Answer:
(-7, -12)
Step-by-step explanation:
4x-3y=8
5x-2y=-11
Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.
(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)
2(4x-3y=8)
-3(5x-2y=-11)
8x-6y=16
-15x+6y=33
(now the easy part… cancel the 6s and add the equations)
8x+(-15x)=-7x
16+33=49
-7x=49
(divide 49 by -7)
x=-7
Replace x in any of the equations and you’ll get the y value.
4x-3y=8
4(-7)-3y=8
-28-3y=8
-3y=36
y=12
Threfore, there is one solution which is….. (-7,-12)
Answer:
2
Step-by-step explanation:
4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2
Explanation:
Draw a dot 2 units above each dot shown on the graph. Connect the dots in the same way they are connected here.
f(x)+2 simply translates the curve up 2 units.
Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle
is similar to the triangle
. Therefore the following relation must be true:

We know that side
is equal to 8, side
is equal to <em>b, </em>side
is equal to
, and side
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:

Answer: -9.8
step by step explanation: