Solve for x and y in the diagram below

Answer:

x = 7/12

Step-by-step explanation:

Write the expression in exponential form with the base of 2

[tex]2x^{3x-3}[/tex]  = [tex]32^{3x-2}[/tex]

[tex]2^{3x-3}[/tex]  = [tex]2^{15x-10}[/tex]

Since the bases are the same, set the exponents equal

x - 3 = 15 - 10

Move variable to the left-hand side and change its sign

3x - 15x - 3 = -10

Move constant the the right-hand side and change its sign

3x - 15x = -10 + 3

Collect like terms

-12x = -10 + 3

Calculate the sum

-12x = -7

Divide both sides o the equation by -12

x = 7/12

Solution

7/12

Alternate form

x = 0.583

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer:

[tex]k(x)=(x-4)(x+6)[/tex]

Step-by-step explanation:

[tex]k(x)=(x+1)^2-25\\\\[/tex]

to factorize it you have to remember the difference of squares that says

[tex]a^2-b^2=(a-b)(a+b)[/tex]

so we have

[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]

and we apply the formula

[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]

so there you have it

[tex]k(x)=(x-4)(x+6)[/tex]

From the diagram, ∠3 and ∠7 can be seen to be corresponding angles.

The term corresponding angles are those angles that are formed on the same sides when we have two lines that have been cut by a transversal.

Having known what is meant by corresponding angles, we can now look at the image to identify which angles are  corresponding angles. Clearly, ∠3 and ∠7 can be seen to be corresponding angles.

Learn more about corresponding angles:https://brainly.com/question/1597341

#SPJ2

Answer:

A,B,D, and F!

Step-by-step explanation:

here are the right ones

Angle1 and Angle3

Angle2 and Angle4

Angle5 and Angle7

Angle8 and Angle6

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

∴ (6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

∴ (15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

∴ 30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

∴ -30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

∴ y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

∴ x = 4

Answer:

-140 = x

Step-by-step explanation:

Answer:

-140 =x

Step-by-step explanation:

Answer:

is that even a real equation?

i am gonna have to go with B

Answer:

x=-1

Step-by-step explanation:

-2(x-6)=x+5

-2x-(-12)=x+5

-2x+12=x+15

-2x -----^

x+2x=3x

+15 turns into minus 15

12-15= -3

-3=3x

-1=x

Answer: 7/3 or 2.333333333

Step-by-step explanation:

Distribute -2 to x and -6

-2x + 12 = x + 5

Subtract x from both sides

-3x + 12 = 5

Subtract 12 from both sides

-3x = -7

Divide -3 from both sides

X= 7/3 or 2.333333333

Answer:

36 is the lcm of this question

Answer:

the answer is 40

Step-by-step explanation:

its simple try and do the link that I put you'll understand how to do this better

Answer:

2

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

The awnser to your question is 2

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766

Step-by-step explanation:

Answer:

thank u

Step-by-step explanation:

Answer:

the answer is 9 so yeah.....

Answer:

It will take her about 25 minutes.

Step-by-step explanation:

30 divided by 3 is ten.

It takes ten minutes to run each miles.

I don't have a diagram, but try drawing a graph with the information.  

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

Answer:

15

Step-by-step explanation:

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

Answer:

Step-by-step explanation:

A perpendicular line has a negative reciprocal of the line it is perpendicular to.

y = [tex]\frac{3}{4}[/tex][tex]x[/tex] - 6

Since the slope of that line is [tex]\frac{3}{4}[/tex], the line perpendicular to that will have the slope of [tex]-\frac{4}{3}[/tex].

Now let's plug the slope into the slope-intercept equation.

y = mx + b

y = [tex]-\frac{4}{3}[/tex][tex]x[/tex] + b

Next, we need to find the y-intercept (b), to get to the equation.

TO FULLY SOLVE THIS, I WOULD NEED TO KNOW ONE POINT OF THE PERPENDICULAR LINE!

Please let me know if there is another point that way I can help you! <3

Answer: we cant use any patterns

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

I got it right on I-Ready

The required simplified value of the given expression is 21.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here, given expression,
= 2b³+5

Now put b = 3
= 2(2)³ + 5
= 2(8) + 5    [since 2³ = 8]

= 16 + 5
= 21

Thus, the required simplified value of the given expression is 21.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

9

Step-by-step explanation:

Answer:

y=-1/2x+3

Step-by-step explanation: