For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if , then when , you get ; when , you get . So plot the points (0, -1) and (1, 4), then strike a line through.
1. Notice that dividing both sides of by 2 returns , same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of or , you can always find a corresponding value for the other variable.)
2. See attached image. is given by the purple line.
For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.
3. Like with (1), notice that dividing both sides of the first equation by 2 gives , so there will be an infinite number of solutions.
4. (by substitution) Since , we can replace in the second equation:
but this is false, so there are no solutions to this system.
5. (by substitution) Since , in the first equation we have
Then back in the second equation we find
So (-4, -3) is the only solution here.
6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.
Answer:
4.3
Step-by-step explanation:
If your rounding to the nearest tenth them its 4.3. Don't listen to any of the other answers. They keep giving wrong answers. I tried to put 4 in because thats what the people on brainly said but it said I was wrong. I clicked show answer and it said 4.3. So everyone reading this...... its 4.3!!
The fraction form of 65% is 13 / 20
A fraction is a part of a whole number, and a way to split up a number into equal parts. It is written as the number of equal parts being counted, called the numerator, over the number of parts in the whole, called the denominator.
Given that, convert 65% percent into a fraction in the simplest form,
We know that,
a percentage is a number or ratio that can be expressed as a fraction of 100.
To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary.
65% = 65 / 100 = 13 / 20
Hence, the fraction form of 65% is 13 / 20
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Answer: About 80 yards
Step-by-step explanation:
Answer: 85
Step-by-step explanation:
Writing an Equation
Find the length of each side and add them up to get the total perimeter.
We know that there are 6 sides, AB, BC, CD, DE, EF, and FA
We also know that AB = ED and BC = CD = EF = FA
So the total perimeter would be AB + BC + CD + DE + EF + FA = 2AB + 4BC
Finding length of AB
This line goes from (-2,2) to (2,2) so we can find the length by subtracting the x coordinates since the y coordinates are the same
AB = 2 - (-2) = 4
Finding length of BC
Using the Pythagorean Theorem, we can find the length of BC
This line goes from (2,2) to (3,0)
The vertical distance (a) is |0-2| = 2
The horizontal distance (b) is |3-2| = 1
So
Total length
Using the equation 2AB + 4BC to find the perimeter we get
=
=
=
Since is approximately 9, we'll substitute in 9 (assuming we don't have a calculator)
≃ 8 + 9
= 17 units
Converting units
Each unit is 5 yards, so use this ratio get the perimeter in yards
17 units * 5 = 85 yards
Answer:
76≅80
Step-by-step explanation:
Answer:
A 3 x 4 x 8 inch triangle
Step-by-step explanation:
duh
Answer 36
Do the parentheses first (3^2)=9
(9)4•1
The 1 is because 3^0 is just 1
9•4 is 36 and 36•1 is 36.