Answer:
One shirt cost $15
One pair of shoes cost $20
Step-by-step explanation:
Let
x-----> the cost of one shirt
y----> the cost of one pair of shoes
we know that
-----> equation A
-----> equation B
Solve the system of equations by graphing
The solution of the system of equations is the intersection point both graphs
The solution is the point (15,20)
see the attached figure
Therefore
One shirt cost $15
One pair of shoes cost $20
We know that the parabola opens downwards because it has a negative leading coefficient.
<h3>
</h3><h3>
Why the parabola opens downwards?</h3>
For any polynomial, the leading coefficient is the coefficient in the term where is the large exponent of the polynomial.
The sign of that coefficient will determine the end behavior of the graph of the polynomial.
For the case of the parabola, a positive leading coefficient means that the parabola opens upwards, while a negative leading coefficient will mean that the parabola opens downwards.
Now, if you look at our parabola:
g(x) = -(x + 1)^2 - 3
You can see that there is a negative sign, thus when we expand the parenthesis, we will end up with a negative leading coefficient:
g(x) = -x^2 - 2x + 1 - 3 = -x^2 -2x - 2
So we know that the parabola opens downwards.
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Answer:
<h2>Yes</h2>
Step-by-step explanation:
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
ΔABC:
A(2, 5), B(5, 5), C(5, 9)
![AB=\sqrt{(5-2)^2+(5-5)^2}=\sqrt{3^2+0^2}=\sqrt{9+0}=\sqrt9=3\\\\AC=\sqrt{(5-2)^2+(9-5)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\\\\BC=\sqrt{(5-5)^2+(9-5)^2}=\sqrt{0^2+4^2}=\sqrt{0+16}=\sqrt{16}=4](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%285-2%29%5E2%2B%285-5%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B0%5E2%7D%3D%5Csqrt%7B9%2B0%7D%3D%5Csqrt9%3D3%5C%5C%5C%5CAC%3D%5Csqrt%7B%285-2%29%5E2%2B%289-5%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B4%5E2%7D%3D%5Csqrt%7B9%2B16%7D%3D%5Csqrt%7B25%7D%3D5%5C%5C%5C%5CBC%3D%5Csqrt%7B%285-5%29%5E2%2B%289-5%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B4%5E2%7D%3D%5Csqrt%7B0%2B16%7D%3D%5Csqrt%7B16%7D%3D4)
ΔDEF:
D(-7, 8), E(-4, 8), F(-4, 4)
![DE=\sqrt{-4-(-7))^2+(8-8)^2}=\sqrt{3^2+0^2}=\sqrt{9+0}=\sqrt9=3\\\\DF=\sqrt{(-4-(-7))^2+(4-8)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\EF=\sqrt{(-4-(-4))^2+(4-8)^2}=\sqrt{0^2+(-4)^2}=\sqrt0+16}=\sqrt{16}=4](https://tex.z-dn.net/?f=DE%3D%5Csqrt%7B-4-%28-7%29%29%5E2%2B%288-8%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B0%5E2%7D%3D%5Csqrt%7B9%2B0%7D%3D%5Csqrt9%3D3%5C%5C%5C%5CDF%3D%5Csqrt%7B%28-4-%28-7%29%29%5E2%2B%284-8%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B%28-4%29%5E2%7D%3D%5Csqrt%7B9%2B16%7D%3D%5Csqrt%7B25%7D%3D5%5C%5C%5C%5CEF%3D%5Csqrt%7B%28-4-%28-4%29%29%5E2%2B%284-8%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B%28-4%29%5E2%7D%3D%5Csqrt0%2B16%7D%3D%5Csqrt%7B16%7D%3D4)
AB ≅ DE
AC ≅ DF
BC ≅ EF
Therefore ΔABC ≅ ΔDEF
Answer:
$3.08
Step-by-step explanation:
To find the units price you would just divide $18.48 by 6 which gives you $3.08
Answer:
Step-by-step explanation:
Negative Radicand