Answer:
A - Hopes this helps.
Step-by-step explanation:
The answer is 8 and 13
<span>
y = ax + b
y = 4, x = 1 </span>⇒ 4 = a + b
y = 6, x = 3 ⇒ 6 = 3a + b
Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3
So, the function rule is: y = x + 3
Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13
x y
1 4
3 6
4 7
5 8
7 10
10 13
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
You could get two different functions out of this:
<u>2x + 2y = 8</u>
1). <u> 'y' as a function of 'x'</u>
Subtract 2x from each side: 2y = -2x + 8
Divide each side by 2 : <em> y = -x + 4</em>
2). <u> 'x' as a function of 'y' :</u>
Subtract 2y from each side: 2x = -2y + 8
Divide each side by 2 : <em> x = -y + 4</em>
Those two functions look the same, but that's just because the original
equation given in the problem was so symmetrical. In general, they're
not the same function.
