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2 years ago

13 What is the value of x? х Enter your answer in the box. 12 X =

Mathematics

1 answer:

inessss [21]2 years ago

3 0

Answer:

x is the value of 12

Step-by-step explanation:

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The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the

Monica [59]

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0. We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165. Thus,

-(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

4 ± √ [16 + 660 ]

W = ------------------------------

4 ± √ [ 676 ] 4 ± 26

W = ----------------------- = W = ------------- = W = 2 ± 13

2 2

Thus, W is 2 + 13 = 15. It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

6 0

3 years ago

Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

Alenkinab [10]

Answer:

$\cos \theta=-\dfrac{8}{17}$

Step-by-step explanation:

Coordinates of Point b $=(-8,15)$

b lies on the circle whose equation is $x^2+y^2=289$

$x^2+y^2=17^2$

Comparing with the general form a circle with center at the origin: $x^2+y^2=r^2$

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

$\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}$

8 0

2 years ago

Find the equation of the line passing through the points (7, 16) and (2, −4). Then state the slope and coordinates of the x- and

Elanso [62]

Answer:

Equation point-slope model is: y-16 = 4 (x-7)

Slope =4

x-intercept=(7,2)

y-intercept=(16,-4)

Step-by-step explanation:

6 0

2 years ago

Which represents a quadratic function y=2(x+2)(x-1) in standard form

ale4655 [162]

answer: y= 2x^2+2x-4
steps:
y= (2x+4)(x-1)
*FOIL method* y= (2x^2-2x+4x-4)
*simplify* y= 2x^2+2x-4

4 0

2 years ago

Will mark as brainliest! <br> Btw, it’s not D

Elanso [62]

Answer:

The IQR is a better measure of spread for movies than it is for basketball games

Step-by-step explanation:

The Basket ball games has no outliers so we would use standard deviation as the measure of spread. The movies has an outlier so we would use IQR as the measure of spread.

6 0

2 years ago

13 What is the value of x? х Enter your answer in the box. 12 X =​

13 What is the value of x? х Enter your answer in the box. 12 X =