Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express coordinates as fractions, using the slash mark (/) for the fraction bar. (-12, -3) (3, -8)

9514 1404 393

Answer:

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.

r^2 + s^2 = t^2

The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.

Answer:

Hey there!

The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.

Thus, r^2+s^2=t^2.

This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)

Answer:

-8 5/20 , 4/25 , 9/20

Step-by-step explanation:

If there are negative numbers, those are the least. Let's say the number was -2 and -1. With a positive integer, 2 would be greater, but since it's negative, it's the least. SO -8 and 5/20 would be the least. Then putting the other two fractions into decimal form, or you can find the greatest common denominator, you'll find that 9/20 is greater than 4/25.

Answer:

Step-by-step explanation:

From ohms law the expression for voltage is given as

[tex]V= IR[/tex]

Now given that

Voltage, V= [tex]2.4*10^3[/tex] volts

Resistance R= [tex]2*10^6[/tex] ohms

Applying ohms law the current can be calculated by making I the subject of formula

that is I= V/R

[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]

The current in amps is 1.2 milli amps

Answer:

B

Step-by-step explanation:

Given g(x) then g(x + a) is a horizontal translation of g(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

h(x) = g(x - 3) = (x - 3)² with a < 0

The graph of h(x) is the graph of g(x) horizontally shifted right 3 units

Answer:

Step-by-step explanation:

Assuming you want to find x, we can set two equations:

x-3=0

2x-3=0

This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.

solve for x on both sides, and you get 3 and 1.5

Answer:

[tex]x=3, x=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]

The zero product theorem will be used here to solve this non-linear problem.

means that in the original equation, each variable component must be set to zero.

[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]

To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.

so,  -3  will be moved to the right side

Notice that when a term moves from one side of the equation to the other, it changes sign.

[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]

[tex]x\left \{ 3,\frac{3}{2} \}[/tex]

OAmalOHopeO

Answer:

B

Step-by-step explanation:

Sine is opposite/hypotenuse. Sine C  would be 5/13 so option B is correct.

Answer:

6

Step-by-step explanation:

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

Answer:

21 letters

Step-by-step explanation:

A, B, C, D, E, F, G, H, I, J, K, L, M, NO, P, Q, R, S, T, U

Answer:

90 degrees

Step-by-step explanation:

Two angles form a straight line which is 180 degrees.

The two angles are congruent ( or equal to each other )

Let x = measure of one of the angles.

180 = 2x

Divide both sides by 2

180/2 = 90

2x / 2 = x

x = 90

The measure of both angles are 90 degrees

Answer:

It’s 90

Step-by-step explanation:

Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this

Answer:

Step-by-step explanation:

If the function is f(x), then shift 8 units left and 3 units down will result in:

Apply to the given function to get:

Correct choice is A

Answer:

The correct Option is Option A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Freda's sum = x

Donnie has 3/4 x

He spends 63 dollars. His sum is now

3/4x - 63

Now the equation looks like this

6(3/4x - 63) = x            Remove the brackets

6*3/4 x - 378 =x

6 * 3/4 = 4 1/2

4 1/2 x - 378 = x           Add 378 to both sides

4 1/2 x = x + 378          Subtract x from both sides

3.5 x = 378                  Divide by 3.5

x = 378 /3.5

x = 108

Since x = 108, that's how much Freda had. (She spent nothing).

Answer:

24.99 cm

Step-by-step explanation:

We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.

2*pi*7 = 14pi = 43.98 cm

Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:

43.98 * 1/4 = 10.99 cm

We are already provided with the other two sides, which are both equal to 7 cm since they are radii.

Perimeter = 10.99 +7 + 7 = 24.99 cm

Hope this helps!

Answer:

an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.

Step-by-step explanation:

i hope this helps :)

Answer:

To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).

The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.

Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.

In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.

See more about figure rotation at brainly.com/question/11392539

#SPJ2

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

Answer:

See explanation

Step-by-step explanation:

We can factor polynomials by breaking down the expression.

For instance, let's say we have the polynomial [tex]x^2 - 9x + 14[/tex].

We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ([tex]ax^2 + bx + c[/tex].)

To factor a polynomial, we are looking for two numbers that:

A. When multiplied, get us [tex]c[/tex] (in this case, 14)

B. When added, get us [tex]b[/tex] (in this case, -9).

If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.

However, these numbers ADD to be -9, meaning that they both need to be negative.

[tex]-7 + -2 = -9\\-7\cdot-2=14[/tex]

Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by [tex](x + y)[/tex], y being our factor.

So our factors turn out to be [tex](x-7)[/tex] and [tex](x-2)[/tex].

Let me know if you need anything explained more, and I hope this helped!

Answer:

37

Step-by-step explanation:

tan(theta)=perpendicular/base

tan(theta)=3/4

theta=arctan(3/4)=37

Answer:

37°

Step-by-step explanation:

for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,

tan x=opposite/adjacent

tanx=3/4

tanx=0.75

x=tan inverse of 0.75

x=36.9 or 37°

I hope this helps

Some additional context would be helpful in providing a complete answer. But the basic idea is this:

• Object ABC has a price X set on it.

• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.

• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.

Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.

• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.

• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.

Answer:

the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

Answer:

594

Step-by-step explanation:

1782/3 = 594.

To if the answer is correct, you do this:

594 × 3 = 1782.

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

⇛ ∠E + ∠F + ∠G + ∠H = 360°

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

Answer:

I think it is segment...........

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi