3x + y = 15
5x3y = 11
This is an example of a system of equations.
A system of equations is two or more equations that can be graphed, as the solution that satisfies both equations will be the point where the lines intersect on a graph.
Desmos is a graphing calculator, and thus it allows you to visualize this system.
Answer:
Perimeter of the smaller triangle = 1.75x
Step-by-step explanation:
Let the two equal sides of an isosceles triangle = x
Therefore, length of the base = 
Perimeter of this isosceles triangle = x + x + 
= 2x + 
= 2x + x + 
= 
Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,
Length of each corresponding side of smaller triangle will be half of the larger triangle.
Length of sides of the smaller triangle = 
Perimeter of the smaller triangle = 
= x + 
= 
= 
= 
= 1.75x
Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)
Answer:
Table 3
Step-by-step explanation:
The third one.
We have the function
![h(x) = \sqrt[3]{-x+2}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Csqrt%5B3%5D%7B-x%2B2%7D)
Now we will insert values of x in that definition o h(x) and see if the values we obtain match the corresponding y values in the table:
![h(-6) = \sqrt[3]{-(-6)+2}= \sqrt[3]{6+2}= \sqrt[3]{8} = 2\\h(1) = \sqrt[3]{-1+2}= \sqrt[3]{1}= 1\\h(2) = \sqrt[3]{-2+2}= \sqrt[3]{0}= 0\\h(3) = \sqrt[3]{-3+2}= \sqrt[3]{1}= 1\\h(10) = \sqrt[3]{-10+2}= \sqrt[3]{-8}= -2](https://tex.z-dn.net/?f=h%28-6%29%20%3D%20%5Csqrt%5B3%5D%7B-%28-6%29%2B2%7D%3D%20%5Csqrt%5B3%5D%7B6%2B2%7D%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202%5C%5Ch%281%29%20%3D%20%5Csqrt%5B3%5D%7B-1%2B2%7D%3D%20%5Csqrt%5B3%5D%7B1%7D%3D%201%5C%5Ch%282%29%20%3D%20%5Csqrt%5B3%5D%7B-2%2B2%7D%3D%20%5Csqrt%5B3%5D%7B0%7D%3D%200%5C%5Ch%283%29%20%3D%20%5Csqrt%5B3%5D%7B-3%2B2%7D%3D%20%5Csqrt%5B3%5D%7B1%7D%3D%201%5C%5Ch%2810%29%20%3D%20%5Csqrt%5B3%5D%7B-10%2B2%7D%3D%20%5Csqrt%5B3%5D%7B-8%7D%3D%20-2)
We can see that the values match the table 3, so the table 3 represents points on the graph of h(x)
D. y, because Triangle JHK is similar to triangle LMK
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 3x+2
Let x=4
f(4) = 3(4)+2
= 12+2
= 14