If f and g are positive, (f+g)^2=54 and 2fg = 24, what is f^2+g^2?

Answer:

A

Step-by-step explanation:

5 x 10^4/2.5 x 10^2

10^2 gets cancel out by 10^4

5 gets divided by 2.5 which equals 2

Leaving us with 2 x 10^2

Answer:

A

Step-by-step explanation:

2 x 10^2

Answer:

A

Step-by-step explanation:

because this shapes angle would be out of 360 so you do 360-83-85-69=123 is the answer you get.

hope it make sense:)

Answer:

15/17

Step-by-step explanation:

sine is opposite/hypotenuse

Answer:

3/5 * 5/6

= 15/30

Step-by-step explanation:

So the answer is the third one in line

Answer:

15/30 (simplified).

Step-by-step explanation:

[tex]3/5*5/6[/tex]

To multiply the find the value of this problem, multiply the numerators and denominators.

Remember, numerators are the numbers above the fraction bar.

Denominators are the numbers below the fraction bar.

Numerators: 3, 5

Denominators: 5, 6

[tex]3*5=15[/tex]

[tex]5*6=30[/tex]

After finding the products, add the fraction bar.

[tex]15/30.[/tex]

In most cases, you will be asked to simplify. It does not seem like simplifying is required in this question.

But, I'll simplify anyway.

15/30 = 1/2 (simplified).

Answer:

[tex](f-g)(x)=x^2-4x-21[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(x^2-3x-28)-(x-7)[/tex]

Distribute:

[tex]=x^2-3x-28-x+7[/tex]

Rearrange:

[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]

Hence:

[tex](f-g)(x)=x^2-4x-21[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

You have not told us the sort of figure you're supposed to draw. If these are cuboids, then their drawings are substantially similar to the one shown in the attachment. Your figures may need to show the units on each of the dimensions.

1. A cube with edge lengths of 5 m has a volume of ...

  V = s³

  V = (5 m)³ = 125 m³

__

2. A cuboid with the given volume and other dimensions has a length of ...

  V = lwh

  675 cm³ = l(9 cm)(10 cm)

  675 cm³/(90 cm²) = l = 7.5 cm . . . . . . . . divide by the coefficient of l

Answer:

D

Step-by-step explanation:

If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.

If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.

If you add three, the parabola moves left.

Thus, the answer is D.

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Answer:

25, 32

Step-by-step explanation:

4 - 11

7

11- 18

7

it is increasing by 7 so what is 25 plus 7?

32

Answer:

64

Step-by-step explanation:

You can figure it out by adding all the interior angles.

(180-75=105º)

(180-67=113º)

105+113+90=308º

The sum of interior angles is (n-2) × 180 so the sum in his case is

(5-2) ×180=540º

540º-308º=232º

However that is the sum of the two angles but since the angles are the same size, we can divide by 2

232º÷2=116º

We must remember that this is an interior angle so we now can calculate the value of y

180º-116º=64º

Answer:

Correct choice is B

Hey buddy I am here to help!

Area of flower bed = 3 x 2 = 6ft

1 ft = 30.48cm

6 x 30.48 = 182.88cm2

Answer:

y1=-6.92

y2=-0.5146

Step-by-step explanation:

Answer:

Step-by-step explanation:

Side, side angle (SSA)  theorem shows that △NTM ≅△SMT.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure ΔNTM and ΔSMT share a common side MT.

Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.

Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ5

Answer:

3.75

Step-by-step explanation:

DF = 6/24 × 15 = 3.75

________________

Answer:

x = -24

Step-by-step explanation:

(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3

2x/6 + 24/3 = x/6 + 14/2 - 3

2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4

x/6 + 8 = 4

x/6 = -4

x = -24

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

Answer:

80 toy cars were left in the shop.

Step-by-step explanation:

Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:

Toy cars = 30%

Dolls and teddy bears = 70%

70/5 = 14 x 4 = 56

Dolls = 56%

Teddy bears = 14%

56 - 30 = 26

156/26 = 6 (1%)

Toy cars = 30 x 6 = 180

Dolls = 56 x 6 = 336

Teddy bears = 84

100 - 16 = 84

84 = 336 + 84 = 420

16 = X

84 = 420

16 = X

16 x 420/84 = X

80 = X

Therefore, 80 toy cars were left in the shop.

Answer:

Base = 19

Height = 26

Step-by-step explanation:

Given :

Height, h = base, b + 7 feets

The area of triangle, A = 247 ft²

The area of a triangle is given by :

A = 1/2 * base * height

247 = 1/2 * b * (b + 7)

247 = 0.5 * b * (b + 7)

247 = 0.5b² + 3.5b

0.5b² + 3.5b - 247 = 0

Solving the quadratic equation ; using the quadratic equation solver, the roots are :

b = -26 or b = 19

Length of base can't be negative :

Hence,

Base, b = 19

Height, h = base + 7 = 19 + 7 = 26

[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]

Step By Step Explanation:

Alternate Forms:

Answer:

[tex]3(7 + 4)-8.2[/tex]

[tex]3*11-8.2[/tex]

[tex]33-8.2[/tex]

[tex]24.8[/tex]

Answer:

let the number of adult tickets = x

Then the number of student tickets = 3x

Total tickets x+3x = 416

4x = 416

x = 416/4

x = 104

Therefore the number of adult tickets sold is 104

Step-by-step explanation:

Answer:

correct me if i'm wrong but it's 57.32 degrees?

Answer:

23.31 pounds of food per day

Step-by-step explanation:

1 mcal = 1000 kcal

0.0333 mcal = x

0.0333 * 1000 = 33.3 kcal of food per kg

A horse which weighs 665 kg ; will this need :

(33.3 *665) = 22144.5 kcal of food per day

Kcal per pound of food purchased = 950 kcal

1 pound = 950 kcal

x pound = 22144.5 kcal

950x = 22144.5

x = 22144.5 / 950

x = 23.31 pounds of food

The equation of circle with the center at (h,k) is:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

r stands for radius. Therefore r^2 = diameter or 2×radius.

The question has already given the information we need, which are:

Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).

Substitute the values in the equation:

[tex] \large{ {(x - 0)}^{2} + {(y - 8)}^{2} = {4}^{2} }[/tex]

Simplify to the simplest form

[tex] \large \boxed{ {x}^{2} + {(y - 8)}^{2} = 16} \: \: \: \: \huge{ \green{\checkmark}}[/tex]

Answer

Answer: 16%

Step-by-step explanation:

Answer:

3/6=1/2

Step-by-step explanation:

There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6

Therefore, the probability of rolling an even number is 3/6 or 1/2.