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3 years ago

Please look at this multiple choice, thanks!

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Step-by-step explanation:

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1}$

$\frac{y - 0}{x - ( - 1)} = \frac{3 - 0}{1 - ( - 1)}$

$\frac{y}{x + 1} = \frac{3}{1 + 1}$

$\frac{y}{x + 1} = \frac{3}{2}$

$y = \frac{3}{2} (x + 1)$

$y = \frac{3}{2} x + \frac{3}{2}$

option B

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What is the area of the rectangle? shoe your work! do not round anything until the very end and round your final answer to the t

weeeeeb [17]

Answer:

The area of the rectangle is 42 units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

AB=DC

BC=AD

see the attached figure with letters to better understand the problem

we have that

$L=BC\\W=AB$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

$A(2,-1),B(5,2),C(12,-5),D(9,-8)$

<em>Find out the distance BC</em>

we have

$B(5,2),C(12,-5)$

substitute in the formula

$d=\sqrt{(-5-2)^{2}+(12-5)^{2}}$

$d=\sqrt{(-7)^{2}+(7)^{2}}$

$d_B_C=\sqrt{98}\ units$

<em>Find out the distance AB</em>

we have

$A(2,-1),B(5,2)$

substitute in the formula

$d=\sqrt{(2+1)^{2}+(5-2)^{2}}$

$d=\sqrt{(3)^{2}+(3)^{2}}$

$d_A_B=\sqrt{18}\ units$

<em>Find out the area</em>

$A=(L)(W)$

we have

$L=d_B_C=\sqrt{98}\ units$

$W=d_A_B=\sqrt{18}\ units$

substitute

$A=(\sqrt{98})(\sqrt{18})=42.0\ units^2$

4 0

3 years ago

Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and s

enot [183]

Answer:

$g(x) = log(2x+2)$

Step-by-step explanation:

<em>The question has missing options ; However, the question is still solvable</em>

Given

$f(x) = log2x$

Direction = 2 units left

Required

Shift the function by 2 units in the x axis

The general format of shifting a function along the x axis (by the left) is as follows

$g(x) = log(ax+c)$

Where c represents the direction;

$c = 2$

Since $f(x) = log2x$ , then

$g(x) = log(2x+2)$

8 0

3 years ago

Read 2 more answers

How many 5-digit palindromes contain only even digits?

34kurt

Answer:

The correct answer is - 900

Step-by-step explanation:

A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.

An n-digit palindrome is determined from the first n/2 digits if n is even, and from the first n+1/2 digits if n is odd.

Therefore, if n is even, there are 9×10⁽n⁻²/²⁾ palindromes; and if n is odd, there are 9×10⁽n₋²/²⁾ palindromes. where n is number of digits.

For n=5 , there are 9×10²=900 palindromes

3 0

3 years ago

If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.

pishuonlain [190]

<h3>Solution and Explanation:</h3>

If $p$ and $q$ are directly proportional, then they must have a common scalar.

To find $q$ we must first find its scalar. If we let $a$ be the scalar we can form the equation, $ap = q$ .

We are given the information that if $q = 7.5$ then $p = 9$ . We can use that in finding the scalar.

$a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}$

Now we can solve for $q$ when $p = 24$ knowing that our scalar is $\frac{15}{18}\\$ .

$ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q$

<h3>Answer:</h3>

$q = 20$ when $p = 24$

4 0

2 years ago

Do any body know this need help over here

TiliK225 [7]

The answer It’s either A or B

4 0

3 years ago

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