Answer:
17 units
Step-by-step explanation:
Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular
There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.
Using Pythagoras' identity in this right angle
r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
r = 
= 17
Answer:
x=8
Step-by-step explanation:
Triangle DCE is similar to EGF
CE/EF=DE/EG
Substitute
(8x-1)/21=(6x+3)/17
Cross multiply
(8x−1)*(17)=(6x+3)*(21)
136x−17=126x+63
Subtract 126x from both sides
10x−17=63
Add 17 to both sides.
10x−17+17=63+17
10x=80
Divide both sides by 10.
x=8
Order of operations (PEMDAS):
21 - 18 <span>/ 3 * 2
let's add some parenthesese to make it easier to see:
21 - (18 / 3 * 2)
multiplication and division are associative
also: 18 / 3 = 18 * (1/3)
21 - (18 * (1/3) * 2)
21 - (6*2) or 21 - (36 * (1/3)) or 21 - (18 * (2/3))
21 - 12
9
</span>
Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
Answer: Ian would have drove 91 miles using only 3 gallons of gas.
Step-by-step explanation: I used paper and pencil and used a T-chart putting one section at the top “gallons” and the other “miles”; under gallons I put 7 because the question stated with “7 gallons of gas”; under miles I put 217 because the question states that with 7 gallons of gas Ian’s car travels 217 miles so using the T-chart I want to simply the 7 gallons of gas to one gallon of gas to figure out how miles Ian’s car would go only using 3 gallons of gas; by dividing 7 by 7 giving me 1, and with a T-chart you wanna do the same thing to both sides meaning I divided 217 by 7 as well giving me 31 for 1 gallon of gas, meaning Ian’s car would travel 31 miles with only using 1 gallon of gas. After I find that answer I go to multiply the 1 under “gallons” by 3 to and again, if you do it to one side you have to do it to the other meaning I multiplied 31 my 3 as well; giving me 91. Meaning with only using 3 gallons of gas Ian’s car would travel 91 miles!
