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2 years ago

60 ft/s = ____km/h I don't know how to convert feet to kilometers.

1 answer:

kondor19780726 [428]2 years ago

7 0

Well to convert feet into km you have to know that 1 feet = 0.0003048 km

knowing that you multiply the km by 60 which gives you..... 0.018288 km

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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -

rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

$y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\$

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by D and its formula is

$D=b^2-4ac\\$

Where

a= the coefficient of the $x^{2}$

b= the coefficient of $x$

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .

Let us start with

$y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\$

Hence we have two real roots for this equation.

$y = 2x^2 - 6x + 5\\$

$y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D$

Hence we do not have any real root for this quadratic

$y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\$

Hence D>0 and thus we have two real roots for this equation.

$y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\$

Hence we have one real root to this quadratic equation.

7 0

2 years ago

Number 17 thanks pls ASAP ASAP

RideAnS [48]

Answer:

$\frac{1}{2}$ which agrees with answer B

Step-by-step explanation:

First write the equation that represents this type of variation:

$y=\frac{5}{x}$

then we need to solve for "x" when y = 10 as shown below:

$y=\frac{5}{x} \\10=\frac{5}{x} \\10*x=5\\x=\frac{5}{10} \\x=\frac{1}{2}$

5 0

2 years ago

If m< DBG=58 and mDG =74 , find mGE

mestny [16]

Answer:

Option D: mGE = 190°

Step-by-step explanation:

From the property of angles of secant and tangent lines, we have:

DBG = (mGE - mDG)/2

(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)

So, we have that:

58 = (mGE - 74)/2

2*58 = mGE - 74

mGE = 116 + 74 = 190°

So we have that mGE is equal to 190°, correct option: D.

5 0

2 years ago

Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the num

Butoxors [25]

Answer:

The answer is c and we'll use c to get the actual answers.

A) n + q = 104

B) .05n + .25q = 22 we'll multiply B) by -4

B) -.2n -1q = -88 then we add A)

A) n + q = 104 which equals

.8n = 16

n = 20 nickels

q = 84 quarters

20 nickels = $1

84 quarters = $21

Successful!!!

Step-by-step explanation:

5 0

3 years ago

Caleb has an assignment to draw a contour map. What type of landform is he most likely drawing?

marysya [2.9K]

The type of land form that Caleb most likely draws is a hill. The answer is option C- a hill.

Step-by-step explanation:

Contour lines are drawn to represent the changes in the elevation which helps to know the slope of the figure drawn.
If the contour lines are drawn close, then steeper the figure is. And more distant the lines are drawn, then less steep the figure is.
Here, the lines seem to be likely circle in shape. The distance of the outermost contour line is 20 ft. The next inner lines will have reduced values of 20 ft.
Therefore, the elevation gets reduced from higher to lower points which provides a diagram of a hill. Since there is no continuous high and low elevations, this cannot be a valley (a range of mountains).
Furthermore, The contour diagram for option A and D such as creek(water stream) or shoreline will have different and mixed values of elevations that seems to be a messy structure of contour lines.

8 0

3 years ago