Three vertices of a rectangle are at points A (-5,1), B (1,1), and C (1,-2). What is the area of the rectangle?

Question 1 options:

8 sq units


10 sq units


18 sq units

»f(x) = (x + 2)²

»f(5) = (5 + 2)²

»f(5) = 7²

»f(5) = 49✅

~Hello! I will try to help you!

•Given : -

•To Find : -

•Step-by-step explanation : -

[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]

»Just substitute the value 5 into the function f(x) above, then:-

[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]

With this it's done!

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

Answer:

3(x + y)

x = 4 y = 5

3(4 + 5)

12 + 15

= 27

Step-by-step explanation:

.......62% is the greatest......

Answer:

2 • (g - 2) • (4g + 3)

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

(23g2 - 10g) - 12

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)

Trying to factor by splitting the middle term

3.2 Factoring 4g2 - 5g - 6

The first term is, 4g2 its coefficient is 4 .

The middle term is, -5g its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

4g2 - 8g + 3g - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4g • (g-2)

Add up the last 2 terms, pulling out common factors :

3 • (g-2)

Step-5 : Add up the four terms of step 4 :

(4g+3) • (g-2)

Which is the desired factorization

Final result :

2 • (g - 2) • (4g + 3)

Answer:

Step-by-step explanation:

1. (A) 96:38, 38:96, 96/38

(B) The two ratios are the same as they represent the same thing just reversed

2(A) 38:46

(B)  The simplest form means that you must simplify it and you get 19: 23

3 (A) For every 1 documentary movie there is 2 comedy movie

(B)For every3 kid movie, there is 4 horror movie

hope that helps, sorry for the simplified answers as I am in a bit of a rush too

A translation followed by a reflection

Answer:

The soccer league can buy 105 soccer balls.

Step-by-step explanation:

I did $630 divided by $6 and got 105! :)

Answer:

I believe the answer is either B or D.

Step-by-step explanation:

if I had to choose I think your best choice would be B. But if you draw it on a graph there is a possibility it could be D. But I think your best choice is B.

So, what you need to do here is to first plot all the points on the coordinate plane. When you plot all the points, and connect them all together, you should be able to see a shape. When I plotted all your points, I got a parallelogram or a rectangle, which is most likely the correct answer here because it is more specific than saying a parallelogram. A parallelogram can be a square, rhombus, or any other shape that fits the characteristics of one, so saying "rectangle" is better.

Answer:

D . (486 – 9 + 6) + (33 × 2)

Step-by-step explanation:

Which expression is equivalent to 486 – 9 + 6 + 33 × 2?

486 – 9 + 6 + 33 × 2

486 – 9 + 6 + 66

477 + 6 + 66

549

D . (486 – 9 + 6) + (33 × 2)

      477 + 6 + 66

               549

Hope this helps!

Answer:

Answer:

15% off 212.5

30% off 175$

Step-by-step explanation:

15+15=30 so

250/100=2.5

2.5x30=75

250-75

Answer:

(view picture)

Step-by-step explanation:

i got this from the answer section after getting it wrong the first time it’ll show the answer

Answer:

R23 470

because 3 is below 5 so =0

Answer: A

Step-by-step explanation:

The triangles are similar by AA. Angles BPA and CPD are congruent because they are vertical angles, and angles ABP and CDP are congruent because all right angles are congruent.

Answer:

B

Step-by-step explanation:

Simply choose an x coordinate and plug it into the equations from the choices given.

i.e. where x=1

y=2(1)^2 - 4(1)

y= 2-4

y= -2

it can then be seen that where x=1 on the graph, y= -2 aligns perfectly

Answer:

B

Step-by-step explanation:

In y = 2x^2-4x, we put y = 0 to represent the intersection points on the x-axis of the graph. (Since y = 0 is always on the x-axis)

For 2x^2-4x = 0, using the quadratic formula, we get x = 0 and x = 2.

This matches the int. points on the graph.

Answer:

The results are the opposite sign of x1 and x2.

[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 17x + 72 = 0[/tex]

[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]

[tex]Δ = 289 - 288 = 1[/tex]

[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]

[tex]x1 = \frac{17 + 1}{2} = 9[/tex]

[tex]x2 = \frac{17 - 1}{2} = 8[/tex]

Part (a)

x = number of adults

y = number of students

5x = amount all of the adults paid ($5 each)

2y = amount the students paid ($2 each)

5x+2y = total amount of money for adults and students combined

The total amount (5x+2y) must be more than $150

So we end up with 5x+2y > 150 as the inequality.

This inequality involves the boundary line 5x+2y = 150 which goes through the y and x intercepts of (0,75) and (30,0) respectively. We use a dashed line for the boundary to mean that points on the boundary are not included as solution points.

We shade above the dashed boundary line to finish off the graph.

Refer to figure (a) shown below.

========================================================

Part (b)

x = number of adults

y = number of students

x+y = total number of people

120 seats is the max capacity so x+y cannot exceed this value.

x+y = 120 or x+y < 120

Or in short x+y ≤ 120 is the inequality

This involves the boundary line x+y = 120 which goes through the y and x intercepts of (0,120) and (120,0). We shade below the solid boundary line.

Refer to figure (b) shown below.

========================================================

Part (c)

Now imagine we overlapped the blue region from part (a) and the red region from part (b)

We'll get the purple region shown in figure (c). At this point, I'm only considering cases when x ≥ 0 and when y ≥ 0. It's not possible to have a negative number of people, so that's why we focus on the upper right quadrant of the xy grid.

This purple region consists of all (x,y) points that make ALL of the inequalities to be true. Exclude any points on the dashed boundary.

For example, if we picked the point (x,y) = (50,40) then this point is in the purple region. We can confirm its a solution by checking each inequality.

5x+2y > 150

5*50+2*40 > 150

250+80 > 150

330 > 150  .... which is true

and,

x+y ≤ 120

50+40 ≤ 120

90 ≤ 120 ... which is also true

Furthermore, both x and y are nonnegative making x ≥ 0 and y ≥ 0 to be true as well. Every inequality mentioned is true for (x,y) = (50,40) to fully confirm the solution point. There are other possible solutions such as (40,60) and (80,20) which I'll let you verify.

If we stick to the (50,40) from earlier, then this means 50 adults and 40 students went to the concert.

Other answers are possible

Answer:

LM = 22

Step-by-step explanation:

11(44) = (LM)^2

484 = (LM)^2

LM = √484 = 22

Answer:

LM = 22

Step-by-step explanation:

If a tangent segment and a secant segment are drawn from an exterior point to a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the external secant segment and the secant segment.

So for this circle,

So LM² = NM · OM

Given:

  LM² = 11 · 44 = 484

⇒ LM = √484 = 22

Answer:

Step-by-step explanation:

area=π r²

=π×15²

=225 π cm²

Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .

Step-by-step explanation:

Answer:

the answer is 17.3 repeated

Step-by-step explanation:

because 52 divided by 3

Answer:

1.  -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

Answer:

2/25, 11%, 1/8

Step-by-step explanation:

Hopefully this is correct

Answer:

Turn them into decimals

Step-by-step explanation:

11% = 0.11

1/8 = 0.125

2/25= 0.08

0.08, 0.11, 0.125 I believe is the correct order.

Answer:

1.)  163

2.)  56

3.) 94

Step-by-step explanation

Because the angles are supplementary, it means they equal 180 degrees. Therefore, just use this equation to found the unknown angle.

180-(The Number you are given) = (The angle you want)

For Example,

180-86=94

Step-by-step explanation:

Area=Length ×Width

so take 625×235=

which is..

146875 square cm

Answer:

Step-by-step explanation:

B = 180 - 50 - 35 = 115 degrees

By the law of sines,

[tex]c=\frac{13\sin 35^{\circ}}{\sin 115^{\crc}}[/tex]

And [tex]a=\frac{13\sin 50^{\circ}}{\sin 115^{\circ}}[/tex]

Answer:

B=95 a= 10 c= 7.5

Answer:

I'm pretty sure it is C

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-9x-3=60

add 3 to each side to cancel -3

-9x-3+3=60+3

simplify

-9x=63

divide by -9 to cancel the -9

-9x/-9=63/-9

simplify

x=-7