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3 years ago

How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

There are two numbers 10 units from zero on the number line. These are 10 and -10.

Step-by-step explanation:

On a number line, if you move a pointer ten units right and left you will land on 10 and -10.

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What is the slope of the line represented by the equation y = –1/2x+1/4?

max2010maxim [7]

Answer:

A. -½

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, m represents the rate of change [slope], so in this case, the slope is -½.

I am joyous to assist you anytime.

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3 years ago

Find the solution to the system of equations graphed here.

tiny-mole [99]

This can be solved by finding their point of intersection on the graph, which is at point (1,3).

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3 years ago

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Write the steps you would use to solve the following quadratic equation (X+3)²=6. Show two different methods.

Aliun [14]

X^2+6x+9 that is one method

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3 years ago

Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder.

jeka57 [31]

Answer:

Step-by-step explanation:

Let n be unknown divisor and a be the same remainder, then

$63=q_1\cdot n+a\\ \\45=q_2\cdot n+a\\ \\69=q_3\cdot n+a$

Subtract a from all equalities:

$63-a=q_1\cdot n\\ \\45-a=q_2\cdot n\\ \\69-a=q_3\cdot n$

Subtract them:

$63-45=(q_1-q_2)n\Rightarrow 18=(q_1-q_2)n\\ \\69-63=(q_3-q_1)n\Rightarrow 6=(q_3-q_1)n\\ \\69-45=(q_3-q_2)n\Rightarrow 24=(q_3-q_2)n$

The greatest number is 6. When you divide numbers 63, 45, 69 by 6, you'll get remainders 3, 3, 3, respectively.

7 0

3 years ago

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

NISA [10]

Answer: $A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

Step-by-step explanation:

Given

Two curves are given

$y=10 x^2$

and $y=x^2+2$

the two curves intersect at

$10x^2=x^2+2$

$x=\pm \frac{\sqrt{2}}{3}$

to get the we need to integrate the curves over x axis

$A=\int_{-\frac{\sqrt{2}}{3}}^{\frac{\sqrt{2}}{3}}\left ( x^2+3-10x^2\right )dx$

$A=2\int_{0}^{\frac{\sqrt{2}}{3}}\left ( 3-9x^2\right )dx$

$A=2\left [ 3\left ( \frac{\sqrt{2}}{3}\right )-\frac{9}{3}\left ( \frac{\sqrt{2}}{3}\right )^3\right ]$

$A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]$

$A=\frac{14}{9}\cdot \sqrt{2}\ unit^2$

3 0

3 years ago

How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.​

How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.