One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?

Answer:

B

Step-by-step explanation:

(x-3)(x+6)

x²+6x-3x-18

x²+3x-18

Answer:

Volume = ½x³ units.

Step-by-step explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

Answer:

short side = 4

Step-by-step explanation:

area = 1/2BH

18 = 1/2(x - 1)(x + 4)

18 = 1/2(x² + 4x - x - 4)

multiply both sides of the equation by 2:

36 = x² + 3x - 4

x² + 3x - 40 = 0

(x + 8)(x - 5) = 0

x = 5

short side = 5 - 1 = 4

The shortest length of the right angled triangle is 4 cm.

where

b = base

h = height

Therefore,

area = 18 cm²

18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)

36 = (x - 1)(x + 4)

x² + 4x - x - 4 = 36

x² + 3x - 4 = 36

x² + 3x - 4 - 36 = 0

x² + 3x - 40 = 0

x² - 5x + 8x - 40 = 0

x(x - 5) + 8(x - 5) = 0

(x + 8)(x - 5) = 0

x = -8 or 5

we can only use positive numbers.

Therefore,

x = 5

The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.

Therefore,

h = x - 1 = 5 - 1 = 4 cm

b = x + 4 = 5 + 4 = 9 cm

learn more on right angled triangle here: https://brainly.com/question/2292567?referrer=searchResults

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer:

-1/5

Step-by-step explanation:

I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.

Your answer would be: y = -1/5x + 3   [if your question is asking for the slope intercept form]

OR

Your answer would be: -1/5   [if your question is asking for just the slope]

Answer:

83.5km/h

Step-by-step explanation:

To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set

Answer:

3og -5 “times (x)” 3

Step-by-step explanation:

(3og minus 5) times 3

I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something

Answer:

The answer is the second option. x = -5.873 , x = 1.873

Step-by-step explanation:

1. add 11 to both sides of the equation

x^2 + 4x = 11

2. find a value that is equal to the square of half of b

(b/2)^2 = (2)^2

3. add the term to each side of the equation

x^2 + 4x + (2)^2 = 11 + (2)^2

4. simplify the equation

x^2 + 4x + 4 = 15

5. factor the perfect trinomial square into

(x + 2)^2 • (x + 2)^2 = 15

6. solve the equation for x

x = 1.873 , x = -5.873

HOPE THIS HELPS!!

☆☆ plz mark as brainliest ☆☆

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer:

[tex]6 (v-11) (v + 10 )[/tex]

Step-by-step explanation:

i dont have any

AnsweR 6(V-11)(V+10)

Step-by-step explanation:

step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)

step 2:identify constants b and c. b+-1 and c=-110

step3:find out all pairs of -110.

-1,110    1,110

-2,55    2,-55

-5,22      5,-22

-10,11      10,-11

step4: place 10 and 11 into place holders

x^2-x-110=(x+-)(x+-)

x^2-x-110=(x+10)(x-11)

Answer:

one solution, x=2

Step-by-step explanation:

brainliest?

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard

Answer:

C. 35 degrees

Step-by-step explanation:

Answer:

35 is your answer 21 plus 51 plus 73 plus 35

Answer:

8

Step-by-step explanation:

The outlier is the puece of data that is very different from the rest. If all of the numbers in this data were to be put on some sort of visualization, most of the numbers would be in a clump, while the 8 would be far from the clump.

the answer is 8 because when you plot the data it is the one really far away that skews the data

Answer:

b

Step-by-step explanation:

Answer:

half

Step-by-step explanation:

Answer:

a=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Step 1: Write out your equation

3a=a+36

Step 2: Subtract a on both sides

2a=36

Step 3: Divide by 2 on both sides

a=18

Hope I helped

Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

[tex]A=\dfrac{1}{2}\pi r^2[/tex]

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]

[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]

[tex]Area=14.137167+9.817477[/tex]

[tex]Area=23.954644[/tex]

Round the value to the nearest tenth (one decimal place.

[tex]Area\approx 24.0[/tex]

Therefore, the area of given figure is 24.0 sq. cm.

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

Answer:

Second one to the top right i think

Step-by-step explanation:

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.

I will get you started.

Let n = 1 and then n = 2.

5(1) - 4 + 5(2) - 4 + the rest

5 - 4 + 10 - 4 + the rest

1 + 6 + the rest

7 + the rest

Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.

Answer:

6 .

4X + 2 + X = 8X +2 -3X

5X+2=5X+2

0=0

The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .

7.

6X+6-3X+6= X+4

3X+12= X+4

2X= -8

X= -4

Hope it was helpful .

Step-by-step explanation:

I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.