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3 years ago

Find the vertex of this parabola y=x^2-2x

Mathematics

1 answer:

jeka57 [31]3 years ago

3 0

The answer will be (x−1)2−1

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Malcolm is given a plan for a garden. He expresses the perimeter as 2(x+8) + 2(3x). WHAT WILL BE THE COEFFICIENT OF X WHEN HE SI

CaHeK987 [17]

Answer:

The coefficient of x is 8

Step-by-step explanation:

Given

$P = 2(x+8) + 2(3x)$ --- Perimeter

Required

Determine the coefficient of x

$P = 2(x+8) + 2(3x)$

Open bracket

$P = 2x + 16 + 6x$

Collect like terms

$P = 2x + 6x+ 16$

$P = 8x+ 16$

The coefficient of x is 8

4 0

3 years ago

Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction c

Hoochie [10]

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

$Sin \theta = \dfrac{opposite}{hypothenuse}$

∴

$Sin (53^0) = \dfrac{4}{x}$

Making x the subject of the formula:

$x = \dfrac{4}{Sin \ 53^0}$

$x = \dfrac{4}{0.7986}$

$x \simeq 5$

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

$Cos \theta = \dfrac{adjacent}{hypothenuse}$

$Cos \ 53^0 = \dfrac{y}{x}$

where; x = 5

$Cos \ 53^0 = \dfrac{y}{5}$

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

8 0

3 years ago

Read 2 more answers

There is a famous irrational number called Euler's number, symbolized with an e. Like π , its decimal fo rm never ends or repeat

defon

$\sqrt{7} < e < \sqrt{8}=2\sqrt{2}$

3 0

3 years ago

Read 2 more answers

If y varies inversely as x, and y= 4 when x=6, then determine the value of y when x=5.

EastWind [94]

Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8

3 0

3 years ago

Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he dr

Troyanec [42]

Answer:

The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

Step-by-step explanation:

Given;

distance measured by odometer in kilometer, = 810 km

distance measured by odometer in miles, = 510 miles

The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;

$d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles$

Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

8 0

3 years ago