Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?

Answer:

x = -3 + i√6 and x = -3 - i√6

Step-by-step explanation:

Let's apply the "completing the square" method to find the roots of this equation.

Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x.  Then subtract the same quantity:

x^2 + 6x + 15 becomes

x^2 + 6x + 3^2 - 3^2 + 15 = 0

Rewriting the first three terms as the square of a binomial, we ge:

(x + 3)^2 - 9 + 15 = 0, which simplifies to:

(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6

Taking the square root of both sides:

x + 3 = ±i√6

Then the two roots are complex:

x = -3 + i√6 and x = -3 - i√6

Answer:

36miles

Step-by-step explanation:

Given parameters:

Rate  = 12mph

Time  = 3hr

Unknown:

Distance = ?

Solution:

The given rate amount is the speed. Speed is the distance divided by the time.

It is mathematically expressed as:

         Speed  = [tex]\frac{distance}{time}[/tex]  

    Distance  = Speed x time

    Distance  = 12 x 3  = 36miles

Answer:

v = 2

Explanation:

8(2 − 6v) + 19 = −61

[ Simplify both sides of the equation ]

8(2 − 6v) + 19 = −61

(8)(2) + (8)(−6v) + 19 = −61 (Distribute)

16 + −48v + 19 = −61

(−48v) + (16 + 19) = −61 (Combine Like Terms)

−48v + 35 = −61

−48v + 35 = −61

[ Subtract 35 from both sides ]

−48v + 35 − 35 = −61 − 35

−48v = −96

[ Divide both sides by -48 ]

−48v / -48 = −96 / -48

v = 2

- PNW

Answer:

6.4

Step-by-step explanation:

4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4

Answer:

85°

Step-by-step explanation:

x+32°+63°=180°(being sum of interior angle of triangle)

x=180°-95°

:. x=85°

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Answer:

Step-by-step 4explanation:

Answer:

B

Step-by-step explanation:

Answer:   c i think                                                      

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 4/9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 2021

A; electronic devices are protected from power surges by having insulated wires.

The option that does not state a principle related to why ground wires are an effective safety device is:

A. Electronic devices are protected from power surges by having insulated wires.

Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.

The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.

Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.

Hence, the correct answer is A.

Learn more about the insulated wires here:

https://brainly.com/question/3264493

#SPJ2

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

Answer:

i believe the answer that you picked is right ....i think ^^

Answer:

first

put the value of p(10) in the place n,

2-multiply -8×10^2+9×10

3-:- -8×100+90

4:-800+90=710ans

Answer:

true

Step-by-step explanation:

Answer:

20 pounds divided by 4

Step-by-step explanation:

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, that is

DE = AB , substitute values

6x - 7 = 11 ( add 7 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you look at it. X is basically -2, -1, 0, 1, or 2.

Hope I helped and Pls Mark Brainliest

Answer:

The computer has been on for 1.5 hours

Answer: c you welcome , also thx for points let me know how it feel failing your test

Step-by-step explanation:

Answer:

C 4/15 and 0.266 repeating

Step-by-step explanation:

I used a calculator

Answer:

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) t = -1

C) the rejection region will be;

p-value < 0.05

D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Step-by-step explanation:

We are given;

Population mean; μ = 3500

Population standard deviation; σ = 500

Sample mean; x¯ = 3400

Sample size; n = 25

We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.

Thus, the hypothesis is defined as;

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) sample size is less than 30, thus we will use a t-test.

Formula for the test statistic is;

t = (x¯ - μ)/(σ/√n)

t = (3400 - 3500)/(500/√25)

t = -100/(500/5)

t = -1

C) since the sample is small, let's assume a significance level of 0.05.

Thus,the rejection region will be;

p-value < 0.05

D) from online p-value from t-score calculator attached using;

t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;

p-value ≈ 0.3273

This is greater than the significance value of 0.05.

Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Answer:

(2, 1) or (1, 2)

Step-by-step explanation:

I not sure :3 I think its most likely (1, 2)

Answer:

wdym

Step-by-step explanation:

Answer:

71%

Step-by-step explanation:

All you have to do is divide 142 by 200 to get the percent, which is 70.

Answer:

I don't understand make is more simplify

Answer:

Step-by-step explanation:

As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100).  Thus, the slope of this line is

m = rise / run = -100/1 = -100.

The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).

The equation of this line in slope-intercept form is  y = -100x + 200