write the equation of the line that goes through points (2,-2) (4,-10)

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

Answer:

42 degrees

Step-by-step explanation:

Since m and n are parallel, that is a transversal

So 24=(x-18) because of exterior angle property

so x - 18 = 24

We bring - 18 to the other side so it becomes + 18

x = 24 + 18

x = 42

Answer:

 He Saved 18.664%

Step-by-step explanation:

Well first we need to find the total of the original price of the items he got

then we can solve for how much (in percentage) he saved

We know the original price of the pant as € 34.50 because 5+29.50=34.50

Now lets find out the original price of the shirt

The shirt's original price can be found by using this equation

x * .75 = 17

17/ .75  = x

22.67 = x

Now since we know the prices of these two items lets add them together

34.50 + 22.67 = 57.17

He actually spent

29.50 + 17 = 46.5

Now what percentage of 57.17 is 46.5?

We can use 46.5/57.17 = 0.81336

.81336 *100 =  81.336%

100-81.336 = 18.664

18.664% was saved

9514 1404 393

Answer:

  528

Step-by-step explanation:

The sum can be decomposed into parts that may be easier to figure.

  [tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]

Answer:

its letter c

Step-by-step explanation:

I hope this help

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

Answer:

3x^4+8x^3+9x^2+2x

Answer:

easy-peasy

Step-by-step explanation:

Perimeter:

P=2(a+b)

P=2(50+70)

P=2(120

P=240

Area:

A=50*70

A=3,500

I really hope it helped:)

Answer:

Step-by-step explanation:

Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is

C = πd and

C = (3.1415)(50) so

C = 157.075

Now we add in the 2 straight edges of the field to get the perimeter:

P = 120 + 120 + 157.075 and

P = 397.075 m

The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.

The area of the rectangle is length times width: A = 120(50) so A = 6000

The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.

Add these 2 areas together to get the area of the whole field:

6000 + 1963.495 = 7963.495 meters squared

Answer:

B

Step-by-step explanation:

(4x^-2)^4

256x^-8

256 * 1/x^8

256/x^8

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

Answer:

x = 10

Step-by-step explanation:

8x-12 = 6x+ 8

or, 8x -6x = 8 + 12

or, 2x = 20

or, x = 20/2

so, x = 10

Answer:

10

there is a problem with the question...

IF it was : 8x - 12 = 6x + 8

then the answer would be: 2x = 20 .... x = 10

Step-by-step explanation:

Answer:

Step-by-step explanation: This means the hypothenuse and the Adjacent are equal  b= x thus the double lines indicates and they are opposite to 6

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Answer:

10

Step-by-step explanation:

not sure please verify

Answer:

61cm

Step-by-step explanation:

A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .

Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.

[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]

As we can see that here ,

Base = 11cm

Perpendicular = 60cm.

[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]

Substitute the respective values ,

[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]

Simplifying ,

[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]

Add the numbers on RHS ,

[tex]\rm\implies h^2= 3721 [/tex]

Take squareroot on both sides ,

[tex]\rm\implies h =\sqrt{61\times 61}[/tex]

Simplify the squareroot ,

[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]

Hence the hypontenuse of the triangle is 61cm .

Answer:

A/w = l

Step-by-step explanation:

A = lw

Divide each side by w

A/w = lw/w

A/w = l

Answer:

2.6

Step-by-step explanation:

2.5÷65=2.6

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.

Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.

Going from f(x) to -f(x) is the y-axis reflection part

Going from -f(x) to -f(x-4) will shift the line 4 units to the right.

Answer:

C (-2,0)

Step-by-step explanation:

Find the point where they intersect. It's (-2,0) on the graph

Answer:

C

Step-by-step explanation:

Looking at the graph, the solution is (-2, 0).

This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).

Another way to see this is by plugging in these coordinates into the system of equations:

0 = -2(-2) - 4

0 = 4 - 4

0 = 0

0 = -2 + 2

0 = 0

These are both correct, once again proving the solution is (-2, 0).

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]

= [tex] \frac{16}{4} [/tex]

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]

= [tex] \frac{12}{4} [/tex]

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]

= [tex] \frac{-8}{4} [/tex]

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]

= [tex] \frac{-16}{4} [/tex]

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

To know more about expression follow

brainly.com/question/723406

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Answer:

[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]