All categories

2 years ago

Find the value of x. 3) 2x (x + 21)

Mathematics

1 answer:

Xelga [282]2 years ago

5 0

To find the x-intercept, substitute in

for

and solve for

. To find the y-intercept, substitute in

for

and solve for

x-intercept(s):

(

)

(

−

)

y-intercept(s):

(

)

You might be interested in

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

What are the factors of the quadratic function graphed below?

natulia [17]

Answer:

Step-by-step explanation:

The zeros of the quadratic occur at x = 0 and x = 6

Thus the factors are x and x - 6

4 0

3 years ago

Elijah used 17 connecting cubes to make a model kitchen. the kitchen model is in the shape of a rectangle and is one cube high.

Archy [21]

There is only one way, a rectangle that is one block by 17 blocks. This is because the only factors of 17 are 1 and 17.

5 0

3 years ago

Read 2 more answers

What is the solution to the system of linear equations shown? picture attached

OLga [1]

Answer: C (0,3) because the two lines meet at the point (0,3)

7 0

3 years ago

What is the lowest prime number 2,3,4,5 please help

just olya [345]

Answer:

the answer is 2 hope this helps :>

3 0

3 years ago

Find the value of x. 3) 2x (x + 21)​

Find the value of x. 3) 2x (x + 21)