Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
<span>(4,5); r= square root of 12</span>
<span><span>L
* W = 300 sq ft
</span><span>
Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>
<span>
<span>
Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>
length = 30 feet, width = 10 feet
<span> Check:
30*10 = 300</span>
Answer:
10 units
Step-by-step explanation:
Allow me to revise your question for a better understanding.
<em>"In the xy-plane, the parabola with equation y = (x − 11) ² intersects the line with equation y = 25 at two points, A and B. What is the length of AB" </em>
Here is my answer
Because the parabola intersects the line with equation y = 25 Substituting y = 25 in the equation of the parabola y = (x - 11)², we get
25 = (x - 11)²
<=>x - 11 = ± 5
<=> 
Thus A(16, 25) and B(6, 25) are the points of intersection of the given parabola and the given line.
So the length of AB = √[(16 - 6)² + (25 - 25)²]
= √100 = 10 units
