The y-intercept is the point where a line or curve intersects the y-axis; in other words, it's the point on the function where x = 0. If we want to find the y-intercept for the first function x + 4y = 8, we can replace x with 0 and solve for y:
0 + 4y = 8
4y = 8
y = 2
So, the y-intercept for the first function, and therefore the y-intercept for the second function, is (0, 2)
The age of victor after 3 years is 24.
Option: C
<u>Step-by-step explanation:</u>
Mr.Smith is 81 years older than victor.
After 3 years Mr.smith will be four times of victor's age.
⇒After 3 years, age of Mr.Smith will = 81+3.
∴After 3 years, age of Mr.Smith will be 84.
Let us consider victors age as x.
We know that four times of victor's age = Mr.Smith's age after 3 three years.
⇒4x=84.
x=
x=21.
So we found that age of Victor is 21 and further we have to find his current age. i.e. his age after 3 years.
Victor's current age =21+3.
=24.
∴ The victor's current age is 24 years old.
<h3>(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1)) is a example of associative property of addition</h3>
<em><u>Solution:</u></em>
Given that we have to find the associative property of addition
When we add, we can group the numbers in any combination
<em><u>Option A</u></em>
–(18.9 + 3.2) = –18.9 + (–3.2)
Here, negative sign outside the bracket is distributed to terms inside the bracket
This is not a example of associative property
<em><u>Option B</u></em>
–5.5 + 7.9 = 7.9 + (–5.5)
By commutative property of addition,
a + b = b + a
This, is commutative property of addition
<em><u>Option C</u></em>
–17.5 + 0 = –17.5
This is also not a example of associative property
<em><u>Option D</u></em>
(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1))
We can group the numbers in any combination
This is a example of associative property of addition
Angles b and the angle that measures 68° are complimentary angles so they add up to 180°. angle b would be 112°.
Hello!
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²