how do i use a graphing calculator to solve the system.

m∠FCE =25º

1) Since the measure of ∠DCF = 115º and ∠DCE = 90º then by the Angle Addition postulate we can state that

∠DCF = ∠DCE +∠FCE Plugging into that the given values

115º = 90º + ∠FCE Subtracting 90º from both sides

115-90=∠FCE

25º =∠FCE

2) Then the measure of ∠FCE is 25º

Mrs.Smith took : her 3 kids + 3 of their friends = 3 + ( 3x 3 ) = 12 kids

Answer:

There are 3 kids, and 3 friends.

3 + 3 = 6

there are a total of 6 kids.

We use the equation: h = 100(n + 2), so:

For n = 1:

For n = 3:

We can see that this is the correct equation. Therefore, given h we find n:

For h = 700

For h = 900

Answer:

(n): 1 3 5 7

(h): 300 500 700 900

Correct equation: h = 100(n + 2)

To answer this question, we can proceed as follows:

1. Subtract 3.5 to both sides of the equation:

2. Multiply by 2 to both sides of the equation:

We can check this result as follows:

This result is TRUE. Then, the value for h = 7.2.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

vertical line test = ?

horizontal line test = ?

Step 02:

vertical line test ===> function

any vertical line intersect the graph at only one point

horizontal line test ===> invertible

any horizontal line intersect the graph at only one point

graph:

horizontal line test = red

vertical line test = brown

That is the full solution.

The value Z is denoted as the center of the circle. Therefore, arc UV and arc XY should be the same .

Answer: A. 42°

Step-by-step explanation:

Hope this helps :)

It means that you are supposed to group The like terms together and simplify them

you will find that 2t is the liketerm with -5t and -u is a like term with -6u

As a results we have

[tex] = 2t - 5t - u - 6u \\ = - 3t - 7u[/tex]

as indicated I have shown you the answer .

good luck

Answer:

15:20

Step-by-step explanation:

18:24 can be written [tex]\frac{18}{24}[/tex]  if I simplify this by dividing the top and bottom by 6, I get [tex]\frac{3}{4}[/tex]

I am looking for what other ration will reduce to [tex]\frac{3}{4}[/tex]

[tex]\frac{15}{20}[/tex]  Divide the top and bottom by 5 and you will get [tex]\frac{3}{4}[/tex]

The given functions are,

Fog can be determined as,

The value of fog(-1) can be determined as,

Thus, the requried value is 7.

Answer: 100

Step-by-step explanation:

$1 =100 pennies

Okay, here we have this:

We need to convert 352 inches per second to miles per hour. So we obtain the following:

Finally we obtain that 352 inches per second 20 are miles per hour.

The solutions of the indices are;

1)  2^7

2) 3^-4

3) 3^4

4) 2^4

We know that in this case, we would have to apply the laws of indices and the particular law that we are to apply in each case is dependent on the nature of the problem that have been posed. Let us recall that we are asked to ensure that we express the answer or the solution to the problem as a single power.

1) 64 * 256/128

2^6 * 2^8/2^7

2^6 + 8 - 7 = 2^7

2) 3^4/3^3 * 3^5

3^4 - (3 + 5) = 3^-4

3) 3^9/ (3^4)^1/2 * 3^3

3^9/ 3^2 * 3^3

3^9 - (2 + 3)

3^4

4) (2^3)^4 * 2^4 ÷ 32/ 2 * 64

2^12 * 2^4 ÷ 2^5/2^1 * 2^6

2^12 + 4 -5/2^1 + 6

2^16 -5/2^7

2^11/2^7

2^11 - 7

2^4

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Answer:

1. 1800 square cm.

2. See below

3. 45000 square cm.

Explanation:

Part 1

The dimensions of the drawing are 36cm by 50cm.

Part 2

Given a scale factor, k

If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.

Part 3

Therefore, the area of the actual drawing will be:

In this problem m and n are parallel lines, and the first angle is an exteriar angle an the secon is a interior angle.

this two condition give us that the two angles are complementary anlges so the sum of them should be 180 so:

and we can solve for x so:

We fill the table as follows:

*We assign values for x and solve for y, that is:

*x = 0:

So, the value of y when x = 0 is 5.

*x = 1:

So, the value of y when x = 1 is 2.

*x = 2:

So, the value of y when x = 2 is -1.

*x = 3:

So, the value of y when x = 3 is -4.

***The table should look like this:

x | y

0 | 5

1 | 2

2 | -1

3 | -4

***The graph is:

Given to solve the expression:

step 1: Expand the bracket by multiplying each term by the factor outside

step 2: Simplify the expression obtained in step 1

by definition the division of fractions can be found by

According to this

Solution

- This is a Binomial probability question. The formula for Binomial probability is:

- We have been given:

- Thus, we have:

Final Answer

The answer is

Answer:

Explanation:

Given the equation:

When x=6:

She will make 16 boxes.

