Find the value of the discriminant. Then describe the number and type of roots

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$

Simplify exponents:

$a^2+225=289$

Isolate the variable. Subtract 225 from both sides:

$a^2+225-225=289-225\\a^2=64$

Find the square root of both sides:

$\sqrt{a^2}=\sqrt{64}\\ a=8$

The missing leg length is 8.

7 0

3 years ago

What numbers are 1.4 units from −3.2 on a number line? pick one from both sets of answers

Fantom [35]

First, add 1.4 to the number given.

-3.2 + 1.4 = 1.4 - 3.2 = -2.2

a.-2.2 is one of your answer

Next, subtract 1.4 to the number given

-3.2 - 1.4 = -4.6

a.-4.6 is your next answer

a. -2.2, a. -4.6 are your two answers

hope this helps

8 0

3 years ago

The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so,

NARA [144]

no, more than one triangle could be made with these measures

sss

6 0

3 years ago

How many solutions does -3x+9-2x=-12-5x have

Neko [114]

Answer:

-27+6x=-12-5x

Step-by-step explanation:

It has one solution

8 0

3 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

4 years ago