6 is 12% of what number
Answers
Change the percentage into a decimal by dividing the percentage (12) by 100:
Divide 6 by the decimal (0.12):
6/0.12 = 50.
So 6 is 12% of 50.
Hope that helped you.
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14) 5x7 - 12x +7 = 0
Solve by factoring
Answers
Answer:
see explanation
Step-by-step explanation:
(13)
v² - 11v + 18 = 0 ← in standard form
(v - 2)(v - 9) = 0 ← in factored form
Equate each factor to zero and solve for v
v - 2 = 0 ⇒ v = 2
v - 9 = 0 ⇒ v = 9
solutions are v = 2, v = 9
(14)
5x² - 12x + 7 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = - 12
The factors are - 5 and - 7
Use these factors to split the x- term
5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )
5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(5x - 7) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
5x - 7 = 0 ⇒ 5x = 7 ⇒ x =
solutions are x = 1, x =
Answers
f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34
Answers
Answer:
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
slope = (change in y) / (change in x)
Let's apply this formula to the given points (2, 7) and (-1, 4):
1. Determine the change in y:
change in y = 4 - 7 = -3
2. Determine the change in x:
change in x = -1 - 2 = -3
3. Calculate the slope using the formula:
slope = (-3) / (-3) = 1
Therefore, the slope of the line passing through the points (2, 7) and (-1, 4) is 1.
In summary, the slope of the line passing through the given points is 1.
What is the range?
Answers
5
1
3
none of these
Answers
ie, sub 1, 3 and 5 for x and see which one is true
20-2(1)=10
20-2=10
18=10
false
20-2(3)=10
20-6=10
14=10
false
20-2(5)=10
20-10=10
10=10
true
answer is 5
Answers
It would form a right triangle, in which the shorter leg is 7m and the longer leg is 24m. You're looking for the last side, the hypotenuse. So use the Pythagorean theorem. a^2 + b^2 = c^2 , in which a and b are the legs and c is the hypotenuse.
Therefore, you get 7^2 + 24^2 = c^2.
Which is, 49 + 576 = c^2
Add, 625 = c^2.
Take the square root of 625, which is 25. So, the length of the hypotenuse (last side) is 25m. Add the 7m that is sticking out of the ground, to get 32m.
So we have a right angled triangle, the vertical part is 7m, and the horizontal is 24m.
From Pythagoras' Theorem:
x² = 24² + 7²
x² = 576 + 49
x² = 625
x = √625
x = 25
So the broken part is 25m long.
The length of the flagpole before it was broken = 25 + 7
= 32m.
Really beautiful question.