The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

(y − 5)
(y + 5)
(y − 8)
(y + 8)

Answer:

12.21

Step-by-step explanation:

Explanation:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs of a triangle is equal to the squared hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse of a triangle is the longest side.

Formula/solve:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-hypotenuse[/tex]

Here, I am solving for the hypotenuse.

[tex]7^2+10^2=c^2[/tex]

[tex]49+100=c^2[/tex]

[tex]149=c^2[/tex]

Conclude:

The last step is the cancel out c² by finding the square root of 149.

149 is not a perfect square, so I must round the square root to the nearest hundredth.

[tex]12.2065556157[/tex] ≈ [tex]12.21[/tex]

I, therefore, believe the length of the hypotenuse is 12.21 feet.

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

1) angle LKM

2) angle MKL

Step-by-step explanation:

Price of a book costing sh.250

reduced to sh.200

percentage decrease on the price = (250-200)/250×100

= 20%

Answer:

25√3mm

Step-by-step explanation:

this might be the answer..

Answer:

[tex]25\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{10^2*\sqrt{3} }{4}[/tex]

Answer:

$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Step-by-step explanation:

Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:

55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5

57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282

65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560

Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Answer:

b. 15 meters

Step-by-step explanation:

This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.

Answer:

B bro

Step-by-step explanation:

Hey buddy I am here to help!

1. 8*5*2 = 40*2= 80cm2

3. 10*25*60 = 250*60 = 15000m2

2. 12*12*12 = 36cm2

4. 3*5*18 = 90*4 = 360m2

Hope my answer helps!

Plz mark me brainliest!

● Question 3. answer is wrong in last multiply so their answer is 1728m^3...

In this image their in question (1,2,3,4) answer...

I hope you understand...

Mark me as brainliest....

Thanks

Answer:

$106,426.01

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years.  Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:

A = $75,000(1 + 0.0725)^5, or

A  =  $75,000(1.0725)^5, or

A  =  $106,426.01

Answer:

$434,907.04 or $435,179.37 depending on your teacher's rounding.

Step-by-step explanation:

The rent for the first year is given as $75,250.

For the second year, the rent will increase by 7.25%, so the rent will be:

$75250 + 0.0725 ($75,250) = $80,705.63

Using the calculation for the previous year, continue the formula.

The rent increases by 7.25% for the third year, so:

$80,705.63 + 0.0725 ($80,705.63) = $86,556.79

Fourth Year:

$86556.79 + 0.0735 (86556.79) = $92,918.71

Fifth Year:

92918.71 + 0.0735 (92918.71) = 99748.24

Add these all together to get the final rent after the 5 year lease:

75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37

Answer:

y = (x+3)(x+2)(x+1)

Step-by-step explanation:

so how to determine that...

1) it has to be a third order equation (x^3) since it changes direction two times

2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors

Answer:

[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]

Answer:

Step-by-step explanation:

Surface area:

Volume:

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Answer:

x = 14

Step-by-step explanation:

Given :-

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

Which two equations represent the system for this word problem?

Equation 1:

✔ x + y = 10

Equation 2:

✔ y = 4x

Answer:

Here is your answer

Step-by-step explanation:

xy = 1

Hope you like it : )

Given:

The system of equations is:

Line A: [tex]y=x-4[/tex]

Line B: [tex]y=3x+4[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=x-4[/tex]              ...(i)

[tex]y=3x+4[/tex]           ...(ii)

Equating (i) and (ii), we get

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

[tex]-4-4=3x-x[/tex]

[tex]-8=2x[/tex]

Divide both sides by 2.

[tex]-4=x[/tex]

Substituting [tex]x=-4[/tex] in (i), we get

[tex]y=-4-4[/tex]

[tex]y=-8[/tex]

The solution of system of equations is (-4,-8).

Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.

[tex]-8=-4-4[/tex]

[tex]-8=-8[/tex]

This statement is true.

Similarly,

[tex]-8=3(-4)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

Answer:

48 years old

Step-by-step explanation:

a + w = 62

a+3 = 3(w+3) =>a+3=3w+9

=> a-3w = 6

a+ w = 62

a- 3w= 6

________-

4w = 56

w = 14

so, the Aini's age now is 62-14 = 48 years old

semoga membantu

Answer:

f=1

Step-by-step explanation:

Answer:

Then vaule of f is 1

Step-by-step explanation:

The vaule of f is 1 because 7 x 1 = 7 - 1 =6

Answer:

25, 24, 7

Step-by-step explanation:

Answer:

I assume that this is a math question not a chemistry question...

In math I assume the answer is 1 liter....

total = 2 liters (1 liter water 1 liter ammonia )

If this is a chemistry question there is a difference between total

volume, and total weight, which would not result in the answer being 1 liter

Step-by-step explanation:

Answer:

6 Cut Minimum

Step-by-step explanation:

According to the Question,

You have a 3x3x3 cube.

So , the final answer is 6 cuts.

Answer:

17/9

Step-by-step explanation:

The scaled figure in the right is larger, thus the scale factor is greater than 1.

Answer:

115 + 13w [tex]\geq[/tex] 180

Step-by-step explanation:

Answer:

13 : 8

Step-by-step explanation:

Number of plain bagels sold = 8

Number of rye bagels sold = 13

Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8

Also written as

13/8

Or

13 to 8

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer: It is 13: 8.

Given:

Two rectangles are similar.

Length of first rectangle = 18 cm

Width of first rectangle = 6 cm

Width of second rectangle = 2 cm

To find:

The length of the second rectangle.

Solution:

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]

Let x be the length of the second rectangle. Then,

[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]

[tex]3=\dfrac{x}{2}[/tex]

[tex]3\times 2=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the second rectangle is 6 cm.