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timurjin [86]
3 years ago
10

A number line contains points Q, R, S, and T. Point Q is on the coordinate 4, R is on the coordinate 8, S is on the coordinate 9

, T is on the coordinate 12. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
A) 25%
B) 37.5%
C) 44%
D) 51.5%
Mathematics
2 answers:
blagie [28]3 years ago
7 0
Length of ST / length of QT

3/8
atroni [7]3 years ago
5 0

Answer:

B. 37.5%

Step-by-step explanation:

We are given that,

Co-ordinate of point Q = 4

Co-ordinate of point R = 8

Co-ordinate of point S = 9

Co-ordinate of point T = 12

It is required to find the probability of a point chosen at random on QT which  lies on ST.

So, we have,

Distance of line QT = 12 - 4 = 8

Distance of line ST = 12 - 9 = 3

Then, the required probability = \frac{3}{8} = 0.375 or 37.5%

Hence, the probability of a point chosen at random on QT which  lies on ST is 37.5%

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What is the product of the complex numbers 3 - 4iand 6+i where i= -1
mixas84 [53]

Answer:

35

Step-by-step explanation:

Since i=-1, we can rewrite the equation as 3-[4(-1)} multiplied by 6+(-1). Since

4 x-1=, 3-(-4)=7. 6-1=5, and 7x5=35.

5 0
2 years ago
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Help me please !!!!!!
kirill115 [55]

Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

5 0
3 years ago
Please help me now plz
sergey [27]

Answer:

x=12

Step-by-step explanation:

The right side is a right triangle

The base is 1/2 of the bottom or 5

The height is x and the hypotenuse is 13

We can use the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +x^2=13^2

25+x^2 = 169

Subtract 25 from each side

25-25+x^2 = 169-26

x^2 =144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x= 12

4 0
2 years ago
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
sergeinik [125]

Answer:

a). 8(x + a)

b). 8(h + 2x)

Step-by-step explanation:

a). Given function is, f(x) = 8x²

    For x = a,

    f(a) = 8a²

    Now substitute these values in the expression,

    \frac{f(x)-f(a)}{x-a} = \frac{8x^2-8a^2}{x-a}

                  = \frac{8(x^2-a^2)}{(x-a)}

                  = \frac{8(x-a)(x+a)}{(x-a)}

                  = 8(x + a)

b). \frac{f(x+h)-f(x)}{h} = \frac{8(x+h)^2-8x^2}{h}

                      = \frac{8(x^2+h^2+2xh)-8x^2}{h}

                      = \frac{8x^2+8h^2+16xh-8x^2}{h}

                      = (8h + 16x)

                      = 8(h + 2x)

4 0
3 years ago
What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10)
sladkih [1.3K]
The equation of a line starting from two points is:
y-y_1=\frac{y_2-y_1}{x_2-x_1} \cdot (x-x_1)

From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10

Replace x1, y1, x2, y2 in the equation of the line and you get:
y+2=\frac{10+2}{3+1} \cdot (x+1)
y+2=\frac{12}{4} \cdot (x+1)
y+2=3 \cdot (x+1)

From this you get the equation of your line:
y(x)=3x+1




4 0
3 years ago
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