solve the system by substitution
5x+y=-14
5x- 3y=2

Answers

Answer 1

Answer:

x=-2 and y=-24

Step-by-step explanation:

plug in the value of y (-5x-14) into the second equation

Related Questions

Pls help me with this one

Answers

Answer:

c

Step-by-step explacnation:

Answer:

D

Step-by-step explanation:

Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°

Answers

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.

Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x .

Answers

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]

Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.

Answers

Answer:

257.48 inches

Step-by-step explanation:

pi * radius^2 * Hight

find radius by dividing the diameter in half

pi = 3.14

alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ

Answers

cause a dictionary contains all known words including dictionary..my turn!.look in the comments!

!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81

Answers

Answer:

81

Step-by-step explanation:

(-81)(-1) = 81

what is 80% as a decimal rounded to the nearest hundredth

Answers

Answer:

0.8

Step-by-step explanation:

80 percent is 80/100. Decimal point 100 would be just 1. Hence 80 percent would be 0.8/

its math algebra 1 i need help

Answers

Answer:

The 3rd one which is C

Step-by-step explanation:

It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!

I need help with math

Answers

The answer is A muy guy

Answer:

Its the second one

Step-by-step explanation:

how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?

Answers

Answer:

Greater than 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 3a

3a > 45

a > 15

Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?


Connect vertex B to the arc marking to complete the angle bisector


Find the angle bisectors for angles A and B


Connect three arc markings together to form the triangle


Use the incenter to determine the center to construct the circle

Answers

The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

what number goes into the missing space

Answers

Answer:

12

Step-by-step explanation:

mrk me brainliest plzzzzzzzzzz

Answer:

b) 12

Step-by-step explanation:

The first image shows the top 2 numbers as 5 and 2 = 5 * 2

=> 10

The Second image shows the top 2 numbers as 3 and 3 = 3 * 3

=> 9

So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6

=>12

Therefore, the missing space in the third circle is b) 12

Hope it helps :)

Manuel works for the water company as a meter reader. The meter below is the Jansen's water meter. What is the reading, in ccf, on the meter shown?

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

The meter reading in ccf

The question is incomplete, as the  meter readings is not given. So, I will solve using an assumed value for the meter readings.

Let

[tex]x\ m^3 \to meter\ readings[/tex]

The readings in ccf is:

[tex]Reading = \frac{x}{2.832}[/tex]

Now, assume the value of x is 25; The readings will be:

[tex]Reading = \frac{25}{2.832}ccf[/tex]

[tex]Reading = 8.83\ ccf[/tex]

A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .

Answers

Answer:

[tex]A=256.67ft^2[/tex]

Step-by-step explanation:

From the question we are told that:

Fan oscillates [tex]\theta=250[/tex]

Distance [tex]d=>Raduis\ r=4 feet[/tex]

Since

 [tex]250\textdegree =180\textdegree +70\textdegree[/tex]

Generally the equation for the area A is mathematically given by

 [tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

Where

 [tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]

 [tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]

 [tex]A_{sm}=25.12ft^2[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=1.55ft^2[/tex]

Therefore the area A is given as

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

 [tex]A=25.12ft^2+1.55ft^2[/tex]

 [tex]A=256.67ft^2[/tex]

I NEED HELP ASAP

The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder

Answers

Answer:

V = PI*r2h

In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.

Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.

V = pi * r2 * h

= pi * 32 * 5

= pi * 9 * 5

= 3.14 * 45

= 141.37 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

The height of the cylinder is given by h = 20 feet

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the height of the cylinder be h

Now , the volume of the cylinder V = 14,130 feet³

The diameter of the cylinder d = 30 feet

So , the radius of the cylinder r = d/2 = 15 feet

And , Volume of Cylinder = πr²h

On simplifying , we get

14,130 = π( 15 )²h

Divide by 225 on both sides , we get

πh = 62.8

Divide by π on both sides , we get

h = 62.8 / 3.14

h = 20 feet

Therefore , the value of h is 20 feet

Hence , the height of the cylinder is 20 feet

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ3

Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug

Answers

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28

Express 6 : 12 in the form n : 1 . Give n as a decimal.

Answers

Answer:

6:1

Step-by-step explanation:

hi! please help i’ll give brainliest

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

if you can, answer at least 2 question I put 10 points on it

Answers

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

Of Jamia’s 10 scrunchies, ⅖ are pink. How many are pink?

Answers

Answer:

4 are pink

Step-by-step explanation:

We have an uneven denominator So basically we Times  2/5 by 2/2

and we get 4/10

So out of the 10, 4 are Pink.

I hope this helps!

A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.

Answers

y=90x+2,000

90 is the rate of change because the hot air balloon descends 90 feet per minute.
And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

Answer:

y=90x+2,000

y=mx+b

Simplify this expression using the distributive property.
2(2z+9)

Answers

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

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

In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

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Find the volume of a drum with a radius of 7 inches and a height of 15 inches

Answers

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

275^2 please answer this question​

Answers

Answer:

75,625

Step-by-step explanation:

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3

A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.

Answers

Answer:

E

Step-by-step explanation:

please help me!!!! :(((

Answers

Answer: 2x, x^3, 3x^4, 4x^5, 34

Step-by-step explanation:

Standard form starts with the lowest degree to the highest, then ends with any naked numbers

AREA OF CIRCLES PLS HELPP​

Answers

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

Are the following figures similar?

Answers

Answer:

well the shape is same but the measurements are different

Step-by-step explanation:

Find the sum of the given geometric series: n = 8, r = 3, a = 1/2​

Answers

Answer:

a⁸=112 is the answer.

Step-by-step explanation:

a⁸=32(1/2)⁷

a⁸=32(7/2)

a⁸=112

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