{2x + y = -1}
{3x- 5y + -21}

Answers

Answer 1

Answer:

(-2, 3).

Step-by-step explanation:

2x + y = -1

3x- 5y = -21

Multiply the first equation by 5:

10x + 5y = -5     Adding this to the second equation:

13x = -26

x = -2.

Substituting this into equation 1:

2(-2) + y = -1

y = -1 + 4 = 3.

Checking this result in the second equation:

3(-2) - 5(3)

= -5 - 15 = -21

- Checks OK.


Related Questions

name an outcome that has a probability between 0.5 and 1​

Answers

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

If the diameter of a circle is 50 yds, the radius is​

Answers

Answer:

r = 25 yds

Step-by-step explanation:

The radius is 1/2 of the diameter

r =1/2d

r =1/2( 50 yds)

r = 25 yds

What is 25% of 24?
What is 15% of 60?
9 is what percent of 72

Answers

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right

A + B + C = 4
step by step please​

Answers

Step-by-step explanation:

Let's solve for a.

a+b+c=4

Step 1: Add -b to both sides.

a+b+c+−b=4+−b

a+c=−b+4

Step 2: Add -c to both sides.

a+c+−c=−b+4+−c

a=−b−c+4

Answer:

a=−b−c+4

(hope this helped plz mark brilliant)

Help me please I’m down baddddd

Answers

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

Select all that apply.

A spinner is divided into 4 equal sections. Which of the following are true?

The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!

Answers

the theoretical probability is 25% for each section

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

The product of 4 and the depth of the pool

Answers

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?

On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y

Answers

Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.

What is a transformation of the points?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

On a coordinate plane, 3 triangles are shown.

Triangle B C D has points (1, 4), (1, 2), (5, 3).

Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).

Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).

Reflection across the y-axis composition translation of 6 units x, -5 units y.

The diagram is given below.

More about the transformation of the points link is given below.

https://brainly.com/question/27224339

#SPJ1

if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.​

Answers

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

It took Fred 12 hours to travel over pack ice from one town to another town 360 miles away. During the return journey it took him 15 minutes

Answers

Step-by-step explanation:

what is your question please

Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.

The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

From the table, we have the following values

F = 4.467

df between group = 2

df within group = 27

To reference the result, we make use of:

F(df between group, df within group) =  F value

So, we have:

F(2, 27) = 4.47

The above result shows the F value approximated to two decimal points

Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

Read more about APA styles at:

https://brainly.com/question/858964

Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)

Answers

Answer:

d.

Step-by-step explanation:

1) just to substitute the value of 'x' into the given equation and check equality:

(9;-2): -2≠ -45-1;

(5;24): 24≠-25-1;

(-1;6): 6≠5-1;

(-4;19): 19=20-1.

I need help, please answer A and B.

Answers

Answer:

a. 81 square inches

b. 108 inches

Step-by-step explanation:

The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.

Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).

12*9 = 108 and that is the perimeter.

Answer:

area

Step-by-step explanation:

a = 405/5 = 81

a =81 square inches

perimeter

p = √81

= 9

=4×9×5

=180 inches

Determine if the triangles are congruent. If they are, state how you know. NO LINKS!!!!
Part 1c. Show your work please.​

Answers

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

ASASSSHA

======================================

Further Explanation:

ASA is where we have the marked side between two marked angles. This is slightly different from AAS or SAA. The order is important. The diagram shows how the angles pair up (eg: the double arc angles are the same measure). Using ASA is enough to prove the triangles congruent.SSS is used here because we have three pairs of congruent sides. The unmarked sides overlap perfectly, so we consider this a shared side. They are congruent to each other (because of the reflexive property). So we have enough info to show that the triangles are congruent.HA stands for hypotenuse angle. It's probably not that often used. It only applies to right triangles. The two overlapped segments are the hypotenuse of each right triangle, so that takes care of the "H" of "HA". The A part refers to the congruent acute angles (not the right angles). Therefore, the triangles are congruent by the HA theorem.

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.

Answers

Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90

A marine biologist wanted to construct a t interval to estimate the mean weight of marine otters using 98% confidence. They took a random sample of n = 8 marine otters to measure their weights. These weights were roughly symmetric with a mean of 2 = 4.5 kg and a standard deviation of sx = 1.1 kg.What critical value t* should they use?

Answers

Answer:

CI 98 %  =  ( 3.332  ;  5.668 )

t(c)  =  2.9979

Step-by-step explanation:

Confidence Interval  CI  98 %   then  α  =  2 %   α  =  0,02    α/2  =  0.01

Sample information:

Sample size    n  =  8

sample mean     x  =  4.5

standard deviation of sample    s  =  1.1 kg

degree of freedom     df  =  n  -  1     df  =  8  -  1    df  =  7

With    α/2  0.01  and  df  =  7 from t-studente table we find   t(c)

t(c)  =  2.9979

CI 98 %  =  (   x  ±  t(c) * s/√n )

CI 98 %  =  (  4.5  ±  2.9979 *  1.1/ √8 )

CI 98 %  =  (  4.5  ±  3.2976/2.8228 )

CI 98 %  =  (  4.5  ± 1.168 )

CI 98 %  =  ( 3.332  ;  5.668 )

Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5

Answers

Answer:

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.

Answers

Answer:

The magnitude of the resultant force is:

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]\theta=1.2^{\circ}[/tex]

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

Sum of x-component vector forces.

[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]

[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]

[tex]F_{tot-x}=100.3 \: pound[/tex]

Sum of y-component vector forces.

[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]

[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]

[tex]F_{tot-y}=2.1 \: pound[/tex]  

The magnitude of the resultant force is:

[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]

[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]

[tex]\theta=1.2^{\circ}[/tex]

I hope it helps you!

Can y’all help me on question 20?!

Answers

Answer:

yes I can help you but ???

A. 39 1/2 Meters INCORRECT!

B. 70 Meters CORRECT!

C. 39 Meters INCORRECT!

Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.


Clue #3: 9,4 and 6 are all not a digit in the number.

Answers

Answer:

12

Step-by-step explanation:

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

need help asap! The graphs below have the same shape. what is the equation of the red graph?

no links​

Answers

Answer:

B. [tex]g(x) = x^{3} - 5[/tex]

Step-by-step explanation:

The graph of f(x) is the graph of g(x) translated 5 units downwards.

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

Answer:

The answer e i think

Step-by-step explanation:

58​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.
a) ​P(5)=
(b) ​P(x​≥6)=
​(c) ​P(x​<4)=

Answers

Answer:

.216165788

.582225057

.417774943

Step-by-step explanation:

We need to use a binomial distribution here

A.

10C5*.58⁵*(1-.58)⁵= .216165788

B.

I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10

which means we write

10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057

C.

To solve this just take the compliment of answer B

1-.582225057= .417774943

Find the volume of the prism.

Answers

The volume of the prism is (B) 864 mm3

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

Instructions: Find the value of x
Please help

Answers

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9

I need help with #3. Please help. I have to show all work so please explain

Answers

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.

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