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yawa3891 [41]
3 years ago
6

write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

y=0.625x+1.75 is the equation for your problem.

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An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin
GuDViN [60]

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Complete question:

<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>

<em></em>

Given the height of an object modelled by the expression;

<em>h(t)=144-16t²</em>

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>

8 0
3 years ago
Bill and George go target shooting together. Both shoot at atarget at the same time. Suppose Bill hits the target withprobabilit
german

Answer: (a) \frac{2}{9}       (b) \frac{6}{41}

Step-by-step explanation:

(a) P( Bill hitting the target) = 0.7        P( Bill not hitting the target) = 0.3

    P( George hitting the target) = 0.4     P(George not hitting the target) = 0.6

Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3

                                                                                            = 0.54

Chances that George hit the target is = 0.4 x 0.3 = 0.12

So given that exactly one shot hit the target, probability that it was George's shot = \frac{0.12}{0.54} = \frac{2}{9} .

(b) The numerator in the second part would be the same as of (a) part which is 0.12.

The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.

Given that the target is hit,probability that George hit it =                                                 \frac{0.4\times 0.3}{0.7\times 0.6 +0.4\times 0.3+0.4\times 0.7}  = = \frac{6}{41}                                                                        

                                                                                           

6 0
3 years ago
June is driving from brookline, massachusetts to brooklyn, new york. The cities are 200 miles apart. Pretend june lives in a wor
dolphi86 [110]

The formula that describes this function is c = 50t + 200

<h3>What is a Linear equation</h3>

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change  and b is the y intercept.

Let c represent the distance june has traveled after time t.

Since the cities are 200 miles apart, hence b = 200. Also the spoeed is 50 mph, hence m = 50:

c = 50t + 200

The formula that describes this function is c = 50t + 200

Find out more on Linear equation at: brainly.com/question/14323743

6 0
2 years ago
The perimeter of a square is equal to the circumference of a circle with a radius of 10 cm.
marta [7]

Answer:

C = 2*3.14*10 = 62.8 cm = P of square

Area=1/16 * p2

=

246.49 cm2

3 0
4 years ago
How many tickets must be sold to make the median and mode the Same?
damaskus [11]
666 I have no clue ask people around you or the teacher for more help
6 0
3 years ago
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