Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

Answer:

A = 8.75 cm²

Step-by-step explanation:

Given that,

Radius, r = 5 cm

The arc length, l = 3.5 cm

We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,

[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]

The formula for the area of sector when [tex]\theta[/tex] is in radian is  given by :

[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]

So, the area of the sector is 8.75 cm².

Answer: (b)

Step-by-step explanation:

Given

the radius of circle r=5 cm

arc length  [tex]l=3.5\ cm[/tex]

Arc length is also given by

[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]

[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]

Area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Answer:

64 pi

Step-by-step explanation:

Area of a circle is pi(r) ^ 2

The radius is half the diameter, so it would be 8 mi.

Pi ( 8 ) ^ 2

Pi ( 64 )

It would be 64 pi

Answer:

I believe it will be day 3

Step-by-step explanation:

Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85

day 2 (H)

130

day 2 (E)

130

day 3 (H)

170

day 3 (E)

175

Answer:

just multiply

76x475=36100 apples

Answer:

Please find attached the Box Plot Created with Microsoft Excel

The outliers are 11, and 14

Step-by-step explanation:

The given data is presented as follows;

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

From the data, we have;

The first quartile, Q₁ = 1

The second quartile, (The median) Q₂ = 2.5

The third quartile, Q₃ = 4.75

Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75

Therefore, the values above Q₃ + 1.5 × IQR are outliers

Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375

Therefore, 11, and 14 are outliers

The boxplot created with Microsoft Excel is attached

Answer:

9#  415     10# 2 hotdogs and one hamburger

Step-by-step explanation:

Hope this helps!!!  

have a great day!

Answer:

$50

Step-by-step explanation:

hoped I helped

and p.s. dont click the link

Answer:

the answer is 30

Answer:

What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.​

Step-by-step explanation:

Next time, dont trust me to answer things correctly.

Answer:

C,A,D,D

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

apr is 500

Step-by-step explanation:

im an idiot sorry for waisting your time

The annual percentage rate is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (162.50 \times 2 \times 100\%) \div \$5,000[/tex]

= 6.5%

Therefore we can conclude that the annual percentage rate is 6.5%.

Learn more: brainly.com/question/24169758

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Answer:

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

Substitute values and solve:

Answer:

The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations

Step-by-step explanation:

The study tested if drinking bear increases the attractiveness to mosquitoes

The number of people the taking part in the study, n = 30 people

The total number of mosquitoes in the study = 50 mosquitoes

The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear

The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]

Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Where the pooled mean, [tex]\hat p[/tex], is given as follows;

[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]

Answer:

7x+28

Step-by-step explanation:

7(x+4)

Use the distributive property to multiply 7 by x+4.

7x+28

Graph if needed:

Answer: The blue circle is 62.83 and the orange is 31.42

Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.

Answer:

x = 10

Step-by-step explanation:

Angles are congruent b/c of the corresponding angles thm

6x + 8 = 3x + 38

3x = 30

x = 10

Answer:

[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]

Answer:

a trapezoid can have either 2 right angles or no right angles at all

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

x+10<78

Step 1: Subtract 10 from both sides.

x+10−10<78−10

x<68

Answer:

x<68

Answer:

this one (look attachment):

Answer:y=x+5

Step-by-step explanation:

Answer:

its sas side angle side plz mark me branliest

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

Step-by-step explanation:

x-3=14

x=14+3

x=17

verification

x(17)-3=14

17-3=14

14=14

Answer:

x^2-x-3

Step-by-step explanation:

x^2-2-x-1

x^2-x-3