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maks197457 [2]
2 years ago
11

Find the slope of the line through the points (-4, 3) and (3, 5)

Mathematics
2 answers:
Amanda [17]2 years ago
6 0

Answer: 2/7

Step-by-step explanation:

Slope is ∆y/∆x. ∆ is read as "delta". The "delta" sign means "the difference between". So that means the difference between the y-coordinates divided by the x-coordinates gives us slope. Therefore, using the coordinates, 5-3 gives us the rise. And 3-(-4) gives us the run. Rise/Run is also equivalent to the slope. Thus, our final answer is 2/7.

lukranit [14]2 years ago
3 0
Use the formula y2 -y1/x2-x1
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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
The line plot shos the number of hours students spend watching tv each night. Describe the data. Include measures of center vari
neonofarm [45]
I have no idea how about it lol lol yeah yeah
7 0
2 years ago
Ritu is travelling by a car at a speed of
faltersainse [42]

Answer:

40 min is the answer

Step-by-step explanation:

To solve this we need to convert all the units into SI units

for ritu,

speed= 90km/hr

= 90 × 1km/ 1hour

= 90×1000/3600 m/s

= 25m/s

distance = 120×1000m

time = distance/ speed

= 120000/25

= 4800sec

= 4800/60min

= 80 min

for garima,

distance =120×1000m

speed = 60km/hr

= 60×1000/3600 m/s

=100/6 m/

time = 120000/(100÷6)

= 7200sec

= 7200÷60 min

= 120 min

time difference is 120-80 = 40 min

4 0
2 years ago
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