To answer this question we simply have to divide the number of cookies (132) by the number of cookies that each box can contain.

Mathematically speaking:

Since we can´t have half boxes, we have to round the number to 16.

16 boxes.

For the given function, The following are true statements:

It may be seen from the graph below that

The g function's graph is 4 units higher than the parent exponential function's graph.

All of the input values for which the function is defined are referred to as the function's domain. The domain of the function is (-, ∞ ) according to the graph of function g.

The location where a function's graph crosses the y-axis is known as the y-intercept. G's graph crosses the y-axis at (0, 4). As a result, the Function g's y-intercept is (0,4).

growing function g across the range (- ∞, 0).

Function output values are referred to as the function's range. It can be seen from the graph that the range of function g is (3, ∞ ).

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In order to have a 90º angle (right angle) the length of the line with banners needs to fullfit the Pythagorean theorem: In a right triangle the squared hypotenuse is equal to the sum of the legs squared:

In the given situation the hypotenusa is the line with banners, and the legs are the pole and the 8ft ground from the base of the pole to the end of the line with banners:

h= x

l= 15ft

l= 8ft

Solve the equation to find the value of x:

Supplementary angles are angles whose addition sums up to 180 degrees.

Therefore, if angle 1 measures 120, then its supplement which is angle 2, must mean both add up to 180.

Hence, you have

Angle 1 + Angle 2 = 180

120 + Angle 2 = 180

Subtract 120 from both sides of the equation

Angle 2 = 180 - 120

Angle 2 = 60 degrees

By definiton, two angles are complimentary angles if they both add up to 90 degrees. Hence if angle L5 equals 50 degrees, then its compliment would be derived as 90 - 50 which equals 40. The compliment of angle L5 which is 50 degrees, equals 40 degrees.

To verify that something is a function, we use the horizontal line rule. That is, if the horizontal line passes through two points, then the graph is not a function, like this:

Then the circles and the ellipses are not functions. Then the functions in the problem would be:

1, 3 and 6.

Step-by-step explanation:

make the fractions decimals and put them on the plot

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient is -6 with the following factors (possible values for p):

The leading coefficient is 1, with factors:

Therefore, all the possible values of p/q are:

Simplifying, the possible rational roots are:

Next, we have to check if they are roots of the polynomials by synthetic division, in which the remainder should be equal to 0.

0. Dividing ,f (x), by ,x−1,. Remainder = ,-8, ,+1, is ,NOT ,a root.

1. Dividing ,f (x), by x+,1,. Remainder = 0, ,-1, ,IS ,a root.

2. Dividing ,f (x), by x-2. Remainder = 0, ,+2, ,IS ,a root.

3. Dividing ,f (x), by ,x+2,. Remainder = ,4, ,-2, is ,NOT ,a root.

4. Dividing ,f (x), by ,x−3,. Remainder = 24,, ,+3, is ,NOT ,a root.

5. Dividing ,f (x), by ,x+3,. Remainder = 0,, ,-3, IS ,a root.

6. Dividing ,f (x), by ,x−6,. Remainder = 252,, ,+6, is ,NOT ,a root.

7. Dividing ,f (x), by ,x+6,. Remainder = -120,, ,-6, is ,NOT ,a root.

Actual rational roots: A. -3, -1, 2; f(x) = (x + 3)(x + 1)(x - 2)

Answer:

Approximately 5.2 meters

Step-by-step explanation:

This formation will make a right triangle. The ground to the point in the tree is one of the legs. The base of the tree to the base of ladder is another leg and the length of the ladder is the hypotenuse. In this case, we already have the hypotenuse and one of the legs, so we need to find the value of another leg.

We can do so by using the Pythagorean Theorem which is [tex]a^2+b^2=c^2\\[/tex].

a and b represent the values of the two legs, and c is the hypotenuse. Since we already have the hypotenuse, we can change this equation a bit to find the other leg.

Let's assign the missing value, b in the theorem.

The new equation will be [tex]b^2=c^2-a^2[/tex].

We can insert the values for c and a and solve for b.

The new equation will be [tex]b^2 = 14^2-13^2[/tex].

[tex]b^2=196-169[/tex]

[tex]b^2=27[/tex]

[tex]\sqrt{b^2} =\sqrt{27}[/tex]

The square root of [tex]b^2[/tex] cancels out.

The approximate square root of 27 is 5.19 which we can round to 5.2.

ok

speed = distance / time

time = distance/speed

or

A.

Overall it has a relation that there are more sold cups when the temperature is lower. On the other hand, based on the 40 degrees part, that have to different values of two different days, we can say is not the only factor.

B.

The best lineal approach is the line created with the points at 20 and 80 degrees. First the slope:

Now the intercept with y axis, b:

The final line formula is: