Next, find the length of BC. Place point F at (4,4), and draw BF and FC. Find BF and FC using the coordinates of B, C, and F. Then use the Pythagorean Theorem to find BC.

Answer:

[tex]2[/tex]

4th Answer is Correct

Step-by-step explanation:

[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]

Answer:

x = 0.5

Step-by-step explanation:

When we add up the distance between the apartment and park with the distance between the park and the coffee shop, the total will equal nine miles.

Our equation will look like this:

(5x + 2) + (25x - 8) = 9

Add up the like terms

5x + 2 + 25x - 8 = 9

30x - 6 = 9

Add 6 to both sides

30x - 6 = 9

      + 6  + 6

30x = 15

Divide both sides by the coefficient, 30, to isolate the variable, x

30x/30 = 15/30

x = 15/30

Reduce

x = 1/2

Answer:

It's going to take you 17 min to travel 12 miles

assuming you are going with mph

Step-by-step explanation:

I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.

Answer:

Option C, 832 units²

Step-by-step explanation:

l = 8

w = 7

h = 24

Surface area = 2(wl+hl+hw)

=2×(7×8+24×8+24×7)

=832 units²

Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!

Answer:

B.) 3

Step-by-step explanation:

Interest = prinipical ^ interest rate ^ year

60 = 400 ^ 5% ^ year

year = 60/400^5%

3years

Answer:

30 centimeters

Step-by-step explanation:

true

Answer:

X=7.9

Y=7.9

Step-by-step explanation:

We have that x=y

And form Pythagoras theorem we have

[tex]5 \sqrt{5} = \sqrt{x ^{2} + x ^{2} } \\ take \: the \: square \: of \: the \: two \: sides \\ 125 = 2x ^{2} \\ x {}^{2} = 62.5 \\ x = 7.9[/tex]

So x = y = 7.9

Answer:

-12

Step-by-step explanation:

The average rate of change is found by

f(4) - f(2)

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

4-2

32 - 56

----------

4-2

-24

------

2

-12

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Answer:

l=30

or

22 it is the coret anser

Answer:

Step-by-step explanation:

I'm assuming that strange looking thing is a 9, so begin by multiplying both sides by that denominator to get:

[tex]x-9=\sqrt{x}+3[/tex] then subtract 3 from both sides to get

[tex]x-12=\sqrt{x}[/tex] and then square both sides to get

[tex]x^2-24x+144=x[/tex] and get everything on one side to solve for x by factoring:

[tex]x^2-25x+144=0[/tex] and factor that however it is you have learned to factor second-degree polynomials to get that

x = 16 and x = 9. We have to check for extraneous solutions because anytime you manipulate an equation, as we did by squaring both sides, you run the risk of these solutions that actually don't work when you plug them back into the original equation. Let's try 16 first:

[tex]\frac{16-9}{\sqrt{16}+3 }=1[/tex]  If 16 is a solution, then this statement will be mathematically true.

[tex]\frac{7}{4+3}=1[/tex]  and   [tex]\frac{7}{7}=1[/tex] so 16 works. Let's try 9:

[tex]\frac{9-9}{\sqrt{9}+3 }=1[/tex]  We know that one doesn't work, because 9-9 = 0 and 0 over anything = 0, not 1.

x = 16 is the only solution.

Answer:

x =  16

Step-by-step explanation:

[tex]\frac{x-9}{\sqrt{x}+3}=1[/tex]

Cross multiply,

x - 9 = √x + 3

Subtract 3 from both sides

x - 9 - 3 = √x

x - 12 = √x

Square both sides

(x -12)² = (√x)²

x² - 2 * x*12 + 12² = x

x² - 24x + 144 = x

x² - 24x + 144 - x = 0

x² - 25x + 144 = 0

Sum = -25

Product = 144

Factors = -9 , -16            {(-9)+(-16) = -25  & (-)*(-16) = 144}

x² - 25x + 144 = 0

x² - 16x - 9x + (-9)*(-16) = 0

x(x - 16) - 9(x - 16) = 0

(x - 16) (x - 9) = 0

x - 16 = 0     ; x - 9 = 0

x = 16          ; x = 9

x = 9 is  an extraneous solution.

