prove that cos^2(45º – A ) - sin^2 (45º – A) = Sin2A

Answer:

34a + 12

Step-by-step explanation:

12a + 6a + 8 + 10a - 4 + 6a + 8

combine like terms

12a + 6a + 10a + 6a

and 8 + 8 - 4

34a + 12

Answer:

2pi

Step-by-step explanation:

period for sin is 2pi/b

its only x theres 1 before x so its 1x=b

2pi/1

= 2pi

The period of  function f ( x ) = sin ( x ) is 2π.

The sine function ( sin ( x ) ) is a periodic function, which means it repeats its values in regular intervals. The period of sin(x) is the length of one complete cycle of the function before it starts repeating itself.

The period of the function f ( x ) = sin( x ) is 2π.

In the case of sin ( x ), it completes one full cycle ( from 0 to 2π ) every 2π units. Therefore, the period of f ( x ) = sin ( x ) is 2π.

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Answer:

4. (a) = 12 m

   (b) = 27 cm

   (c) = 24 mm

   (d) = 18 km

   (e) = 10 m

   (f) = 36 cm

Step-by-step explanation:

Perimeter is sum the distance round a figure.

if a shape has those, they signify that the shape has two side that are equal

a)  4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .

b)  10 + 10 + 7 = 27

c) 5 + 5 + 8 + 6 = 24

d)  3 + 3 + 6 + 6 = 18

e) 2.5 + 2.5 + 2.5 + 2.5 = 10

f) 12 + 7 + 7 + 5 + 5 = 36

If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.

Hope this helps and if it does pls mark as branliest answer thx.

Answer:

Congruent Angles

Reasoning:

An angle bisector bisects/splits an angle into two equal/congruent parts/angles.

Answer with explanation:

→ The Meaning of Angle bisector is that line or line segment which divide an Angle in two equal Parts.

→So, If a Line or line segment  that is  Angle bisector is bisecting an Angle , it will divide the angle into two equal Angles.

For example: Suppose an Angle has Measure of 60°, the Angle bisector will divide it into two congruent Angles each being equal to 30°.

⇒The presence of an angle bisector will result in Congruent type of angles

Answer:

C

Step-by-step explanation:

Given the inequality

(x - 3)(x + 5) ≤ 0

Find the zeros by equating to zero

(x - 3)(x + 5) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 5 = 0 ⇒ x = - 5

Thus the domain is split into 3 intervals

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

- ∞ < x ≤ - 5 → (1)

- 5 ≤ x ≤ 3 → (2)

3 ≤ x < + ∞ → (3)

Select a test point in each interval and check validity

x = - 10 → (- 13)(- 5) = 65 > 0 ← not valid

x = 0 → (- 3)(5) = - 15 < 0 ← valid

x = 10 → (7)(15) = 105 > 0 ← not valid

Solution is { x | - 5 ≤ x ≤ 3 }

Answer:

[tex]x^2-10x+25[/tex]

Step-by-step explanation:

We have been given an expression [tex]x^2-10x+[/tex]. We are asked to convert our given expression into perfect-square trinomial.

We know that an equation in form [tex]x^2+bx+c[/tex] is a perfect square, if [tex]c=(\frac{b}{2})^2[/tex]

To convert our given expression into perfect-square trinomial, we need to add [tex](\frac{10}{2})^2[/tex] to our given expression.

[tex](\frac{10}{2})^2=5^2=25[/tex]

Therefore, our perfect square trianominal would be [tex]x^2-10x+25[/tex].

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the pattern as the exponent decreases.

the first value in the table is 125.

if we divide 125 by 5 i.e 125/5 we get 25

the next value in the table is 25

if we divide 25 by 5 i.e 25/5 we get 5

the next value in the table is 5

if we divide 5 by 5 i.e 5/5 we get 1

the next value in the table is 1

if we divide 1 by 5 i.e 1/5 we get 1/5

the next value in the table is 1/5

if we divide 1/5 by 5 i.e 1/5*5 we get 1/25

the next value in the table is 1/25

So, the pattern is if we divide the previous value by 5 we get the next value in the table.

So, Option C is correct.

