Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)​

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

Answer:

the picture is too small i can not see clearly

Step-by-step explanation:

Answer:

9^3 times 7^2

Step-by-step explanation:

Answer: Resolution

Step-by-step explanation:

The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.

Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.

We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.

Answer:

Because the purpose of business is to create a customer, the business enterprise has two--and only two--basic functions: marketing and innovation.

Answer:

I think B eaning revenue may be right answer

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-x-2≤5  Equation/Question

Step 2

-x-2≤5  Simplify

-x≤7

Step 3

-x≤7  Divide

answer

x≥-7

Answer:a

Step-by-step explanation:

The solutions to the given equation will be two distinct rational solutions, i.e. option A.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]2x ^2 -5=3x[/tex]

Now,

Rearrange the equation,

[tex]2x ^2 -3x-5=0[/tex]

Now,

Using the mid term splitting method,

[tex]2x ^2 -3x-5=0[/tex]

i.e.

[tex]2x ^2 -5x+2x-5=0[/tex]

Now,

Taking common,

[tex]2x ^2 +2x-5x-5=0[/tex]

i.e.

[tex]2x (x +1)-5(x+1)=0[/tex]

We get,

[tex](x +1)(2x -5)=0[/tex]

Now,

(x +1) = 0

⇒ x = -1

Now,

(2x -5 )= 0

⇒ [tex]x =\frac{5}{2} =2.5[/tex]

So, the solutions of the given equation are -1 and 2.5.

Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.

To know more about expression click here

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Step-by-step explanation:

Notice that the perimeter of the figure is equal to the perimeter of a rectangle that is 6in by (5in + 8in).

Hence the perimeter

= 2(6in + 5in + 8in)

= 2 * 19in = 38 inches. (D)

Answer:

120

Step-by-step explanation:

3 * 40 = 120

Answer:

beesechurger

Step-by-step explanation:

Answer: I. only

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Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 9

Answer:

-0.88

Step-by-step explanation:

(f/g)(9)=(x+7)/-2x and the 9 brackets is the value of x with which you have to substitute. after u do that you get (9+7)/-18=16/-18=-0.88(8)

Answer:

Its Actually C, just took the quiz right now

Step-by-step explanation:

The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.

Hence, the 3rd option: "The sequence converges to 1.", is the best choice.

Converging signifies a movement toward something. Diverging denotes moving away from something.

In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.

This can be shown as 3/2, 4/3, 5/4, ...

The general term of this series is (n + 2)/(n + 1).

As it is going on continuously to infinite,

The term can be shown as:

[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]

Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.

Also, the point it converges is 1.

Hence, 3rd option is the best choice.

Learn more about converging and diverging sequences at

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Answer:

Step-by-step explanation:

13.25x + 31.50x≤155

44.75x≤150

Answer:

-7/5 + 11i/5

Step-by-step explanation:

hope this helps have a great day! c:

Answer:

t= −121

Step-by-step explanation:

Answer:

48 people

Step-by-step explanation:

First, find how many were left after the first stop:

120(0.5)

= 60

Find how many were left after the second stop:

60(0.8)

= 48

So, since the rest got off on the third stop, this means 48 people got off on the third stop.

Step-by-step explanation:

(saw this trick on tik tok)

50%+20%= 70%

100%-70%= 30%

30% of 120 people

3/10x120/1= 360/10 (cancel out the 0s)

your answer is 36

Answer:

55621

Step-by-step explanation:

Answer:

ST = 8 m

Step-by-step explanation:

If those two triangles are congruent, then you have to orientate them so that Q and T overlay each other. You get that from the directions. P is first mentioned. so S must be 59 degrees.

Therefore PQ and ST must be corresponding sides.

ST = 8m

the first one 4 x (7-3)

Answer:

Step-by-step explanation:

4×(7-3)

Answer:

86.4 I believe

Step-by-step explanation:

Hello

The

Thing

Is

I

Dont

???

Answer:

8,760

Step-by-step explanation:

365 X 24

Answer:

it's x

Step-by-step explanation:

x is what is being raised by 2

Answer:

1

Step-by-step explanation:

The coefficient of x^2 is 1 because there is no real number in front of it

Hope this helped! Please mark me brainliest!

Answer:

7.5

Step-by-step explanation:

7.5 > .7

Answer:

7.5

Step-by-step explanation:

7/10 is equal to 0.7 which is smaller than 7.5 so 7.5 is bigger

Answer:

Step-by-step explanation:

I'm not sure if you wanted the answer or not but here's the answer to that.

4.7z + 13y + 34/5