First, let's see how 23 compares with the squares of the positive whole numbers on the number line.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.
Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.
Look at the attached image to see where I plotted the approximate location of √23.
You will realize that this approximation is pretty close since the actual value is roughly 4.80.
Let me know if you need any clarifications, thanks!
I would say: 2 times 5 less a number.
Answer:
Gradient is 11/4 and y intercept -8
Step-by-step explanation:
11X -4Y =32
transfer 11x on other side
-4y = -11x +32
multiply all termsby -1 so that coefficient of y is positive
4Y = 11X -32
DIVIDE ALL TERMS BY 4
Y = (11/4)X -8
COMPARE THIS WITH Y=mX +C
GRADIENT m is 11/4 and Y intercept C is -8
Gradient is 11/4 and y intercept -8
<h3>
Answer: Choice B) 13</h3>
You chose the correct answer.
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Explanation:
Lines M and L are only parallel if and only if the corresponding angles are congruent.
The angles 127 and (9x+10) degrees are corresponding angles. They are both on the same side of the transversal, and they are to the right of each parallel line.
Set the two angle expressions equal to one another. Solve for x
9x+10 = 127
9x = 127-10
9x = 117
x = 117/9
x = 13
Answer:
The compound inequality:
30 ≤ 2L + 2w ≤ 64
w < 12
The range:
3 ≤ w < 12
Step-by-step explanation:
Let L be he length , w the width and p the perimeter
p=2L + 2w
30 ≤ p ≤ 64 ⇌ 30 ≤ 2L + 2w ≤ 64 ⇌ 30 ≤ 24 + 2w ≤ 64 ⇌ 6 ≤ 2w ≤ 40
⇌ 3 ≤ w ≤ 20
but ,since the width is less than the length then w < 12
then 3 ≤ w < 12
