Why do we organize the world using latitude and longitude? In two to three sentences, explain how latitude aSaleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning and longitude help us.

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

h(x) = x + 3

B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

Answer:  Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

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Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

Answer:

25

Step-by-step explanation:

Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

https://brainly.com/question/11464095

#SPJ2

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

Answer:

I think it's 4in is my answer

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

Answer:

[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]

Or:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Thus, first, we need to find the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:

[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]

Or, fully simplified:

[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]

Using the other point, we will acquire:

[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]

Or, simplified:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Answer: X1= 4, X2= 7

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

One kids ticket is $4.80 and one adult ticket is $9.60

Step-by-step explanation:

Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:

6k + 2a = 48

k = 1/2a

Solve by substitution by substituting the second equation into the first one:

6k + 2a = 48

6(1/2a) + 2a = 48

Simplify and solve for a:

3a + 2a = 48

5a = 48

a = 9.6

Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.

9.6/2

= 4.8

One kids ticket is $4.80 and one adult ticket is $9.60

Answer:

1.

Step-by-step explanation:

1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)

2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

4. tan (x), x do not equal to （π/2 +or- kπ）

x do not equal to 90，270。

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

Answer:

9.09 meters per second

Step-by-step explanation:

100 divided by 11= 9.09 meters per second.

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Problem 39

Because AB is parallel to DC, this means the consecutive interior angles B and C are supplementary (these angles are adjacent to either parallel line). They add to 180 degrees.

B+C = 180

107+C = 180

C = 180-107

C = 73

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

Problem 40

We use the same idea from earlier. This time we have two pairs of parallel lines instead of one pair. Adjacent angles in any parallelogram always add to 180.

R+I = 180

If R = 70, then angle I = 180-R = 180-70 = 110

If angle I = 110, then angle N = 70 (because I+N = 180)

If angle N = 70, then angle G = 110 (because N+G = 180)

As you can see, opposite angles of a parallelogram are always congruent.

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Answer: (0, -2) or -2

Step-by-step explanation:

Sub in 0 for x since at the y intercept x is 0

[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Answer:

Part A

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

The value of a·(a² - a + 1) + 5·a, for a = -2 is -24

Step-by-step explanation:

Part A

The given function is a·(a² - a + 1) + 5·a

The function is simplified by expanding the product of sums into sums of products, as follows;

a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a

The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

When a = -2, we get;

(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

I would say 2 because if you go by absolute value it is the largest.

Answer:

6 meters

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width.

Plug in 24 as the area and 4 as the width, then solve for the length (l):

A = lw

24 = l(4)

Divide each side by 4:

6 = l

So, the length of the rectangle is 6 meters

Answer:

6 m

Step-by-step explanation:

Area = width x length

Area= 24m²

Width= 4m

A= wl

24= 4 x l

[tex]\frac{24}{4}[/tex] = l

6m = l

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]

and

[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]

The mean of x and y is :

[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]

Hence, the mean of x and y is equal to t.