ANSWER
The solution is where the two graphs intersect, which is

EXPLANATION
The given system of equations are

and

We need to graph the two equations.
Let us graph

first.
We need at least two points.
You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.
When




So this gives us the ordered pair,

When

we get,




This also gives the ordered pair

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.
For the second line

We again find the intercepts and plot them.
When



This gives the ordered pair

Also, when

then we have,



Then we again have the ordered pair,

We plot these two points on the same graph sheet to obtain the red graph above.
The intersection of the two lines is

You will get good grades so don't worry much.
Answer:
The percentage decrease = 0.9%
Step-by-step explanation:
Using the formula
Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100
= [(9.80 - 9.71 ) / (9.80)] × 100
= [0.09 / 9.80] × 100
= 0.009 × 100
= 0.9%
Therefore, the percentage decrease = 0.9%
Answer:

Step-by-step explanation:
The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.
Thus, since John already knows that
and
, therefore, an additional information showing that the angle between
and
in ∆ABC is congruent to the angle between
and
in ∆DEF.
For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be
.
See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.
Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
Answer:
d: 4 r:5
Step-by-step explanation:
for domain the x coordinates doesn't go over -2 on the left or 2 on the right so if u add the units of the space in between it's 4 since 2- (-2)=4
for the range, the y coordinates never goes over 3 or -2 so range is 5 is u add the units in between
I hope that makes sense!