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aniked [119]
3 years ago
5

Write an equation of the line that passes through the points (2, -3) and (1,4).

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

Answer:

D. y = -7x + 11

Step-by-step explanation:

Graphed it in desmos.

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Use the multiplication property of equality to multiply both sides of the equation by 1/6 to get: (1/6)6x=(1/6)48.
zzz [600]
X= 8 because by multiplying the fraction with a whole number you had to to convert it to i a fraction and that equals one and then 1/6 times 48 is 8
5 0
3 years ago
How to count slope on linear equasions<br>​
Naily [24]

Answer:Do rise over run, maybe watch a tutorial on it, pretty simple method

7 0
3 years ago
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A group of employees is stranded on top of a 120 feet building because a fire occurred. Your goal is to throw a rope from a 60 f
Paul [167]

Step-by-step explanation:

-16t² + 64t + 60 = 120

this is a quadratic equation, and its points of f(t) = 0 can be calculated. there are usual 2 such solutions for a quadratic equation.

so, we need to bring it to a form that ends in "= 0".

-16t² + 64t - 60 = 0

that is also the same as

-4t² + 16t - 15 = 0

the formula for the solutions of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = -4

b = 16

c = -15

so,

t = (-16 ± sqrt(256 - 4×-4×-15))/(2×-4) =

= (-16 ± sqrt(256 - 240))/-8 =

= (-16 ± sqrt(16))/-8 = (-16 ± 4)/-8

t1 = (-16 + 4)/-8 = -12/-8 = 3/2

t2 = (-16 - 4)/-8 = -20/-8 = 5/2

so, it depends on what the unit of time t is. let's assume seconds.

therefore, the rope will reach the top of the building while going up after 3/2 = 1 1/2 = 1.5 seconds.

and then, as the shot rope makes a curve and comes back down again (that is why we have 2 solutions : the rope will reach the height of 120ft during its flight path twice : once while still going up, and once when coming back down again) it will be at the height of the top of the building after 5/2 = 2 1/2 = 2.5 seconds.

so, it depends if the people there can grab it at the first chance, and if the path of the rope would allow them to grab it also again on its way back down. this we don't know.

I therefore guess, that your teacher is aiming for the first solution.

4 0
3 years ago
Find the first derivative of y = sin^2(cos2x)
AveGali [126]
Hello,

y=sin²(cos(2x))
y'=2*sin(cos(2x))*cos(cos(2x))*(-sin(2x)*2)
= -4*sin(cos(2x))*cos(cos(2x))*sin(2x)
4 0
3 years ago
Order the numbers from least to greatest.<br><br> 1.25, 11, -0.41, -0.41111..., -16, 3/7
Zepler [3.9K]

Answer:

- 16 <  - 0.41111... <  -0.41 <  \frac{3}{7}  < 1.25 < 11

Step-by-step explanation:

\frac{3}{7}  = 3 \div 7  = 0.428...

5 0
3 years ago
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