Which inequality is true?
b TCR
d 5 > 1
C

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21

Answer:

x can be all real numbers

Step-by-step explanation:

1 - 5x = -5x + 1

-5x+5x=1-1

0=0

Answer:

1/10

Step-by-step explanation:

5x=-5x+1

Move the variable to the left hand and change its sign

5x+5x=1

10x=1

x=1/10

Answer:

the angle measurement is 75

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

use ur head

DG, DM, DS, DT GD, GM, GS, GT MD, MG, MS, MT, SD, SG, SM, ST, TD, TG, TM, TS. Those are all the possible combinations using each letter only once in each set.

In short, you can make 20 sets.

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

Answer:

The probability of snow is about 0.75

Step-by-step explanation:

Answer:

[tex]3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}[/tex]

Answer:

x < −2

Step-by-step explanation:

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

3x + 2 < −4

Step 1: Subtract 2 from both sides.

3x + 2 − 2 < − 4 − 2

3x<−6

Step 2: Divide both sides by 3.

3x / 3 < −6 / 3

x < −2

Answer:

x < −2

Hope this helps :)

Answer:

she washes 5 cars per hour

Answer:

Sue washes 5 cars an hour

Step-by-step explanation:

25/5 = 5 cars an hour

Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.

I hope it is helpful

Answer:

40

Step-by-step explanation:

4 times 10 equals 40

i news more sownfjdhe

Answer:

Thank you....... I guess

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

D. 2 inches.

Step-by-step explanation:

Given the following data;

Volume of golf (sphere) = 4 in³

A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the equation, we have;

[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]

Cross-multiplying, we have;

[tex] 12 = 4 * 3.142* r^{3} [/tex]

[tex] 12 = 12.568 * r^{3} [/tex]

[tex] r^{3} = \frac {12.568}{12} [/tex]

[tex] r^{3} = 1.0473 [/tex]

Taking the cube root of both sides, we have;

Radius, r = 1.016 inches.

To find the diameter;

Diameter = radius * 2

Diameter = 1.016 * 2

Diameter = 2.03 ≈ 2 inches.

Answer:

the answer is 2.

Step-by-step explanation:

i just did this question on the exam

Answer:

200miles

Step-by-step explanation:

Given data

Rent-For-Less

charges $50 for a deposit and $1.25 per mile

let the number of miles be x

and the total distance be y

y=50+1.25x-------------1

Cheap Rides

charges $1.30 per mile and a $40 deposit

y=40+1.30x-------------2

Equate 1 and 2 above we have

50+1.25x=40+1.30x

collect liker terms

50-40= 1.3x-1.25x

10=0.05x

divide both side by 0.05

x= 10/0.05

x=200 miles

Hence the distance in miles is 200miles

Answer:

Unit rate is 1.5

Step-by-step explanation:

4 pounds  = $6

Divide 6 by 4 = 1.5

Check: 4 * 1.5 = 6

Hence,

1 pound = $1.5

Hope this helps :)

Answer:

if your considering 1 each, 20.

Step-by-step explanation:

1 goes into 20,20 times

although....its 2021 now so I dont know (answer: 20).

Answer:

20

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

Answer:160

Step-by-step explanation:

Answer:

x= 2

y=4

Just subtract by like numbers.

x + 2y = 10

x + y = 6

Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.

x + 2y = 10

-x - y = -6

Subtract.

y = 4

Now that we figured out y, we have to figure out x. Substitute y into one on the equations.

x + 4 = 6

x = 2

Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.

Answer:

A. x = -3

B. x = 2

C. x = 9/10

Step-by-step explanation:

(A) –12x + 9 = –15x

Collect like terms

9 = -15x + 12x

9 = -3x

x = 9 / -3

x = -3

(B) 4.5x + 11.5 = 8.5x + 3.5

4.5x - 8.5x = 3.5 - 11.5

-4x = -8

x = -8 / -4

x = 2

(C) 23x – 9 = 13x

-9 = 13x - 23x

-9 = -10x

x = -9 / -10

x = 9/10

Answer:

A) x= -3

B) x = -2

C) x = 27

Explanation: I did the lesson

Answer:

$5,308.42

Step-by-step explanation:

(see attached for reference)

recall that the formula for Depreciation

is given by

A = P ( 1 - r)^t,

where

A = final amount

P = principal amount = given as $6,000

r = depreciation rate = given as 4% = 0.04

t = time in years = given as 3,

Simply substitute these into the equation to get:

A = P ( 1 - r)^t

= 6000( 1 - 0.04) ^ 3

= 6000 (0.96)^3

= $5,308.42

Answer:

no because she would get the same total if she added it before or after

Step-by-step explanation:

Answer:

[tex]37.7\ \text{foot}[/tex]

Step-by-step explanation:

The length of the edging will be equal to the circumference of the circular flower garden.

Here, the diameter of the circular garden is [tex]d=12\ \text{foot}[/tex]

Circumference of a circle is given by

[tex]C=\pi d\\\Rightarrow C=3.14\times 12\\\Rightarrow C=37.68\approx 37.7\ \text{foot}[/tex]

The length of the edging is [tex]37.7\ \text{foot}[/tex].

Answer:

x = 4 ± [tex]\sqrt{73}[/tex]

Step-by-step explanation:

d it is the answer all the way at the bottom

Answer:

112 cm.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle IJK:

We can find the length of j using cosine rule:

[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]