2x+5y =-20, 2x-3y=28

Answer:

All triangles has a total angle of 180. So x+38+2x+18+x=180

Solve for x: 4x+56=180 so 4x=124, x=31

Answer:

y= (-7/8)x +7.5

Step-by-step explanation:

We know that the form for the equation of a line is

y= mx+b, with m being the slope, so our equation is

y=(-7/8)x+b. As b should be a constant, we need to find b. Plugging (12,-3) in, we have -3 = (-7/8)(12)+b =  -10.5+b. Adding 10.5 to both sides, we get b= 7.5, making our equation

y= (-7/8)x +7.5

Answer:

a

Step-by-step explanation:

Answer:

steeper

Step-by-step explanation:

y = mx + c where m is the slope and c is the y-intercept.

The slope has been changed from 2 to 4. The higher the slope, the steeper it is. Thus, the slope is steeper now.

Answer:

i'm not sure sorry

Step-by-step explanation:

Step-by-step explanation:

F(x) = 2x³ - 3x + 1.

d/dx [2x³ - 3x + 1] = 6x² - 3.

Firstly, we wish to find the stationary points of F(x).

When 6x² - 3 = 0, x = -0.707 or x = 0.707.

Now we use Second Derivative test:

d/dx [6x² - 3] = 12x.

Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.

Since 12(0.707) > 0, x = 0.707 is a relative minimum point.

Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.

Answer:

x = 1[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As you can see, the two angles are supplementary as they lie on the same straight line so they should add up to 180°.

100 + 30x + 30x = 180

Evaluate like terms.

60x + 100 = 180

Isolate 60x.

60x = 180 - 100

       = 80

Find x.

x = 80 ÷ 60

x = 1[tex]\frac{1}{3}[/tex]

Answer:

The frequency increases as the pitch increases, and the amplitude increases as the volume increases

Step-by-step explanation:

Answer:

b = 6

c = 9

Step-by-step explanation:

if triangles PQR and JHI are congruent, then (b + 48) must equal 9b

9b = b + 48

8b = 48

b = 6

if triangles PQR and JHI are congruent, then (c + 9) must equal 2c:

2c = c + 9

c = 9

Answer:I am pretty sure its 800

Step-by-step explanation:

Answer:

753 rounds to 753 because it is already rounded. 251 stays the same to because it cant round any further. I hope I have helped :)

21.4285714286%

or

4.66666667 i think

Answer:

the degree of the polynomial is 5

Answer:

there are infinte number of ratios that are equivaent to 1/2

Step-by-step explanation:

2/4, 3/6, 4/8, 5/10, 6/12 ...

Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Just multiply the denominator and numerator!!

For example:

1/2 =2/4

1x2=2

2x2=4

Answer:

Please see attached graph

Step-by-step explanation:

In the attached image you will find the red dots hour per hour that reflect the temperature changes described in the text. The finer red line joins the points to give continuity to the graph.

Answer:

24 units squared

Step-by-step explanation:

the area of a parallelogram is its length times height

Answer: 0.275

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

You subtract 11 from 4 and get 7 and then you divide 40 by 4 and get 10 hope that helps:)

Answer:

$28

Step-by-step explanation:

$1.75 x 16 = $28

Answer: 10.05

Step-by-step explanation:

Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)

Answer:

2x

Step-by-step explanation:

Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.

Answer:

y - (-1) = -3(x-10)

y+1= -3x+30

y= -3x+30-1

y= -3x+29

Answer:

200 patients

Step-by-step explanation:

60% = 120

100% = ?

100×120 = 12000÷60= 200

Answer:

1) The distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

2) The distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Step-by-step explanation:

Find the distance between points

Question 1

(8,-5),(-3,8)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=8, y_1=-5,x_2=-3,y_2=8[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-3-8)^2+(8-(-5))^2}\\Distance=\sqrt{(-11)^2+(8+5)^2}\\Distance=\sqrt{(-11)^2+(13)^2}\\Distance=\sqrt{121+169}\\Distance=\sqrt{290}[/tex]

So, the distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

Question 2

(-1,6),(-4,-7)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=-1, y_1=6,x_2=-4,y_2=-7[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-1))^2+(-7+6)^2}\\Distance=\sqrt{(-4+1)^2+(-1)^2}\\Distance=\sqrt{(-3)^2+(-1)^2}\\Distance=\sqrt{9+1}\\Distance=\sqrt{10}[/tex]

So, the distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Answer:

length- inches, meters, millameters

Volume- gallon, quart, cups, teaspoons

Step-by-step explanation:

Answer:

ength- inches, meters, millameters

Volume- gallon, quart, cups, teaspoons

Step-by-step explanation:

Step-by-step explanation:

first

(0.8a+0.4b)^2= (0.8a+0.4b) *(0.8a+0.4b)

=

0.64 a^2 + 0.32 ab +0.32ab + 0.16 b^2=

0.64 a^2 + 0.64ab + 0.16 b^2

second

(0.8a-0.4b)^2+1.28ab

= 0.64 a^2 - 0.64ab +0.16 b^2 + 1.28ab

= 0.64 a^2 + 0.64ab + 0.16 b^2

since the first (left parameters ) equals the second(right side parameters)

approved✓✓

Answer:

Step-by-step explanation:

From the information given:

p = 70 - 0.02q

when:

q = 3000

p = 70 - 0.02 (3000)

p = 70 - 60

p = 10 dollars

The total revenue = price × number of people

= 10 × 3000

= 30000 dollars

If the price is $20

20 = 70 - 0.02q

0.02q = 70 - 20

0.02q = 50

q = 50/0.02

q = 2500

∴

If price is $20, The total revenue = 20  × 2500

= 50000 dollars

b)

The revenue function R = price × attendance

R = p × q

R = (70 - 0.02q)q

R = 70q - 0.02q²

c)

R(q) = 70q - 0.02q²

Taking the differential of the value on the right hand side.

R'(q) = 70 × (1) - 0.02 × (2q)

R'(q) = 70 - 0.04q

If we set R'(q) = 0

70 - 0.04q = 0

70 = 0.04q

q = 70/0.04

q = 1750   (critical point)

R"(q) = 0 - 0.04 × 1

R"(q) = -0.04

R"(1750) = -0.04 < 0

∴

R is maximum when q = 1750

d)

At q = 1750

p = 70 - 0.02(q)

p = 70 - 0.02(1750)

p = 70 - 35

p = 35 dollars

e)

R(q) = 70q - 0.02q²   because R is max at q = 1750

R(1750) =  70 × 1750 - 0.02  × (1750)²

R_(max) = 122500 - 61250

R_(max) = 61250 dollars

Given that the actual price is 20 dollars when the price is changed to 35 dollars, we have a maximum revenue of:

Suppose:

p = 20 and q = 2500  (from a)

Then;

R = p × q

R = 20 × 2500

R = 50000 dollars

If R = 35, then q = 1750

R_{max} = 35 × 1750

R_{max} = 61250 dollars

∴

Profit = R_{max}  - R

Profit = 61250 - 50000

Profit = 11250 dollars

Answer:

D.

5^x=625

I hope it will be useful.

Answer:

The Answer us D

Step-by-step explanation:

log5(625)=x

x=4