Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.

Answers

Answer 1

Answer:

They intersect at one point

Step-by-step explanation:

I took the test and got 100%

Answer 2

Answer:

They have to intersect at one point

Step-by-step explanation:


Related Questions

Please help due in a hour!!

Answers

Answer:

f(x)=1/2(x-4)^2+2

Please help me I will really appreciate it!!!

Answers

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Find the slope of the line through
3) (-1, 17). (6, 12)

Answers

slope = 0.75 or -5/7

What is 2M?
M=[3 5]
[-4 0]

Answers

Answer:

2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Step-by-step explanation:

Given the matrix

[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]

Multiplying by 2 will basically be a scalar multiplication.

Therefore, multiply each of the matrix elements by a scalar.

[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]

        [tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Hence, 2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?

Answers

Answer:

24 individuals

Step-by-step explanation:

Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...

($480 - $120) / $15 = x

$360 / $15 = x

24 = x

Finally, we can see that a total number of 24 individuals attended the party

1. A local pizzeria sold 65 pizzas yesterday.

(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.

(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Answer:

Answers

Part 1

Pizzas sold last day = 65

Increasement needed in sale = 20%

pIzzas to be sold today

= 65 + 20% of 65

= 65 + 20/100 × 65

= 65 + 1/5 × 65

= 65 + 1/1 × 13

= 65 + 13

= 78

Part 2

Pizzas sold last day = 65

Pizzas sold today = 60

60 = 65 + x% of 65

60 = 65 + x/100 × 65

60 - 65 = x/20 × 13

- 5 = x/20 × 13

-5/13 = x/20

-5/13 × 20 = x

-7.692 = x

Therefore, there was a decrease in pizza sale by 7.692%

By rounding off,

The decrease in pizza sale was by 7.700%.

= 7.7%

The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?

Answers

Answer:

2cm

Step-by-step explanation:

Step one:

given data

for the large cube

the volume= 125cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

125=l^3

l=∛125

l=5cm

Step two:

given data

for the large cube

the volume= 27cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

27=l^3

l=∛27

l=3cm

The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cm

Can a right triangle have sides of 12, 16, and 20?

Answers

No. All triangles must have a total of 180 degrees. If a triangle had two small angles (smaller than 90) the last angle must be larger than 90 and adds up to be 180 in total.

Please answer...
Tracy has $35 to buy comic books and to pay for a single movie ticket. It costs $3 per comic book. The movie ticket costs $10. Which inequality can be used to determine how many comic books, b, Tracy can buy?
A: 3b + 10 >= 35
B: 10b + 3 >= 35
C: 3b + 10 <= 35
D: 10b + 3 <= 35

Answers

The answer is C 3b+10<=35

if you haven't pulled a knife out on yo siblings you aint real siblings

Answers

Answer:

yup

Step-by-step explanation:

If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.

Answers

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59

Number between 3.45 and 3.46

Answers

Answer:

3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460

Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please

Answers

Answer:

Property of Equality

Step-by-step explanation:

Answer:Property of Equality

STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:

PLEB

Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.

Answers

Answer:

Not directly proportional

Oh and can you give me brainliest

slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)

Answers

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

Can someone plzz answer this!!?

Answers

Answer: B Angle Side Angle

Step-by-step explanation:

Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.

What's the answer help pls

Answers

Answer:

48°

Step-by-step explanation:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)

Two Angles are Supplementary when they add up to 180 degrees.

HENCE,

∠A + ∠B =180 (given)

⇒4x - 16 +8x + 4 = 180°

⇒12x - 12 = 180°

⇒12x = 192

⇒x = 16 ----1

substituting eq1 in ∠A,

=> 4(16) -16

=> 64 - 16

=> ∠A = 48°

Answer:

48

Step-by-step explanation:

The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this

4x-16+8x+4=180

combine like terms

12x-12=180

12x=192

divide to get x

x=16.

You need the measure of angle A so you plug it back in

4(16)-16

64-16

48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132

fine the exact rationalized value of sin(25π/6)

Answers

Answer: 1/2 1 over 2 if you didn’t know that’s fraction form and decimal form it’s 0.5

Will mark brainliest!! Please answer ASAP

Will give extra points!!!

Please let me know if the picture above answer is correct or not and tell me the right answer!

Second question-

Which linear equation can be used to represent a line parallel to the x axis that passes through the point (8,5)

1) y=5

2) y=x+8

3) y=x+5

Answers

Answer:

y=5

Step-by-step explanation:

y= 5 is always parallel to x axis

If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?

Answers

Answer:

42°

Step-by-step explanation:

Subtract: 63 - 21 = 42°

Answer:

42°F

Step-by-step explanation:

63-21=42°F

if it fell, it means it went down, so it got colder

Which expression(s) represent negative products? Check all that apply. 7.71(–0.02) 3.4(0.5) 0.23(–1.1) –2.5(–9.2) –5.09(8.1)

Answers

Answer: 1 3 5

Step-by-step explanation:

Answer:

7.71(–0.02), 0.23(–1.1), –5.09(8.1)

Which expression is a difference of cubes?

Answers

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

Use the Distributive Property to expand the expression you obtained in part B.

The expression is 2(100 − x).

Answers

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

Simplify the expression

Answers

Answer:

           f(y) = y            g(y) = y - 6

Step-by-step explanation:

[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]

Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O

Answers

Answer:

8x-3y=3

Step-by-step explanation:

Its the only one that would give you a negative x

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

Extremely easy question marking Brainliest answer

Answers

Answer:

It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.

last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run

Answers

Answer:

54 miles

Step-by-step explanation:

86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles

Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.

Let x = miles Bianca ran

x + 22 = miles Kiera ran

combined total of their miles is 86 miles

x + (x + 22) = 86

solving for x

2x + 22 = 86

2x = 86 - 22

2x = 64

x = 64 / 2

x = 32

therefore, Bianca ran for 32 miles.

learn more about miles here

brainly.com/question/32302516

#SPJ2

Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.

Answers

Answer:

yes they are congruent because they are the same size

Step-by-step explanation:

theyre the same size so yes

A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?​

Answers

It is 65 miles because 3 times 20 is 60, a fourth of 20 is 5, so you add them together and get 65 miles
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