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2 years ago

What is the value of x?

Mathematics

1 answer:

kipiarov [429]2 years ago

7 0

First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3

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Factorise 6x^2 - 21x

astraxan [27]

6x^2 - 21x = 3x(2x - 7)

hope it helps

7 0

2 years ago

6m + 17 is greater then or equal to 77 (HELP WILL GIVE BRAINLIST)

emmasim [6.3K]

6m> 60

m>10

m is greater than or equal to 10

6 0

2 years ago

Read 2 more answers

Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

Noah saw some worms in his garden. He measured the length of each worm.

sergeinik [125]

Answer:

9 worms are longer than 3 inches

Step-by-step explanation:

you can just count how many are in in the rows after 3 and that is your answer

5 0

2 years ago

Solve. X = -7 4x - 4y = 12 (x,y)

Fynjy0 [20]

Answer:

(-7, -10)

$x=-7\\y=-10$

Step-by-step explanation:

$4x-4y=12$

Substitute x for -7.

$4(-7)-4y=12$

Multiply 4 by -7.

$-28-4y=12$

Add 28 on both sides.

$-4y=40$

Divide -4 on both sides.

$y=-10$

4 0

3 years ago