Answer:

The answer is C

Step-by-step explanation:

I just took the test

Answer:

y=5 is horizontal

(-4,5) is on the line

Step-by-step explanation:

y= a number is always a horizontal line

x= b number is always a vertical line

So y=5 is horizontal and it includes every single ordered pair with a y-coordinate of 5. So it contain the ordered pair (-4,5).

So there are two statements.

The correct statements are :

The graph of y = 5 is a vertical line.

The point (-4, 5) lies on the line.

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

So the line passes through ( -4,5)

So options A and D are correct.

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Answer:

y= -1/3x+5

Step-by-step explanation:

Answer:

C. 140

Step-by-step explanation:

We want m^2 to be the largest value it can be, so ignoring the sign of m the largest value of |m| is 12

(-12)^2 = 144 which is the largest value of m^2

We want n^2 to be the smallest it can be, so ignoring the sign of n the smallest value of |n| is 2

(2)^2 =4

m^2 -n^2

144-4 = 140

Answer:

It's B.

Step-by-step explanation:

First  is x + 23 and second is  2x - 18.

So the product is

(x + 23)(2x - 18)

= 2x^2 - 18x + 46x - 414

=  2x^2 + 28x - 414

Answer:

20

Step-by-step explanation:

Givens

Let child one = x

Let child two = y

Let child three = z

Equations

x^2 + y^2 + z^2 = 100

xy + xz + yz = 150

Solution

There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).

(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz

Take out 2 as a common factor from the last three terms.

(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )

Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150

(x + y + z)^2 = 100 + 2*150

(x + y + z)^2 = 100 + 300

(x + y + z)^2 = 400

Take the square root of both sides.

sqrt(x+y+z)^2 = sqrt(400)

x + y + z = 20

Note

This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.

Answer:

The surface area of the figure is [tex]SA=458\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the figure is equal to

[tex]SA=2B+PH[/tex]

where

B is the area of the L-shaped cross section

P is the perimeter of L-shaped cross section

H is the width of the figure

Find the area of the L-shaped cross section

[tex]B=12*7+5*5=109\ ft^{2}[/tex]

Find the perimeter P of L-shaped cross section

[tex]P=(12+7+7+5+5+12)=48\ ft[/tex]

[tex]H=5\ ft[/tex]

substitute

[tex]SA=2(109)+(48)(5)=458\ ft^{2}[/tex]

Answer:

Surface area = 458 square ft

Step-by-step explanation:

From the figure attached with this answer we can see figure.

To find the surface area of the figure

Surface area is sum of area of  small rectangles

Surface area = 2(12 * 7 ) + 4(5 * 5) + 2(12 * 5) + 2(7 * 5)

= 2*84  + 4*25 + 2 *60 + 2*35

 = 168 + 100 + 120 + 70

 = 458

Therefore surface area of given figure = 458 square ft

Answer:

1/2

or

0.5

Step-by-step explanation:

you need to get the line in the form of y = mx + b

2x - 4y = 10                  Subtract 3x from both sides

-4y = - 2x + 10              3x on the left disappears. Divide by - 4

-4y/-4 =-2x/-4 +10/-4    Do the division

y = (2/4)x - 2.5

y = (1/2)x - 2.5

The slope is the number in front of the x

y = 0.5x - 2.5

Answer:

No, the power multiplied to 8.64 should havean exponent of zero.

HOPE THIS WILL HELP YOU

Answer:its the second one or b

Step-by-step explanation:

Answer: "The true mean height of the giraffes is less than or equal to 15 feet".

Step-by-step explanation:

A hypothesis in a statement that is made about a statistical parameter of a population.

A null hypothesis [tex]H_0[/tex] is usually the hypothesis that is tried to reject by an alternate hypothesis [tex]H_a[/tex]

In this case  [tex]H_a[/tex] is:

"The true mean height of the giraffes is more than 15 feet".

Therefore, for this case, the null hypothesis must be:

 "The true mean height of the giraffes is less than or equal to 15 feet".

Answer:

Denise has $17

Step-by-step explanation:

T = Theo, D = Denise, and R = Rudy

T + D + R= 45

(D+ 5) +( D)+ (D - 11) = 45

3D -6 = 45

3D = 51

D = 17

[tex]4-(6(3x+2)-x)+4=-(18x+12-x)+8=-(17x+12)+8=-17x-12+8=-17x-4[/tex]

For this case we have the following expression:

[tex]a + b[/tex]

We must evaluate the expression to:

[tex]a = 2\\b = 3[/tex]

Substituting the values in the expression we have:

[tex]2 + 3[/tex]

Equal signs are added and the same sign is placed.

So:

[tex]2 + 3 = 5[/tex]

Finally, the value of the expression is 5.

Answer:

[tex]a + b = 5[/tex]for[tex]a = 2[/tex] and[tex]b = 3[/tex]

Answer:

7/4

Step-by-step explanation:

The slope of the line going through (2,3) and (-2,-4) can be found by:

A) Lining up points

B)  Subtracting the numbers vertically

C) Answer: Putting 2nd difference over 1st difference (yes a fraction)

 Let's do it!

 (  2  ,  3)

-( -2  ,  -4)

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

4       7

So the slope is 7/4

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

We have as data the following points:

[tex](x1, y1) = (2,3)\\(x2, y2) = (- 2, -4)[/tex]

Substituting in the formula we have:

[tex]m = \frac {-4-3} {- 2-2}[/tex]

Equal signs are added and the same sign is placed:

[tex]m = \frac {-7} {- 4}\\m = \frac {7} {4}[/tex]

Answer:

[tex]m = \frac {7} {4}[/tex]

Answer:

The quotient is [tex]\frac{7}{12c}[/tex]

Step-by-step explanation:

Given expression is:  [tex]\frac{5}{4c^2}\div \frac{15}{7c}[/tex]

While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction.

So, we will get.....

[tex]\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c][/tex]

So, the quotient is [tex]\frac{7}{12c}[/tex]

Answer:

the answer is B

Step-by-step explanation:

just did the assignment on edge

Answer:

You start at the bottom

Distance, often assigned the variable d, is a measure of the space contained by a straight line between two points. Distance can refer to the space between two stationary points (for instance, a person's height is the distance from the bottom of his or her feet to the top of his or her head) or can refer to the space between the current position of a moving object and its starting location.

Answer:

[tex]\large\boxed{y+7=-3(x-5)}[/tex]

Step-by-step explanation:

[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_2)-point\\\\\text{We have}\ m=-3\ \text{and}\ (5,\ -7).\\\text{Substitute:}\\\\y-(-7)=-3(x-5)\\y+7=-3(x-5)[/tex]

Answer:

The game’s expected value of points earned for a turn is 71.

Step-by-step explanation:

Here we know that:

Points     Frequency

50           55

75            32

150          13

Here points earned is a random variable.

We need to find its expected value,

Finding Expected value:

Expected value of a random variable is its mean value. So we will first find the mean value of points earned per turn from the table we are given.

Total number of turns = sum of frequencies

= 55 + 32 + 14 = 100

Total points earned = 50(55) + 75(32) + 150(13)

= 7100

Expected value of points earned for a turn = Mean value of points

= Total points/no. of turns

= 7100/100

= 71

The Midpoint of a segment divides the segment into two segments of equal length.

Answer:

Midpoint

Step-by-step explanation:

The midpoint is the point on the segment halfway between the two endpoints. In some cases the midpoint of a segment can be found simply by counting.

For example in a straight line between (2,0) and (6,0) the midpoint would be located on the point (4,0).

Answer:

The new function is g(x) = Ix - 5I - 7 ⇒ answer C

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

∵ f(x) = IxI

∵ f(x) is shifted 5 units to the right

∵ If the function f(x) shifted to the right  by h units

∴ g(x) = f(x - h)

- Change IxI to Ix - 5I ⇒ (1)

∵ f(x) is shifted 7 uints down

∵ If the function f(x) shifted down  by k units

∴ g(x) = f(x) - k

- Change f(x) to f(x) - 7 ⇒ (2)

- From (1) and (2) the new function is:

 g(x) = Ix - 5I - 7

* The new function is g(x) = Ix - 5I - 7

Answer:

16 chlildren

Step-by-step explanation:

5x+8y=80

y=0

5x=80

x=8-0/5=16

Answer:

Step-by-step explanation:

The answer is B.16

Since the equation is 5x+8y=80

There are no parents so it equation will turn into 5x+8(0)=80, AKA, 5x=80

Using algebra, 5x=80 will x=80/5

which is 16