The value of a is 80
Step-by-step explanation:
The distance of a point 
from the y-axis can be written as
because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point from the x-axis can be written as
Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as
- The distance of point B (a,a) from the x-axis can be written as
Since 
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means
Therefore,
And solving for a,
Learn more about distance:
brainly.com/question/3969582
#LearnwithBrainly
In order to convert centimeters to inches, you use the following equation:
1 inches = 2.54 cm
If you have to convert, for example, 4 inches, you proceed as follow:
4 inches* (2.54cm/1 inches) = 10.16 cm
That is, you multiply the quantity that you want to convert, by the quotient between 2.54cm and 1 inches.
Answer:
The answer is of the following is 10,000
12 3/4 + 15 1/4
12 + 15 = 27
3/4 + 1/4 = 4/4 or the same as 1
27+1=28
So the answer is Julie used 28 gallons of Water.
This problem has my name!!!!!!!!!!!!!
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
