Answer:
(-3, -2)
Step-by-step explanation:
Look at the second equation, we can easily rearrange it to make x the subject.
x - 4y = 5
x = 4y + 5
Now lets put that into the second equation
2x - 2y = -2
2(4y + 5) - 2y = -2
6y + 10 = -2
6y = -12
y = -2
Now lets find x!
x = 4y + 5
x = 4(-2) + 5
x = -3
Now lets format the answer like the question says (ordered pair)
(-3, -2)
Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.
We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.
We can write the formula as
CD =
CD =
Answer:
y = 10 when x = 5
Step-by-step explanation:
When x = 4, y = 8
Simplify. Divide 4 from both x and y
x = 4/4 = 1
y = 8/4 = 2
when x = 1, y = 2
Next, solve for when x = 5. Mutliply 5 to both x and y
x = 1 * 5 = 5
y = 2 * 5 = 10
y = 10 when x = 5
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Answer:
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