.

5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square

that produce a minimum total area.

Answers

The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Represent the side length of the square with s, and the radius of the circle with r.

So, the perimeter (P) and the area (A) of the shape are:

[tex]P =4s + 2\pi r[/tex]

[tex]A =s^2 + \pi r^2[/tex]

The perimeter is 16. So, we have:

[tex]4s + 2\pi r = 16[/tex]

Divide through by 4

[tex]s + 0.5\pi r = 4[/tex]

Make s the subject

[tex]s = 4 - 0.5\pi r[/tex]

Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]

[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]

Expand

[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]

This gives

[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]

Differentiate with respect to r

[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

Set to 0

[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]

Add 4pi to both sides

[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]

Divide both sides by 2

[tex](0.25\pi^2 + \pi )r =2\pi[/tex]

Make r the subject

[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]

Factor out pi

[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]

Cancel out the common factors

[tex]r =\frac{2}{0.25\pi + 1 }[/tex]

Express pi as 3.14

[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]

[tex]r =\frac{2}{1.785}[/tex]

Divide

[tex]r =1.12[/tex]

Recall that:

[tex]s = 4 - 0.5\pi r[/tex]

This gives

[tex]s =4 -0.5 \times \pi \times 1.12[/tex]

This gives

[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]

[tex]s =2.24[/tex]

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Read more about minimum areas at:

https://brainly.com/question/6427280

12 cars in 15 hours how many cars is in 10 hours

Answers

Answer:

8

Step-by-step explanation:

12 cars in 15 hours how many cars is in 10 hours

12 : 15 = x : 10

x = 12 * 10 : 15

x = 8

-------------------

check

12 : 15 = 8 : 10

0.8 = 0.8

the answer is good

A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?

Answers

Answer:

His son is 3 years old.

Step-by-step explanation:

33 years old ... 3 less than ....  =  36

36/12  =  3

Question
Triangle ABC is similar to triangle XYZ. Find side a.
13
39
Y
5
Z
B
Provide your

Answers

Answer:

Step-by-step explanation:

There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.

One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:

13/5 = 39/a

OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:

13/39 = 5/a

Amazingly, these equations will give you the same answer.

13a = 39*5

13a = 195

13a/13 = 195/13

a = 15

You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!

what is the complete factorization of the polynomial below
[tex] {x}^{3} - {2x}^{2} + x - 2[/tex]


[tex]a. (x - 2)(x + i)(x - i)[/tex]
[tex]b.(x + 2)(x - i)(x - i)[/tex]
[tex]c.(x + 2)(x + i)(x - i)[/tex]
[tex]d.(x - 2)(x - i)(x - i)[/tex]

Answers

Answer:

[tex]a. \ (x-2)(x+i)(x-i)[/tex]

Step-by-step explanation:

First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]

[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]

At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]

What is the following simplified product? Assume x 0.
(sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)

Answers

Answer:

c

Step-by-step explanation:

Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.

Multiply each one together:

sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)

sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)

4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)

4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)

Then simplify:

sqrt(54x^2) = 3x sqrt(6x)

x sqrt(30x^7) = -x^4 sqrt(30x)

4 sqrt(72x^4) = 24x^2 sqrt(2)

-4x sqrt(40x^8) = -8x^5 sqrt(10)

Which quantity is proportional to 40/8?

Answers

Answer:

5/1

10/2

15/3

20/4

25/5

30/6

35/7

Step-by-step explanation:

help me please please​

Answers

Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

Ahat costs $25. Tax is 8%. How much is the lax on the hot? O $20 $17 $0 20 $2 NEXT QUESTION ASK TORTILLP​

Answers

Answer:

$2

Step-by-step explanation:

To use a percent you must change it to a decimal.

8% is .08

To find 8% of 25, we use multiplication.

.08 × 25

= 2

In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.

25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.

Find the value of x need help

Answers

Answer:

x = 13

Step-by-step explanation:

180-52=10x-2

130=10x

13=x

Find the projection of u onto v.
- Is the answer on the bottom correct?

Answers

V x U -5 and -1 and subtract 0

Help help help help math math

Answers

Step-by-step explanation:

Relation

Hope it correct!!!

Can you solve this? Please ( 15+ points)

Answers

Answer:

112+24x

Step-by-step explanation:

2(16+(10*4)+(x*12))

solve the inner bracket

2(16+40+12x)

solve this bracket

2(56+12x)

solve this now

112+24x

Answer:

[tex]24x+112[/tex]

Step-by-step explanation:

First of all we will start with the brackets inside the equation,

1. [tex]2[16+40+12x][/tex]

Now we can multiply 2 by all the values inside the parentheses

2. [tex]32+80+24x[/tex]

I just wanted to confirm that the big X is a variable?

Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.

5. How much would d dollars earn in one year at thē rate of p percent compounded annually?

Answers

Answer:

a

Step-by-step explanation:

a

Some help please please

Answers

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.

Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).

[tex]x\sqrt{2}[/tex]

x=8

Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.

Answer:

oh snap i have this question too sorry cant help :(

Step-by-step explanation:

but i can provide with advice bc is the side down and bd is across us this to your advantage

What is the slope

A) 1/3

B) 3

C) 2

Answers

Answer:

3 (B)

Step-by-step explanation:

rise/run

rise=3

run=1

3/1=3

It’s 3,
Because it starts at 1, moves up 3 spaces just give 3.

9490 divided by 5.explain how you got the answer

Answers

Answer:

The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.

The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:

9490 divided by 5, often written as 9490/5.

Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.

A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary

Answers

There are 6 numbers on a standard die and. 5 of the numbers are less than 6.

The probability would be 5/6

On a piece of paper, graph f(x) = 4x. Then determine which answer choice
matches the graph you drew.

Answers

Answer:

The Correct Answer is A

Step-by-step explanation:

You are able to put the equation into Desmos Online Graphing Calculator.

When inserting the equation:

[tex]f(x) = 4 {}^{x} [/tex]

You are able to determine that the graph looks like Graph A

I hope this helps and you have a great day!

Note: I am not a professional so take my opinion with caution!

Answer:c

Step-by-step explanation:

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x-intercept: 4

y-intercept: -4

Step-by-step explanation:

Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!

4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.

Answers

Counterexamples are simply used to disprove conjectures.

(a) Elephants and Giraffes

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

There are sometimes more elephants in a zoo than giraffes

The word "sometimes" disproves the original conjecture

(b) The oldest leatherback sea turtle

This conjecture is not true.

This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.

So, the conjecture can be disproved by the following counterexample

The oldest leatherback sea turtle in captivity is 400 years old.

(c) American bison

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

American bison are sometimes over 6 feet tall

The word "sometimes" disproves the original conjecture

Read more about conjectures and counterexamples at:

https://brainly.com/question/1619980

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