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3 years ago

Which number line shows an integer and its opposite?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

An integer is a whole number (not including 0). An integer's opposite can be found by adding a negative sign to the front of it. A negative integer's opposite would be positive, while a positive integer's opposite would be negative.

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7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

6 0

4 years ago

Evaluate 1/4 c + 3d when c = 6 and d = 7

Naddika [18.5K]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Evaluate 1/4c+3d when c=6, and d=7.

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

Replace c with 6, and d with 7:-

$\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}$

$\bigstar$ On simplification,

$\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4} +21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}$

$\bigstar$ Adding the numerators,

$\Large\text{$\displaystyle\frac{90}{4}$}$

$\bigstar$ Finally, Reducing the fraction:-

$\Large\text{$\displaystyle\frac{45}{2}$}$

$\Uparrow$ $\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}$

<h3>Good luck with your studies.</h3>

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

8 0

2 years ago

Read 2 more answers

Solve for AB a: 3.6 b: 15 c: 4 d: 10

IrinaK [193]

A because 9 divided by 15 equals 0.6. Then I multiply 0.6 times 6 which equals 3.6. I didn’t 9 divided by 15 because they are congruent.

4 0

3 years ago

Write the pair of fractions 3/10 and 1/2 as a pair of fractions with a common denominator

spin [16.1K]

The commen denominator for 10 and 2 would be 10. so 3/10 will stay the same ... and now we change the 1/2 to a fraction that has its denominator as 10. so the new fractions would be ... 3/10, and 5/10.

7 0

3 years ago

Which answer shows these decimals written in order from greatest to least 23.697 23.72 22.8

9966 [12]

Greatest to least

23.72, 23.697, 22.8

hope this helps

23.72 is greater than 23.697 by 0.023

6 0

4 years ago

Read 2 more answers