X - 14 = y
x + y = 58
x is the amount you sold
y is the amount your friend sold
Evaluate -a+(-b)−a+(−b)minus, a, plus, left parenthesis, minus, b, right parenthesis where a = 6.05a=6.05a, equals, 6, point, 05
swat32
Answer: ![-9.66](https://tex.z-dn.net/?f=-9.66)
Step-by-step explanation:
Here the given expression, ![-a + (-b)](https://tex.z-dn.net/?f=-a%20%2B%20%28-b%29)
Where
and ![b =3.61](https://tex.z-dn.net/?f=b%20%3D3.61)
By putting the given values of a and b in the given expression,
We get,
![- 6.05 + ( -3.61)](https://tex.z-dn.net/?f=-%206.05%20%2B%20%28%20-3.61%29)
![= -6.05 - 3.61](https://tex.z-dn.net/?f=%3D%20-6.05%20-%203.61)
![= - (6.05 + 3.61)](https://tex.z-dn.net/?f=%3D%20-%20%286.05%20%2B%203.61%29)
![= - 9.66](https://tex.z-dn.net/?f=%3D%20-%209.66)
Answer:
![h = 5\ cm](https://tex.z-dn.net/?f=h%20%3D%205%5C%20cm)
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
![A = 0.5Bh](https://tex.z-dn.net/?f=A%20%3D%200.5Bh)
For this triangle we know that
and
. We substitute these values in the equation and solve for B.
![25 = 0.5B (B-5)](https://tex.z-dn.net/?f=25%20%3D%200.5B%20%28B-5%29)
![0.5B ^ 2-\frac{5}{2}B-25 = 0](https://tex.z-dn.net/?f=0.5B%20%5E%202-%5Cfrac%7B5%7D%7B2%7DB-25%20%3D%200)
Now we use the quadratic formula to solve the equation.
For an equation of the form
the quadratic formula is:
![B=\frac{-b\±\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
In this case note that: ![a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25](https://tex.z-dn.net/?f=a%3D0.5%2C%5C%20%5C%20b%3D-%5Cfrac%7B5%7D%7B2%7D%5C%20%5C%20c%3D-25)
Then:
![B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B-%28-%5Cfrac%7B5%7D%7B2%7D%29%5C%C2%B1%5Csqrt%7B%28-%5Cfrac%7B5%7D%7B2%7D%29%5E2-4%280.5%29%28-25%29%7D%7D%7B2%280.5%29%7D)
![B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Cfrac%7B5%7D%7B2%7D%5C%C2%B1%5Csqrt%7B%5Cfrac%7B25%7D%7B4%7D%2B50%7D%7D%7B1%7D)
![B=\frac{5}{2}\±\frac{15}{2}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B5%7D%7B2%7D%5C%C2%B1%5Cfrac%7B15%7D%7B2%7D)
The solutions are:
![B_1=\frac{5}{2}+\frac{15}{2}=10](https://tex.z-dn.net/?f=B_1%3D%5Cfrac%7B5%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%3D10)
![B_2=\frac{5}{2}-\frac{15}{2}=-5](https://tex.z-dn.net/?f=B_2%3D%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B15%7D%7B2%7D%3D-5)
For this problem we take the positive solution.
![B=10\ cm](https://tex.z-dn.net/?f=B%3D10%5C%20cm)
Now we substitute the value of B in the equation to find the height h
![h = 10-5](https://tex.z-dn.net/?f=h%20%3D%2010-5)
![h = 5\ cm](https://tex.z-dn.net/?f=h%20%3D%205%5C%20cm)
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b. Linear relationships are fairly common in daily life.
Step-by-step explanation:
Answer:
y = 2x + 4
Step-by-step explanation:
First, we need to find out the original equation. On this graph, we can see that the original y-intercept is -1. We can also figure out the slope by counting how many units up on the graph the higher point is from the lower point, in this case, 4, and how many units right it is, in this case, 2, so our slope is 4/2, which can be simplified to 2/1, or a slope of 2. Using the slope and y-intercept, we can create the equation for the original line. The equation will be y = 2x - 1. To get our final answer, we simply need to substitute 4 in the place of -1, and we get our final equation, y = 2x + 4.