When we plug in 9 in the LHS of the equation,

LHS = [tex]\frac{9-9}{\sqrt{9}+3}[/tex]

       [tex]= \frac{0}{3+3}[/tex]

        = 0 ≠ RHS

So, x = 16 is the only  solution

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.

Must click thanks and mark brainliest

Answer:

[tex]13\ units[/tex]

Step-by-step explanation:

One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:

[tex]k\ (-3,5)[/tex]

[tex]j\ (-8, -7)[/tex]

Substitute these points into the formula and solve for the distance between these points,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

Simplify,

[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]

[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]

[tex]D=\sqrt{(5)^2+(12)^2[/tex]

[tex]D=\sqrt{25+144}[/tex]

[tex]D=\sqrt{169}[/tex]

[tex]D=13[/tex]

Step-by-step explanation:

< i'll use this too represent angle

this is only presuming that this is a parallelogram and i also don't know what those numbers mean

< ACB = < CAD         (alt <s of DA II CB)             A

< ACD = < CAB        (alt <s of DC II AB)              A

AB is common                                                     S

therefore, ∆ADC is congruent to ∆CBA

if ∆ADC is congruent to ∆CBA

then < ADC = < CBA

Answer:

root 3/4

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Because its a triangle,

P + Q + R = 180

So,

P + 70 + 45 = 180

P + 115 = 180

Subtract 115 on both sides

P = 65

Answer:

D, F, E

Step-by-step explanation:

As the legs and hypotenuse are equal, HL can be used. All the sides are equal so SSS can be used. Two pair of sides and 90 degrees are equal so SAS can be used

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6

Answer:

6.5 miles per day

Step-by-step explanation:

Take the number of miles and divide by the number of days

39 miles/ 6 days

6.5 miles per day

Answer: 6.5 miles per day is correct

Step-by-step explanation:

You would just need to divide 39 by 6 to find the total miles per day. Therefore C: 6.5 is correct!

Answer:

definetely 2

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.

Hope this helps! :)

Answer:

That is the graph for y = -|x| + 3

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.

Answer:

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

In this question, we have to find an equation for two lines, depending on the input x, which creates the following piecewise function for this graph:

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

Equation of a line:

The equation of a line is given by:

[tex]y = mt + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

This situation:

x between 0 and 10:

From here, we can take two points (t,y). I will take (0,0) and (10,10).

From point (0,0), we get that when [tex]x = 0, y = 0[/tex], which means that the y-intercept is [tex]b = 0[/tex], thus:

[tex]y_1 = mt[/tex]

To find the slope, when we have two points, it is given by change in y divided by change in t, so:

Change in t: 10 - 0 = 10

Change in y: 10 - 0 = 10

Slope: [tex]m = \frac{10}{10} = 1[/tex]

Thus, the first definition is:

[tex]y_1 = t, 0 \leq t < 10[/tex]

x between 10 and 20:

I will take the points (10,10) and (20,0).

First, we find the slope:

Change in t: 20 - 10 = 10

Change in y: 0 - 10 = -10

Slope: [tex]m = \frac{-10}{10} = -1[/tex]

Thus:

[tex]y_2 = -t + b[/tex]

For the intercept, we have point (20,0), which means that when [tex]t = 20, y = 0[/tex]. So

[tex]0 = -20 + b[/tex]

[tex]b = 20[/tex]

Thus, the second definition is:

[tex]y_2 = -t + 20, 10 \leq t \leq 20[/tex]

Write an equation for the graph.

We use the two definitions, that is:

[tex]y = y_1, 0 \leq t \leq 10, y_2, 10 \leq t \leq 20[/tex]

So

[tex]y = t, 0 \leq t \leq 10, -t + 20, 10 \leq t \leq 20[/tex]

A similar question can be found at https://brainly.com/question/16024991

Answer:

Domain is the whole R and the range is R+. The domain is continuous

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

Answer:

A. 11.18

Step-by-step explanation:

(1, -2) will be x1 and y1.

(-9, 3) will be x2 and y2

The formula is

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute in all the variables.

[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]

Solve.

[tex]\sqrt{(-10)^2+5^2}[/tex]

[tex]\sqrt{100+25}[/tex]

[tex]5\sqrt{5}[/tex]

11.18033988.....

I hope this helps!

pls ❤ and mark brainliest pls!