What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answer:

c

Step-by-step explanation:

x=-8

y= -5

therefore y=-5

and c is the answer

Answer:

D - 33.75

Step-by-step explanation:

If the rectangles are similar, then you can use this cheat:

Width:

9/4 = 2.25

2.25 is the scale factor between the two rectangles.

Using the new-found scale factor, you can do this:

15 x 2.25 = 33.75

This means the length on the second rectangle is 33.75 inches long.

Hoping this helps you! :)

Answer:

The correct answer is B. Financial analysis.

Step-by-step explanation:

Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.

Answer:

B.

Step-by-step explanation:

Answer:

X=-2

Y=0

Step-by-step explanation:

X+y=-2 = x=-2-y

3x+4y=-6

3(-2-y)+4y=-6

-6-3y+4y=-6

y=0

x+3(0)=-2

x=-2

Answer:

[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]

Step-by-step explanation:

To solve by substitution we must first isolate 1 variable in an equation.

Let's use the first equation.

[tex]x+3y= -2[/tex]

Subtract 3y from both sides to isolate the variable x.

[tex]x+3y-3y= -2 -3y[/tex]

[tex]x= -2 -3y[/tex]

Now we can substitute the expression (-2-3y) in for x in the second equation.

[tex]3x+4y= -6[/tex]

[tex]3(-2-3y)+4y= -6[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]

Combine the like terms on the left side.

[tex]-6-5y= -6[/tex]

Add 6 to both sides to isolate the variable.

[tex]-6+6-5y=-6+6\\-5y=0[/tex]

Divide both sides by -5.

[tex]-5y/-5=0/-5 \\y=0[/tex]

Now we know that y is equal to 0 and can substitute it into the first equation and find x.

[tex]x+3(0)=-2[/tex]

[tex]x+0=-2 \\x= -2[/tex]

x is equal to -2 and y is equal to 0.

Answer:

$365

Step-by-step explanation:

did the math

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

Answer:

Option A is correct answer..

Pls sandhya se baat karado yaar ,

nhi to mai mar jaunga .

Pls sandhya baat karlo na yaar .

ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ

❥︎ ʏᴜɢᴀʟᵇᵒˢˢ!

Answer:

its A

Step-by-step explanation:

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

Answer:

neither

gfhhhufkufjkg

Answer:

a) V = 35.1 in.^3

b) V = 288 pi in.^3

c) h = 2.7 in.

Step-by-step explanation:

a)

radius of base = 2 in.

height = 8 in.

volume of cone = (1/3)(pi)(r^2)h

V = (1/3)(pi)(2 in.)^2(8 in.)

V = 35.1 in.^3

You are correct.

b)

You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.

radius of base = 6 in.

height = 24 in.

volume of cylinder = (pi)(r^2)h

V = (1/3)(pi)(6 in.)^2(24 in.)

V = 288 pi in.^3

c)

volume = 288 pi in.^3

radius = 18 in.

288 pi in.^3 = (1/3)(pi)(18 in)^2 h

288 in. = (1/3)(324)h

288 in. = 108h

h = 2.666 in.

h = 2.7 in.

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

Answer:

Step-by-step explanation:

Answer:

x = 48 (in degrees, I assume)

Step-by-step explanation:

Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.

In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.

The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.

Therefore,       2x + 2 = x + 50

                         -x - 2 = -x -  2

                          x       =    48

Answer:

700,000

Step-by-step explanation:

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

Answer:

(1, 2)

Step-by-step explanation:

Use the midpoint formula

x1 + x2 / 2 ,  y1 + y2 / 2

-2 + 4 / 2 ,  -2 + 6 / 2 =

( 1, 2 )

Answer: C

Step-by-step explanation:

1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!

Answer:

12

Step-by-step explanation:

hope u find this helpfull

Answer:

Step-by-step explanation:

x = 12

the triangle was made smaller (i forget what the term is)

it was made smaller by  [tex]1\frac{1}{3}[/tex]

to find that you divide 24 by its equivalent side on the other triangle which would be 18

24 / 18 =  [tex]1\frac{1}{3}[/tex]

to find what x is equal to you have to find the equivalent side on the other triangle. this would be 16. since the triangle with 16 is bigger the equation is:

16 / [tex]1\frac{1}{3}[/tex] = 12

so x = 12

Answer:

150:30

Step-by-step explanation:

It's essentially saying 5:1, 5 girls to one boy.

so with this in mind.

150:x

150/5

30

therefore

150:30

Answer:

30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )

Step-by-step explanation:

1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.

Thats it lol.

Btw can I have brainliest if I got it correct please?

Answers:

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

Work Shown:

Beach ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6

V = 904.32

V = 904 cubic inches is the approximate volume of the beach ball

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

Toy ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3

V = 113.04

V = 113 cubic inches is the approximate volume of the toy ball

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

Divide the two volumes to find that 904/113 = 8

This means that the beach ball is 8 times greater in volume compared to the toy ball

We can say

[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]

The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is  6,333.

Hope this helps.

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

Answer:

484

Step-by-step explanation:

22 times 22

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

Answer:

5a - 8b

Step-by-step explanation:

Mr Davis buys 5 package of a glue stick

= 5a

Mr. Wilson buys 8 packages of b glue sticks

= 8b

Therefore the difference in the total is

5a-8b

Answer:

c) FJ and GH

Step-by-step explanation: