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3 years ago

How do you find x and y

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

First, you have to know the properties of a 30 60 90 triangle:

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The difference between the solutions to the equation x2 =a is 30 what is a ?

Mademuasel [1]

Given equation is $x^2 = a$

In general solution of $x^2 = b$ is $x = + \sqrt{b}$ and $x = - \sqrt{b}$

So the solution of given equation is $x = + \sqrt{a}$ and $x = - \sqrt{a}$

Now difference between them is 30.
So we can write
$\sqrt{a} - (- \sqrt{a}) = 30$
$\sqrt{a} + \sqrt{a} = 30$
$2 \sqrt{a} = 30$
$\sqrt{a} = 15$

On squaring both side
$( \sqrt{a})^2 = (15)^2$
$a = 225$

4 0

4 years ago

Coefficient of b in expansion of (3+b)^4

Margarita [4]

Are you sure you want ONLY the coefficient of b? If you expand this, you will have b in 3 of 4 terms.

According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:

1
1 2 1
1 3 3 1
1 4 6 4 1

So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Here, you want (3 + b)^4. Here's what that looks like:

3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]

Which coeff did you want?

4 0

3 years ago

Which of the following statements is true? a. b. c. d.

ludmilkaskok [199]

Answer:

confused on what you are asking

Step-by-step explanation:

3 0

3 years ago

If possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.

romanna [79]

Answer:

Option C.

a = 20.3

Step-by-step explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines, $a^2 = b^2 + c^2 - 2bcCosA$

Plug in the values into the equation:

$a^2 = 16^2 + 32^2 - 2(16)(32)Cos32$

$a^2 = 1,280 - 1,024*Cos32$

$a^2 = 1,280 - 868.40125$

$a^2 = 411.59875$

$a = \sqrt{411.59875}$

$a = 20.3$ (nearest tenth)

4 0

3 years ago

Can someone help? Thanks :D

Rufina [12.5K]

Answer:

$y\leq -x+4$

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be $y=-x+4$

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that $y\leq -x+4$ would be the equation for this inequality.

3 0

3 years ago