Find the solution to the system of equations below.
2y = 2x - 8
2x + y = 5

Answer:

15 steps

Step-by-step explanation:

Answer:

1204 in²

Step-by-step explanation:

To find the area of a trapezoid, use the following formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First add the two bases together: 46 + 40 = 86. Now divide that by 2: 86/2 = 43. Now multiply this by the height (28): 43 x 28 = 1204. This is your area: 1204 in².

Hope it helps!

Answer:

1204

Step-by-step explanation:

1rst add the top numbers then divide it by 2. Then with the answer you have, multiply it by the height. Hope it helps! =D

Answer:

E,D

Step-by-step explanation:

Answer:

The factors are: (x - 8) and (x + 7)

Step-by-step explanation:

Given

[tex]x^2 - x - 56 = 0[/tex] -- the right equation

Required

Select the factors of the equation

[tex]x^2 - x - 56 = 0[/tex]

Expand the equation

[tex]x^2 + 7x - 8x - 56 = 0[/tex]

Factorize:

[tex]x(x+7)-8(x+7) =0[/tex]

Factor out x + 7

[tex](x-8)(x+7) =0[/tex]

Hence, the factors are: (x - 8) and (x + 7)

Answer:

it means positive 5. because negative + negative = positive or you can think like -1 times -5 which is 5.

Step-by-step explanation:

Answer:20

Step-by-step explanation:4:9

9x5=45

4x5=20

20:45

Step-by-step explanation:

So basically you're going to start with your (expected value - observed value) squared

(O-E)²

You're then gonna divide that by your expected value that you just used

(O-E)²/E

Answer:

26m

Step-by-step explanation:

The diagonals of a parallelogram bisects each other. Hence the length of UV is equal to the length of VS

UV = VS

x+3 = 2x-7

x-2x = -7-3

-x = -10

x = 10

Get SU

SU = UV+VS

SU = x+3+2x-7

SU = 3x-4

Substitute x=10 into the expression

SU = 3(10)-4

SU = 30-4

SU = 26m

Length of SU is 26m

Answer:

26m i just did it on edg

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1= -5    X2= 1

Y1= -5     Y2= -3

-3+5/1+5=1/3

a) Maximum: 10

b) Minimum: - 2

To determine the amplitude we first recognize the midline, so I will answer part d first,

d) We have our maximum as 10, and our minimum as - 2. The midline, by it's name, is a line that divides the graph in half. What we do is determine the average of 10 and - 2 => 10 - 2/2 = 8/2 = 4

Midline: y = 4

Now I will go back to part c,

c) The amplitude would be 6. We take the difference between the maximum and the midline, or the minimum and the midline.

e) Period => The difference between two respective points on the graph

=> 3π/2 - π/2 = π, Period = π

f) We know that the period = π...

2π/b = π, b = 2π/π = 2

Vertical Shift => up 4

Equation: f(x) =  6cos(2x) + 4

Answer: there are 120 baloons in the bag

Step-by-step explanation:

10/ 600 = 4/x

10x = 1200

10/1200

x= 120

Answer:

Yoy add them to be 2n squared then divide by 2 on both sides then take the square root

Answer:

$27.5

Step-by-step explanation:

Let

x = pound over weight limit

Airline 1 = 20 + 10x

Airline 2 = 5 + 30x

Equate the fees

20 + 10x = 5 + 30x

20 - 5 = 30x - 10x

15 = 20x

x = 15/20

x = 0.75 pounds

How large was each airline's fee?

Airline 1 = 20 + 10x

= 20 + 10(0.75)

= 20 + 7.5

= $27.5

Airline 2 = 5 + 30x

= 5 + 30(0.75)

= 5 + 22.5

= $27.5

Answer:

Step-by-step explanation:

This expression has two terms.  They have nothing in common, so we cannot factor.  We could write it at 17x - z.  

Was there more to this problem?

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

The requested trigonometric expression in terms of sine and cosine is;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

We must remember,

Therefore we have;

sin(u)/cos(u) + cos(u)/sin(u) = 1/f(u)

By Cross-product; we have;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

Therefore, the required function, f(u) in terms of sin u and cos u is as represented above.

Read more on trigonometry;

https://brainly.com/question/20519838

Answer:

5955.08

Step-by-step explanation:

First year: 5000×(6÷100)=300

Second year : 5300×(6÷100)=318

Third year : 5618×(6/100)=337.08

And = 5955.08

Answer:

x° = 145°

Step-by-step explanation:

x° + (2x - 255)° = 180°

3x = 180 + 255

3x = 435

x° = 145°

Answer:

The HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]90[/tex].

Step-by-step explanation:

To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.

So the HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]2^1 \cdot 3^2 \cdot 5^1 = 90[/tex].

Answer:

a = 2

Step-by-step explanation:

14a - 21 - 5a = -3

9a - 21 = -3

9a = -3 + 21

9a = 18

a = 2

Answer:

The food will last for 10 days

Step-by-step explanation:

Proportions

The amount of food the farmer needs to feed his animals is proportional to the number of animals and to the number of days they are fed.

This can be written as:

Food=k*N*D

Where k is a constant, N is the number of animals and D is the number of days.

We know that the farmer has enough food to feed N=50 animals for D=15 days, thus:

Food=k*50*15=750k

If the same amount of food is used for 50+25=75 animals, then:

750k=k*75*D

Simplifying:

750=75*D

Dividing by 75:

D=10

The food will last for 10 days

Answer:

19

Step-by-step explanation:

Add 9 to 10

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

Answer:

y > 1/2x + 2

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

30 ÷ 6 = 5

16 × 5 = 80

I hope this helped!

Answer:

a + b

Step-by-step explanation:

Answer:

a+b=ab

Step-by-step explanation:

you have to combine the two variables and multiply them by phi then divide by gamma