What is the area of this triangle in the coordinate plane?


25.0 units²

27.5 units²

50.0 units²

55.0 units²

Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

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

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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The mathematical expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r is:

" (startfraction 3 over 3 5 endfraction) (2 minus (negative 14)) (negative 14)" (Option A)

A mathematical expression is a statement that contains numbers, variables, functions, etc that are related to one another in a very logical way.

It can also be defined as a mathematical phrase that comprises:

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Answer:

A

Step-by-step explanation:

Answer:

50.24sq units

Step-by-step explanation:

4^2=4x4

4x4=16

16x3.14=50.24

Answer:

Yes

Step-by-step explanation:

But not all rational numbers are natural numbers, so be careful of that.

Step-by-step explanation:

184% = 46/25 = 1 21/25 as a fraction

Answer:

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

Answer:

the chosen topic is not meant for use with this typ of problem try the examples below

Step-by-step explanation:

Answer:

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Step-by-step explanation:

Suppose number is x

The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of the product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

The sum of square of a number and five times that number is no more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum

x² + 5x

Step 4

Is no more than 46

x² + 5x ≤ 46

The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Step-by-step explanation:

where is the figure and question

Answer:

The second one is the correct answer

Step-by-step explanation:

There are more mammals on the list than birds and fish combined.

Answer:

Hi. Here is your answer:

1/6

Step-by-step explanation:

this is because 1/6 is equal to 5/30 of your answer.

here is proof.

which school do you go to?

Hope this helps

Brainliest please

Have a great day

Please fully rate!

The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.

Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.

Now the final probability should be

[tex]=\frac{1}{6}*\frac{1}{2}[/tex]

[tex]=\frac{1}{12}[/tex]

Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

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The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

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Using geometric sequence concepts, it is found that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

As a function of the mth term, the nth term is given by:

[tex]a_n = a_mq^{n - m}[/tex]

Hence, considering the 8th and the 11th term, the common ratio is found as follows:

[tex]a_{11} = a_8q^3[/tex]

[tex]32q^3 = 256[/tex]

[tex]q^3 = 8[/tex]

q = 2.

Then, considering the 11th term and the common ratio, the 13th term is given as follows:

[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]

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Answer:

3.2 and 3.92

Step-by-step explanation:

Answer:

143.8 m²

Explanation:

Surface Area of cylinder = 2πr(r + h)

Here given,

Surface Area of cylinder:

⇒ 2π(1.6)(1.6+ 12.7)

⇒ 174.2955 m²

⇒ 143.8 m²        (rounded to nearest 1 decimal place)

Answer:

I think it is

Step-by-step explanation:

4,8,5,15,6,12,7,6

8,5,15,6,12,7

5,15,6,12

15,6

15+6=21

Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

Answer:37

Step-by-step explanation:

just took the test

Answer:

In this problem we are given the initial amount of money that Lacey has in her account and we are also given the amount of money that she has spent using that account.  We are told to check how much money is left in her account and we can do this with a simple subtraction.

[tex]Initial\ Amount - Money\ Spent[/tex]

[tex]\$603-\$252[/tex]

[tex]\$351[/tex]

Therefore, our final answer is that Lacey has $351 left in her account.

Hope this helps!  Let me know if you have any questions

Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

Answer:

just look at the algebra formula and simplify to get your answer. Remember to use your powers well

Answer:

8%

Step-by-step explanation:

Let’s first determine the cost before any discount.

To do so, we first need to determine the area to be carpeted:

Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.

To find the cost before discount we need to multiply the area by the cost per square foot:

Cost Before Discount = Area × Cost per square foot

Cost Before Discount = 432 square feet × $8.14 per square foot

Cost Before Discount = $3,516.48

We can now determine the discount percentage he received:

Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)

$3,235.16 = $3,516.48 – (Discount % × $3,516.48)

To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.

We find that a discount of 8% is the correct solution.

If you instead prefer to use algebra to solve for the discount percentage, here are the steps.

We will rewrite the equation, using x to represent “Discount %”.

$3,235.16 = $3,516.48 − (x × $3,516.48)

$3,235.16 = $3,516.48 − $3,516.48x

Factoring out $3,516.48 we have:

$3,235.16 = $3,516.48(1 − x)

Note: Once you get comfortable with this type of problem you should skip straight to the step above.

Dividing both sides by $3,516.48 we have:

$3,235.16$3,516.48=1−x

0.92 = 1 − x

x = 0.08 = 8%

Answer:

Perimeter = 18(1 + √3 ) cm

Step-by-step explanation:

The radius of each ball = 1/2 * 6 = 3 cm.

Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).

If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.

If the adjacent side of a triangle  ( which is part of the side of the big triangle) = x:

tan 30 = 3 / x

x = 3 / tan 30

=  3 / 1/√3

=   3√3 cm.

There are 6 of these sides in the big triangle so their total length =

18√3 cm.

The three 'middle' sides joining 2 billiard balls  each have a length of  2 radii = 6 cms   ( as they form a rectangle with the radii of 2 billiard balls).

So the perimeter of the triangle = 18√3 + 3(6)

= 18(1 + √3 ) cm

I would have liked to transfer a diagram but I can't get to copy it to this site.

Answer:

= 20.7345115137

or

≈ 21

Step-by-step explanation:

Circumference = 2 x π x radius

Circumference = 2 x π x 3.3

hope this helps

have a good day

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

m + (m+4) + (m-2) = 20 or 3m + 2 = 20

Step-by-step explanation:

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.