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3 years ago

Write the equation of the line fully simplified slope-intercept form.

Mathematics

1 answer:

Archy [21]3 years ago

5 0

First find slope
Points given: (-5,6) (5,-2)
(-2-6)/(5+5) = -8/10 = -4/5
Y = -4/5x + b
Plug in any point
6 = -4/5(-5) + b
6 = 4 + b, b = 2
Solution: y = -4/5x + 2

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What is the best first step in solving the equation 3 + 3 sqrt 6x = 5

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3 years ago

Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0

Brrunno [24]

Answer:
The equation x² + 7 = 0 has no solution

Explanation:
1- using graph:
To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions

2- using algebra:
To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions

Hope this helps :)

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3 years ago

Read 2 more answers

Help me please. mad confused lol

SCORPION-xisa [38]

Answer:

P = 30 degrees, PQ = 6.93, PN = 8

Step-by-step explanation:

For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.

For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.

For PN, use cos60 = 4/x, or 4/cos60, which equals 8.

Hopefully this helps- let me know if you have any questions!

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3 years ago

0.25 l of milk every day.how much milk does he drink in 5 days?

tino4ka555 [31]

Answer:

1.25

Step-by-step explanation:

.25 x 5 = 1.25

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3 years ago

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In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo

Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

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3 years ago