Answer:
x = 23°
Step-by-step explanation:
Note: Complementary angles measure 90°
3x + (x - 2)° = 90°
=> 3x + x - 2° = 90°
=> 4x - 2° = 90°
Add the additive inverse of -2 to both sides of the equation
i.e 4x - 2° + 2° = 90° + 2°
=> 4x = 92°
Divide both sides of the equation by the coefficient of x which is 4
=> 4x/4 = 92°/4
x = 23°
Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be 
, where 
is the stopping distance measured in metres and 
is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of 
.
2) Add the function 
.
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Answer:
-3/2
Step-by-step explanation:
Let x = the integer:
2x^2 - 18 = 9x
2x^2 - 9x - 18 = 0
Now either factor that or use the quadratic formula if you're lazy like me.
x = -3/2 and 6, so x must be 6 because it has to be an integer.
<span>1. (−2/3) (16)
Enter your answer as a fraction, in simplified form.
answer: -32/3
2. What is the product of −2 1/2 and −3 1/3 ?
answer: 25/3
3. Divide.
−24/7
answer: -3 3/7
Enter your answer as a mixed number, in simplified form.
</span><span>4. A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4−3.4 kilometers per hour. The cheetah travels a total of 21.5 meters.
What is the total change in the cheetah's speed during this time?
A. 73.1
B. 71.9
C. -71.9
answer: D. -73.1
5. Multiply.
(−0.64) (−2.5)
answer: 1.6
Enter your answer as a decimal.
</span><span>6. Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5 °F −8 °F −6 °F −8 °F −3 °F 2° F 7° F
What is the average low temperature for the week?
answer: -3
7.Divide.
5/6÷−2/3
answer: -5/4 or - 1 1/4 (mixed #) or -1.25 (decimal)
8. Jerry measured and timed the descent of a diving bell spider in a large fish tank. The spider reached a position 4 1/2 inches below the surface of the water after descending at a constant rate for 1 1/2 seconds. Jerry recorded this as −4 1/2 inches.
What is the position of the spider relative to the surface after 1 second?
answer: </span>-3
<span>9. Divide.
(3 3/4) ÷ (−2 1/2)
Enter your answer as a mixed number, in simplified form.
answer: -1 1/2
10. Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost including an 18% tip.
Which expression is equivalent to the amount Miko paid?
</span>
<span>answer: 16 + 0.18(16)</span>
