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sasho [114]
3 years ago
7

What is the equation of the line that passes through the point (5,-2) and (2,-5)

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

(4, 10)

Step-by-step explanation: you go 4 over from 2 and you get -2. if you go over 10 you get -5

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The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
EleoNora [17]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
5 0
3 years ago
What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

_____________________________________________

Rewrite as:  log₁₀ (3x) = 2.5 ;  

_____________________________________________

Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

to get:

    →   x = 105.4092553389459777333 ;

    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

_____________________________________________

 Hope this helps!

    Best wishes to you!

_____________________________________________

8 0
3 years ago
tiff basic insurance cost is $613.50 per year. His insurance company offers a typical "safe-driver discount." What would be his
forsale [732]

The rate if he went three years without an accident based on the information about the insurance is $552.15.

<h3>How to calculate the insurance?</h3>

From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.

The amount will be:

= 613.50 - (20.45 × 3)

= 552.15

In conclusion, the rate is $552.15.

Learn more about insurance on:

brainly.com/question/25855858

#SPJ1

5 0
2 years ago
What is the answer to 30% of 820
katen-ka-za [31]

Answer:

私は屋根裏部屋に50人の子供がいますが、母は知らないので、入り口の下に机を置いていたので、子供たちは水が不足していて、おそらく死んでいると思います。

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Talia is writing a coordinate proof to show that the diagonals of a square are perpendicular. Which sentence describes what Tali
AfilCa [17]

Answer:

D.

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

In option D, since the slopes are 1 and -1, their product is -1, and the lines are perpendicular.

Answer: D.

3 0
1 year ago
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