Simultaneous Equations - 5p-2q=9 3p+2q=7

Answers

Answer 1

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2


Related Questions

someone help this is due soon!!

Answers

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

How many feet are in 32 yards?

384 feet

320 feet

96 feet

35 feet

Answers

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

Solve -4x + 6(x + 2) = 20.

Answers

Answer:

4

Step-by-step explanation:

-4x +6x +12 = 20

2x + 12 = 20

2x = 8

x = 4

Answer:

X=4

Step-by-step explanation:

-4x+6x+12=29

2x=8

x=4

Good luck .

Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3

Answers

Answer:

[tex] {6}^{10} [/tex]

Step-by-step explanation:

[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]

On a quiz show, the contestant who gets the answer correct in the shortest amount of time wins. The host asks for the solution to 49+83+51. Contestant number one quickly found the sum of 49 and 51 to be 100, then added 83 to get 183. Which property did the contestant use?

Answers

Answer:

The contestant used commutive property!

Step-by-step explanation:

The commutative property of addition simply means that it does not matter in which order we add numbers together. Subtraction is not commutative. This means that the order of the numbers in the subtraction matters.

Please mark me brainliest!

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.​

Answers

hence (1,7.5) or (5,37.5) points

 ?!!!!!!!!!!!!!!!!!!!!!!!

Answers

The correct answer is B.

Can I please have brainliest?

8 squared + B squared = 10 squared

Right triangle Pythagorean theorem

Answers

Answer:

6

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

Hope I helped!! (p.s. maybe brainliest)


Find the slope of each line.

Answers

Answer:

C) 1

Step-by-step explanation:

Slope = change in y over change in x

In the graph shown as y goes up 1 x goes up 1

so slope = 1/1 or 1

The slope equation is y=mx+b.

b is where the line crosses on the y axis, also known as the y-intercept.

m is the slope, which you are trying to find.

y and x are the points on the graph.

The slope is 3/3, which can be turned into 1, so the answer is c.

Solve the question in the picture below.

Answers

The answer is b. Have a good day ;)
B. They Y intercept is where the line crosses the y axis (4) and the slope is rise/run (so down 2 over 1, which is -2/1 = -2)

Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?

A $28.80
B $2,880.00
C $508.80
D $768.00

Answers

Answer:

c

Step-by-step explanation:

Which statement(s) most directly apply to communism?

I. There is little or no private ownership.
II. Businesses are operated for the benefit of the people as a whole.
III. Individuals who take risks can gain great profits.
a.
I and II
b.
II only
c.
II and III
d.
I and III


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

In the beginning, there was little or no private ownership. Cucumbers are a pretty interesting example. We had an exchange student who said all the cucumbers were raised on one collective the size of 10 sections. He didn't know how many people were on that farm but it employed many people. The farm was located near a very large city so transportation was not a problem. The state owned the farm.

The second one is a result of the first one. Collectives are not meant to benefit the individual. They benefit everyone.

Three is a characteristic of free enterprise.

A: I and II

Answer:

a.

I and II

Step-by-step explanation:

Simple Composite figures question. Find the area of the shape.

Answers

9514 1404 393

Answer:

  453.9 m²

Step-by-step explanation:

It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.

The area of the parallelogram is ...

  A = bh

  A = (17 m)(6 m) = 102 m²

The area of the equilateral triangle—using the given altitude—is ...

  A = 1/2bh

  A = 1/2(17 m)(14.7 m) = 124.95 m²

The area of the whole figure is double the sum of these areas, so is ...

  A = 2(102 m² +124.95 m²) = 453.9 m²

The area of the shape is 453.9 m².

__

Additional comment

Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.

Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.

which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition

Answers

Answer:

D Community property of addition

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

MN = 4 units

m<MLN = 42 degrees

Step-by-step explanation:

For this problem, we need to know the definition of congruence. Two shapes are said to be congruent if the angles and sides have the exact same measurements.

We are given that these two triangles are congruent, so we know they are the same. XYZ ~= NML

Since we know this, we simply rotate the triangles to be the same to know the measurements.

We know that XY = MN = 4 units.

We know that m<YZX = m<MLN = 42 degrees.

So, these are the solutions.

Cheers.

Fill in the blank. The solution to 2 x - 2 + 5 = 13 is ______

Answers

2x = 13 - 5 + 2
2x = 10
x = 5

The fractuon 3/5 is found between which pair of fractions on a number line?

Answers

Answer: It's kinda simple, 2/5 and 4/5

Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!

Solve for c.

4+c= 10

Answers

Answer:

c = 6

Step-by-step explanation:

have a nice day :)

Answer:

c=6

Step-by-step explanation:

4+c=10

4-4 +c =10-4

c=6

how many more years is the avearge life span of a alligator then a tiger

Answers

Answer:

69 years

Step-by-step explanation:

Oh, hell yeah

Answer: 69 more years

Step-by-step explanation:

Laurence is saving money for a set of speakers. He has $230 dollars in his savings right now. He just got a part-time job at Kroger and can increase his savings account by 20.6% each week. Write an equation to represent the amount of money
in his account, y after x weeks.

Answers

It shall be 230(1.206)^x=y

An item costs $370 before tax, and the sales tax is $14.80.
Find the sales tax rate. Write your answer as a percentage.


Answers

Answer:

4%

Step-by-step explanation:

370.00x4%=$14.80

Which expression is not equal to 1?

sin θ csc θ
cos θ sec θ
tan θ cot θ
sin θ cos θ

Answers

Answer:

sin θcos θ

hope it is helpful to you

Answer:

sin A cos A

Step-by-step explanation:

[ I don't know to type angle theta here so assume A as theta]

As , sin A= p/ h

cos A= b/ h

so,

sinA cosA = p/ h × b/h

= pb/ h^2 ( which is not equal to 1 )

Tip; you can easily verify other relations expressing trigonometric ratios in terms of p,b & h and further simplifying..

what can you conclude from the box-and-whisker plot?​

Answers

Answer:

that it is a cat :')

Step-by-step explanation:

remember, whisker = cat

how do i solve this question

Answers

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

what expressions are equivalent to 12x-42 (choose all that apply)

6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)

Answers

6(2x-7) and 2(6x-21)
Both equals to 12x-42
6*2x=12x & 6*(-7)=-42 –> 12x-42
2*6x=12x & 2*(-21)=-42 —> 12x-42

19. y = 3x? - 12x

Find the discrimanite of each equation.Then,determine the number of solution

need help with this step by step please and thank you

Answers

Answer: y=−9x  

x=  y/9

​  

 

Step-by-step explanation:

how do i find the surface area and volume of this shape?

Answers

Answer:

3,761.46 m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

π = 3.14

radius, r = diameter/2

= 25/2 = 12.5 m

Height, h = 23m

Volume of a cone = 1/3πr²h

= 1/3 * 3.14 * 12.5² * 23

= 1/3 * 3.14 * 156.25 * 23

= 11,284.375 / 3

= 3761.4583333333

Approximately,

Volume of the cone = 3,761.46 m³

Just need help with this !

Please anyone answer as soon as you can

Don’t send the link that hacks you :/

Answers

Answer:

check all boxes except for the last 1

Agree
All except the very last


When 'x' is multiplied by a number inside the parentheses, it causes what type of
transformation:

Answers

i am just answering for points

I need help mann I’m stuck

Answers

Answer:

slope -1/3

y- intercept 1

Answer:

Step-by-step explanation:

If i make another answer than a crown will appear click her crown

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