Angles that share a vertex, but not a side are called?

How can I find the exact distance between the points(√7,-√2)and (4√7,5√2)

chubhunter [2.5K]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ \sqrt{7}}}\quad ,&{{ -\sqrt{2}}})\quad 
% (c,d)
&({{4\sqrt{7}}}\quad ,&{{ 5\sqrt{2}}})
\end{array}~~~
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
$

$\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2}
\\\\\\
d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2}
\\\\\\
d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135}
\\\\\\
\begin{cases}
135=5\cdot 3\cdot 3\cdot 3\\
\qquad 5\cdot 3^2\cdot 3\\
\qquad 15\cdot 3^2
\end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}$

8 0

3 years ago

9. If each of the following pairs represents a pair of equivalent rational

Oksi-84 [34.3K]

Answer:

-35/6

Step-by-step explanation:

We need to find the value of x , And the given pair of Rational numbers are equal.

Question (I) :-

→ 3/4 = 7/x

→ 7/x = 3/4

→ 1/x = 3/4 × 1/7

→ 1/x = 3/28

→ x = 28/3

Question (ii) :-

→ x/7 = -5/6

→ x = -5/6 × 7

→ x = -35/6

<h3>• Hence the value of x is -35/6 .</h3>

7 0

3 years ago

Please help due tmmr please help

Amanda [17]

Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

4 0

2 years ago

What is 15 over 100 simplefird?

bulgar [2K]

15/ 100
To simplify divide both by 5
15/100 / 5 = 3/20

6 0

3 years ago

The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?

Rufina [12.5K]

X has to be higher than 1. 5-3 is 2, which is equal to two but not greater than. X cannot be less than 1. To show this in an inequality:

x $\geq$ 1