The ordered pair (1, -2) is a solution to the system of linear equations.

2x + y = 0

-x + 2y = 5

True
False

Answers

Answer 1

Answer:

False

Step-by-step explanation:

2x + y = 0

Try (1, -2)

2(1) + (-2) = 0

2 + (-2) = 0

0 = 0

The solution works on the first equation.

-x + 2y = 5

-(1) + 2(-2) = 5

-1 - 4 = 5

-5 = 5

The solution does not work in the second equation.

Answer: False


Related Questions

2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answers

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

Find the measurement of
an interior angle of a regular
decagon (10-sided figure).

Answers

Answer:

144°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)

Step-by-step explanation:

Step 1: Define

Number of sides n = 10

Step 2: Find

Substitute:                    180(10 - 2)Subtract:                       180(8)Multiply:                        1440°

Step 3: Find 1 angle

We have 10 sides.

Divide:                    1440/10 = 144

18 ≤ -2x = what?? please answer im in class

Answers

Answer:

-9

Step-by-step explanation:

7 1/2÷3/4 Please help this mom out!!

Answers

Answer:

10

Step-by-step explanation:

give me brainly

am i correct? let me know

Help Me please


Veronica wants to check her work after evaluating 108 ÷(-6) what steps can she follow to verify her answer?



Divide her answer by -6 and see if the result is -108.


Divide her answer by -108 and see if the result is -6.


Multiply her answer by -6 and see if the result is -108.


Multiply her answer by -108 and see if the result is -6.

Answers

Multiply her answer by -6 and see if the result is -108

Answer:

Its C

Step-by-step explanation:

can you help me please ​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

Finding the horizontal component

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

     = 38 cos 120°

     = 38 (-0.5)

      = -19

Thus, the  horizontal component is:

Vx = -19

Finding the vertical component

The vertical component can be obtained using the formula

Vy = |v| sin Ф

    = 38 sin 120°

    = 38 (0.86)

    = 32.68

Thus, the vertical component is:

Vy = -19

A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

As

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

or

v = -19 i + 32.68 j

I need the answer to this test question. We were assigned to correct our test for homework. I cannot think of another solution to this problem, please help.

Answers

Answer:

angle 1 = 70 degree and angle 2=95 degree

Step-by-step explanation:

for the first angle

180 -70 = 110

and 180-110 = 70 ( opposite angles )

for the second angle

180-85 =95

and again 180-95 =85(opposite angles)

180-85=95 (the straight line property)


18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?

Answers

Step-by-step explanation:

you should have to give more points for this answer

winston earns $140.00 by selling 56 hotdogs at a concession stand at school. by using the same rate for the cost of one hotdog , how many more would Winston need to sell to earn $175.00?​

Answers

70. 2.50 times 70 would equal 175.

You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?

Answers

Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

there are 60 inches in 5 feet. How many inches are in8 feet?​

Answers

Ok so

96 inches is the answer u calculate

Answer:

96 inches

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

Jared a beekeeper placed 120 hives in a apple orchard

Answers

Answer: 20

Step-by-step explanation:

1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.

Answers

Answer:

The 95% confidence interval is  [tex] 101.13  <  \mu < 104.87  [/tex]

The 99% confidence interval is  [tex] 100.54  <  \mu < 105.46   [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n = 110

    The sample mean is  [tex]\= x = 103 \ mg[/tex]

     The population standard deviation is  [tex]\sigma = 10 \ mg[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =1.8688 [/tex]    

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 1.8688 <  \mu < 103 + 1.8688 [/tex]

=>   [tex] 101.13  <  \mu < 104.87  [/tex]

Considering question b

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =2.4599  [/tex]    

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 2.4599 <  \mu <103 + 2.4599  [/tex]

=>   [tex] 100.54  <  \mu < 105.46   [/tex]

the sum of three consecutive multiples of 24 is 288 find these multiples
plzz solve these question now​

Answers

click on the picture attached to get the answer

hope it helps!

..........

20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?

0.15
0.21
0.45
0.79

Answers

Answer:

So i feel like the answers is .79

Step-by-step explanation:

asking for the ones that visited 21 or more so thats .45+.19+.15=.79

Answer:

.55

Step-by-step explanation:

An infinite solution means the solutions for the algebraic equation are endless

Answers

Answer:

Correct

Step-by-step explanation:

can commas be used to separate the ones, tens and hundreds

Answers

Answer: no? because the comma goes after every three numbers.

Find the area of the trapezoid below by decomposing the shape into
rectangles and triangles.
6
5
8
3

Answers

Answer:

72 square units

Step-by-step explanation:

The area of the rectangle in the middle: 6x8 = 48 square units

The area of the triangle on the left: (5x6)/2 = 30/2 = 15 square units

The area of the triangle on the right: (3x6)/2 = 18/2 =9

(The 6 for the height of the triangle on the right is from the left side of the rectangle in the middle, they have to be the same length)

48+15+9 = 72 square units

Complete the table so that the cost per banana remains the same.
number of
bananas
cost in
dollars
unit price
(dollars per banana)
4
0.50
6
0.50
7
0.50
10
0.50
10.00
0.50
16.50
0.50

Answers

Step-by-step explanation:

No. of banana    Cost      Unit price

4                            2            0.50

6                            3             0.50

7                           3.5           0.50

20                         10            0.50

20                          10             0.50

33                          16.50        0.50

Cost = No of banana x unit price

Cost = 4 x 0.50 = 2

Cost = 6 x 0.50 = 3

Cost = 7 x 0.50 = 3.50

Cost = 20 x 0.50 = 10

No of banana = Cost / Unit price

No of banana = 10 / 0.50 = 20

No of banana = 16.50 / 0.50 = 33

HELP!!

