MATHEMATICS HIGH SCHOOL

The graph of y=4x^2+16x-18 has an axis of symmetry at x=___

Answers

Answer 1

Answer:

Answer:

x = - 2

Step-by-step explanation:

Given

y = 4x² + 16x - 18

with a = 4, b = 16 , then the equation of the axis of symmetry is

x = - $(b)/(2a)$ = - $(16)/(8)$ = - 2

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The 2004 Tour de France was 3391.1 kilometers.The winner won the trace in a little over 83.5 hours fill in the blank to find the winners average speed in meters per hour.

Answers

Answer:

To find the winner's average speed in meters per hour, you can first convert the kilometers to meters and the hours to seconds. Then, divide the distance by the time.

1 kilometer = 1000 meters

1 hour = 3600 seconds

So, the distance in meters is:

3391.1 kilometers * 1000 meters/kilometer = 3,391,100 meters

And the time in seconds is:

83.5 hours * 3600 seconds/hour = 300,600 seconds

Now, calculate the average speed:

Average Speed = Distance / Time

Average Speed = 3,391,100 meters / 300,600 seconds

Average Speed ≈ 11.28 meters per second

To convert this to meters per hour:

11.28 meters per second * 3600 seconds/hour ≈ 40,608 meters per hour

So, the winner's average speed in meters per hour was approximately 40,608 meters per hour.

Step-by-step explanation:

How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle, A² + B² = C²

But A = B and C = 24 .

2A² = (24)²

A² = (24)² / 2

But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 .

$45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.$

Urgentthe area of a square field is 60025m square.a man cycles along its boundary at 18 km per hour
in how much time will he return at starting point

Answers

Area of square field = 60025 m

Thus, side = √60025 = 245 m.

Perimeter = 245 * 4 = 980 meters

Speed = 18 kmph = 5m/s

Time = Distance / speed

= 980 / 5

= 196.

Thus, it will take 196 seconds for the man to return at the starting point.

$Area=60025\ m^2\ \ \ and\ \ \ Area=a^2\n\n\ \ \ \Rightarrow\ \ \ a^2=60025\ m^2 \ \ \Rightarrow\ \ \ a=245\ m\n\n\ \Rightarrow\ \ \ the\ perimeter\ of\ a\ square:\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ P=4a=4\cdot245\ m=980\ m=0.98\ km\n\n Speed=18 (km)/(h) \ \ \ and\ \ \ Speed= \frac{\big{P}}{\big{time}} \n\n18= \frac{\big{0.98}}{\big{time}}\n\n\ \ \ \Rightarrow \ \ \ time= \frac{\big{0.98}}{\big{18}}\ hr=\frac{\big{0.98}}{\big{18}}\ \cdot3660\ s=196\ s=3\ min\ 16\ s\n$

$Ans.\ he\ will\ return \ after\ 3\ minutes\ 16\ seconds.$

The students in Sam’s school voted for their favorite subject. Sam displayed the results in the cirlce graph shown.Which statements are true about the data in the graph? Check all that apply.

A circle graph titled Favorite Subject. Math is 24 percent, language arts is 20 percent, science is 18 percent, social studies is 16 percent, art is 14 percent, and other is 8 percent.

If 100 students were surveyed, 34 would choose math as their favorite subject.
If 200 students were surveyed, 28 would choose art as their favorite subject.
If 400 students were surveyed, 64 would chose social studies as their favorite subject.
If 100 students were surveyed, 38 would choose science as their favorite subject.
If 200 students were surveyed, more than half would choose science or social studies as their favorite subject.

Answers

Answer:

Step-by-step explanation:

32 is 40 percent of what number

Answers

Yay percentages, okay.

You have 40/100 = 32/x
What you can do is cross multiply

40 32
--- ---
100 x

Multiply 32 by 100 and divide by 40, you should get your answer. (Namely 80)

40% * x =32

$(40)/(100) *x=32 \n \n 40x=3200 \n \n x=80$

If you mow 24 lawns and earn 10.50 for each lawn,your total earing are?

Answers

If one lawn is 10.50, then to find 24 lawns you times it by the earnings of one lawn (i.e. 10.50)
The sum would be: 10.50 x 24
The answer to that would be 252.00.
(Remember to add in the currency sign in front of the answer (eg. £ $ etc)

Answer:

$252.00

Step-by-step explanation:

10.50 × 24

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a company sells tablet computers and phones. it sells a total of 150 items this month. the number of tablets sold is half of the number of phones sold. the company makes profit of $300 on each tablet and $400 on each phone. what is the profit the company makes this month?