A father is four times as old as his daughter. In 18 years he will be two times as old as she. How old is the daughter now?
Answers
2x=18 then divide both sides by 2, x = 9. The daughter's age was x, so she is 9 years old.
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hree different stocks were ordered. The purchase prices were 8 ⅜ dollars, 12 ⅛ dollars and 15 ⅜ dollars.how much was paid for all three stocks?
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A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain how to use equivalent fractions to find the distance a gazelle could run in 1 minute. Then write the equivalent fractions.
What is the measurement of JL?
Answers
Sn = a₀×(rⁿ -1)/(r -1)
you have
S₅ = 10×((1/5)⁵ -1)/(1/5 -1)
= 10×(-3124/3125)/(-4/5)
= 10×781/625
S₅ = 1562/125
_____
Or, you can add up the terms
10 + 2 + 2/5 + 2/25 + 2/125 = (1250 +250 +50 +10 +2)/125
= 1562/125
Answers
Answers
Answer:
Undefined.
Step-by-step explanation:
When using the formula y2-y1/x2-x1, the result comes out as -4/0. Any number over a 0 is undefined.
Answers
Answer:ididnt ask
Step-by-step explanation:
yes
Answers
Answer:
A
Step-by-step explanation:
given
16x² + 16xy + 4y²
an expression factorised as a perfect square has the form
(ax + by)²
= a²x² + 2abxy + b²y²
16x² + 16xy + 4y² ← is in this form
with a² = 16 , b² = 4
so a = = 4 and b =
= 2
then 2ab = 2(4)(2) = 16
Thus
16x² + 16xy + 4y² = (4x + 2y)² ← in factorised form
6x + 3y =
A: –12
B: –4
C: 0
D: 4
E: 12
Answers
For this case we have the following system of equations:
Rewriting equation 1 we have:
Therefore, the equivalent system is:
The system will have no solution, if we write equation 2 as a linear combination of equation 1.
Therefore, since both lines have the same slope, they are parallel.
Parallel lines do not intersect when they have different cut points.
Therefore, there is no solution for:
-12, -4, 0, 4
The system has inifinites solutions for:
12
This is because the lines intersect at all points in the domain.
Answer:
The values, when placed in the box, would result in a system of equations with no solution are:
A: -12
B: -4
C: 0
D: 4
Answer:
Thus, option (a), (b) , (c) , (d) are correct.
The system will have no solution for all values except 12.
Step-by-step explanation:
Given a system of equation y = –2x + 4 and 6x + 3y = ?
We have to check for which value the '?' would result in a system of equations with no solution.
Consider a system of equation
For the system to have no solution the condition is,
For the given system of equation ,
Let unknown quantity be v.
y = –2x + 4 ⇒ 2x +y - 4 = 0
and 6x + 3y = v ⇒ 6x + 3y - v =0
On comparing, we get,
Substitute the values in condition for no solution , we get ,
Consider second and third ratio, we get,
Solve for v , we get,
Thus, for all values v except v = 12
The system will have no solution
at v = 12 the system will have infinite many solution.
Thus, option (a), (b) , (c) , (d) are correct.