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2 years ago

Write the equation of the line given the two points. (1,-2) and (1,5)

Mathematics

1 answer:

Vinvika [58]2 years ago

6 0

Answer:

x=1

Step-by-step explanation:

y=mx+b

5--2/1-1

7/0

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Factor: -12n - 20 they are asking for an expression

katen-ka-za [31]

Answer:

-4(3n+5)

Step-by-step explanation:

Factored -4 out of -12n-20. Let me know if this answers the question!

5 0

3 years ago

George wrote an integer. The opposite of George's integer is - 53. Which of these statements about George's integer must be true

Readme [11.4K]

Answer:

D I and IV

Step-by-step explanation:

The opposite of an integer "x" is "-x".

I. The integer is 53. → Since the opposite of George's integer is -53, the integer is -(-53) = 53

II. The integer has an absolute value of - 53. → The absolute value of 53 is 53.

III. The integer is - 53. → It was 53, found in I.

IV. The integer has an absolute value of 53. → It has an absolute value of 53, found in II.

8 0

3 years ago

Evaluate (98 x 102) by using suitable identities.

GREYUIT [131]

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x ^2 +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100 ^2 +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

8 0

3 years ago

Read 2 more answers

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.

8 0

3 years ago

Read 2 more answers

The next number in the arithmetic sequence 15, 22, 29, is: A) 34 B) 35 C) 36 D) 37

harkovskaia [24]

ANSWER: C) 36
EXPLANATION: +7 is the sequence

4 0

2 years ago