Look at the graph of the system of equations and
choose the option that best answers each question.
What is the solution?
Which equation represents the orange line, line 0?
Which equation represents the blue line, line B?

Answers

Answer: (15,180) y=0x+180 y=10x+30

Step-by-step explanation:

Answer:

first one: (15, 180)

second one: y = 0x + 180

third one: y = 10x + 30

Step-by-step explanation:

A string is 5.8 meters long. What is it's length in centimeters

Answers

Answer:

a

Step-by-step explanation:

because I said it was jejwjwjeiejehxueh ed uejrhcu

Answer:

580

Step-by-step explanation:

If 100 centimeters are in a meter, then we have to multiply 5.8 by 100 to find out the length of the string in centimeters.

(hope this helped)

Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line

Answers

Answer:

The equation is y=2/3x-7

Step-by-step explanation:

-9-(-7) /-3-0

-2/-3

that's your answer

Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1

Answers

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

[tex]z_1 = 3y^2[/tex] ;

where initially;

[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]

The volume of the region is given by a triple which is expressed as:

[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]

[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]

V = 2

Thus, the volume of the region is 2

Can some one help me plz

Answers

Answer:

4h

2d

Step-by-step explanation:

URGENT !!

A popular television show recently released a video
preview for the upcoming season on íts website As
fans of the show discover the video, the number of
views of the preview video has grown each day
during the last 2 vweeks. The number of days since
the release of the video and the natural log of the

number of video views ís shown in the scatterplot.

Answers

Answer:C

Step-by-step explanation:

Answer ASAP will give brainliest, thanks.

Answers

The solution is (0,3)

Answer:

B

Step-by-step explanation:

4x+2y=6

6x-4y=-12

2y=6-4x

y=3-2x

6x-4(3-2x)=-12

6x-12+8x=-12

2x-12=-12

2x=0

x=0

4(0)+2y=6

2y=6

y=3

(0,3)

A landscape contractor wants to make an exposed gravel border of uniform width around a rectangular pool in a garden. The pool is 10 feet long and 6 feet wide. There is enough material to cover 36 square feet. How wide should the border be

Answers

Answer:

Border should be 1 ft wide

Step-by-step explanation:

The pool is 10 feet long and 6 feet wide.

Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).

We are told there is enough material to cover 36 square feet.. Thus;

New area - old area = 36

[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36

4x² + 32x + 60 - 60 = 36

4x² + 32x = 36

Subtract 36 from both sides to get;

4x² + 32x - 36 = 0

Using quadratic formula, we have;

x = -9 or 1

We will pick the positive value as the width can't be negative.

Thus;

x = 1 ft

convert 25% into fraction with method​

Answers

25% equals 0.25. This is 1 4th of 100 making the fraction 1/4

Answer:

¼

Step-by-step explanation:

25%

= 25÷100

= ¼ (°.° 25×4 = 100)

One batch of cookies requires the following ingredients:

2 1/3 cups of flour

3/4 of a cup of chocolate chips

2/5 of a cup of chopped almonds

1 1/2cups of brown sugar

3/8of a cup of white sugar

1/2 of a teaspoon of salt

Eric wishes to triple the recipe.
How much of each ingredient should he use? Select all that apply.

A) 9/12 cup of chocolate chips

B) 6/5 cups of chopped almonds

C) 1/6 of a teaspoon of salt

D) 1 1/8 cups of white sugar

E) 6 1/3 cups of flour

F) 2 1/2 cups of brown sugar

Answers

ANWSER is 1/2 tea Pisa in salt hope this helped you

Help me please I’m dying

Answers

x is 90 i think because it shows you the right angle

Answer:

[tex]\boxed{x = 2+2\sqrt{6} ~~or~~x = 2 - 2 \sqrt{6} }[/tex]

.

Step-by-step explanation:

To find x, use pythagoras form

[tex]c^2 = a^2 + b^2[/tex]

[tex](x + 4)^2 = x^2 + (x + 1)^2[/tex]

[tex]x^2 + 8x + 16 = x^2 + x^2 + 2x + 1[/tex]

[tex]2x^2 + 2x + 1 - x^2 - 8x - 16 = 0[/tex]

[tex]x^2 - 6x - 15 = 0[/tex]

[tex]x^2 - 6x = 15[/tex]

[tex](x - 3)^2 - 9 = 15[/tex]

[tex](x - 3)^2 = 15 + 9[/tex]

[tex](x - 3)^2 = 24[/tex]

[tex]x - 2 = \pm \sqrt{24}[/tex]

[tex]x = 2 \pm 2\sqrt{6}[/tex]

.

[tex]x_1 = 2 + 2\sqrt{6}[/tex]

[tex]x_2 = 2 - 2\sqrt{6}[/tex]

.

Happy to help :)

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