Triangle ABC is a right triangle with legs AB and AC. Points X and Y lie on legs AB and AC, respectively, so that AX:XB=AY:YC=1:2. If BY=16 units and CX=28 units, what is the length of the hypotenuse BC? Express your answer in simplest radical form.

Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x - 6 = 3

3x = 9

x = 3

Direct variation is represented by the formula [tex]\frac{y}{x} = k[/tex]

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.

Answer:

evaluate the function with -3 as x value

Step-by-step explanation:

4(-3) + 5

-12 + 5

= -7

Answer:

The answer is -7

Step-by-step explanation:

Use the given functions to set up and simplify  f ( − 3 ) .

Hoped this helped!

brainly, please?

Answer:

1/2 < 3/5 < 2/3 < 5/6 least to greatest

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry need the points

Answer:

∠D = 52º

∠E = 32º

∠F = 96º

Step-by-step explanation:

the sum of interior angles of a triangle equals 180º

so: (x + 20) + (3x) + 32 = 180

     3x + x + 20 + 32 = 180                  combine like terms

     4x + 52 = 180                                subtract 52 from both sides

     4x = 128                                         divide both sides by 4

     x = 32

plug x into each angle measure to get them:

∠D = (32) + 20 = 52º

∠E = 32º (given)

∠F = 3(32) = 96º

Answer:

135

Step-by-step explanation:

The measure of the angle KSO is 135°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65

We know that, opposite angles of a parallelogram are equal,

Therefore, ∠ ORK = 70°

In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,

We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Therefore, ∠ KSO = ∠ ORK + ∠ ROS

∠ KSO = 135°

Hence, The measure of the angle KSO is 135°

For more references on parallelogram, click;

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Answer:

9

Step-by-step explanation:

Answer:

11 : 8

Step-by-step explanation:

3 + 8 = 11

Answer:

11:8

Step-by-step explanation:

I think i may be wrong I hope this is right

Answer:

The equation are true.

Step-by-step explanation:

Given

[tex]m * (-1) = m / (-1)[/tex]

Required

True or false?

We solve this question from right to left:

[tex]m * (-1) = m / (-1)[/tex]

Express / as *

[tex]m * (-1) = m * 1/(-1)[/tex]

[tex]m * (-1) = m * (-1)[/tex]

The expression on both sides of the equation are true.

Answer:

6/35

Step-by-step explanation:

6/5÷7/1=6/5 x 1/7 = 6/35

Answer:

6/35

Step-by-step explanation:

Answer:

[tex]f(x)=5(4)^x[/tex]

Step-by-step explanation:

The exponential function is [tex]f(x)=ab^x[/tex].  [tex]a[/tex] is the initial value of the function, or the y-value when x=0. In this case, [tex]a[/tex]=5. If we enter that into the equation:

[tex]f(x)=5b^x[/tex]

Then we can use another point to solve for [tex]b[/tex].

[tex]20=5b^1[/tex]

Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.

[tex]20=5b\\\frac{20}{5}=\frac{5b}{5}\\b=4[/tex]

Now that we have both the [tex]a[/tex] and [tex]b[/tex] value, we can return to the exponential function and fill in the blanks.

[tex]f(x)=5(4)^x[/tex]

I hope this helps!

Answer:

0.9

Step-by-step explanation:

Answer:

See below, I will let graphing part to yourself.

Step-by-step explanation:

First function: domain: [tex][-9,\infty)[/tex], range: [tex](-\infty, -2][/tex], decreasing

Second function: domain: [tex](-\infty, \infty)[/tex], range: [tex](-\infty, \infty)[/tex], increasing

Third function: domain: [tex][3, \infty)[/tex], range: [tex][-5,\infty)[/tex], increasing

Answer:

First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing

Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing

Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing

Answer:

-3,2   -2,4  1,-1

Step-by-step explanation:

Answer:

9.4 secs

Step-by-step explanation:

From Newton's law of cooling;

T(t) = Ts + Do e^-kt

Where;

D0= initial temperature difference

Ts= Temperature of the surroundings

t= time

K = positive constant

Do = 185 - 60 = 125 degrees

167 = 60 + 125 e^-3k

167 - 60 = 125 e^-3k

107/125 = e^-3k

ln(e^-3k) = ln(107/125)

-3k = -0.1555

k = 0.1555/3

k = 0.0518

Substituting the value of k to find the time taken to reach 137 degrees

T(t) = Ts + Do e^-kt

137 = 60 + 125 e^-(0.0518t)

137 - 60 = 125 e^-(0.0518t)

77 = 125 e^-(0.0518t)

e^-(0.0518t)= 77/125

ln [e^-(0.0518t)] = ln(77/125)

-0.0518t = -0.4845

t = 0.4845/0.0518

t = 9.4 secs

Step-by-step explanation:

this is what I use go to your app store and get Math. way and type your answer in

Answer:

a)  (c + 2)²

b)  (x + 2)(x - 4)

c)  (g + 2)(g + 6)

d)  (x + 2)(x - 9)

e)  (r + 9)(r + 1)

f)  (x - 6)(x - 4)

Step-by-step explanation:

Answer:

B. The change in the total amount if money for every one additional ride she goes on

Step-by-step explanation:

Given,

y = 26 + 1.5x, where,

y = total amount of money Eva will spend

x = number of rides Eva rides on

Thus,

Set price of admission into the amusement park = $26

Price per ride = $1.5

Therefore, the 1.5 I'm the equation can be said to be "the change in the total amount if money for every one additional ride she goes on".

Step-by-step explanation:

the answer is

3+5x=3

5x=0

x=0

Answer:

quiero

Step-by-step explanation:

Answer:

4x+1

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

20%

Step-by-step explanation:

If it was 0.3 it would be 30% or if it was .35 it would be 35%.

0.3 is another way of writing 0.30 but since it's just a zero, you don't really have to write 30.

Answer:

Good luck your so lucky

Step-by-step explanation:

Answer:

0.5x⁴ - 9.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

0.5(x⁴ - 5) + 12

Step 2: Simplify

Answer:-3

Step-by-step explanation: