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3 years ago

Explain how you can determine if four points lie on a single parabola

2 answers:

5 0

Four points in the plane determine two conjugate parabolas, each of which ... system we can fit a second degree polynomial to the three points P1,P3,P4. ... of the quadratic give the two orientations in which the four points lie on a single ... shows that if a parabola with vertical axis intersects a horizontal line at points P,Q

cestrela7 [59]3 years ago

5 0

1.) Plug them into the equation

2.) They should all be symmetric to some line. If this is a slant asymptote, it's much harder to determine. However, if you are being asked this question, I would guess you're taking either Algebra I or II. In which case there should be a vertical or horizontal line they are symmetric to... and there should be 2 sets of points with equivalent X OR Y values.... determine the line. If you're able to, they're on a parabola....if not, they probably aren't.

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Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the

Vilka [71]

Answer:

Step-by-step explanation:

The rate if increase of side of square is 7cm/s

dL/dt=7

At what area is the area increasing

dA/dt=?

Areas of square is give to be 36cm²

Analysis

Let L be the length of each side of the square, a square has equal side.

Area of square is give as L²

Area=L²

L²=36

i.e L=√36

L=6cm

Therefore at t=0 L=6cm and A=36cm²

A=L²

dA/dL=2L

Given that, dL/dt=7

Multiply the two differential together

dA/dt= dA/dL × dL/dt

dA/dt= 2L × 7

dA/dt= 2×6×7

dA/dt= 84cm²/s

The rate of increase of the square is 84cm²/s

4 0

3 years ago

ROOTS AND CUBES Can someone please help me answer all 4 following?

Alex Ar [27]

NOTES:

squared (²) means multiply that number by itself 2 times
cubed (³) means multiply that number by itself 3 times
square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical

Answer: (C) 41

Step-by-step explanation:

$\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41$

***************************************************************************************

Answer: (C) 10

Step-by-step explanation:

$\bigg(\dfrac{7}{3}\times \sqrt[3]{27}-2\bigg)\times \dfrac{1}{5} + \sqrt{81}$

$=\bigg(\dfrac{7}{3}\times \sqrt[3]{3\cdot 3 \cdot 3}-2\bigg)\times \dfrac{1}{5} + \sqrt{9\cdot 9}$

$=\bigg(\dfrac{7}{3}\times3-2\bigg)\times \dfrac{1}{5}+9$

$=(7 - 2)\times \dfrac{1}{5}+9$

$=5 \times \dfrac{1}{5}+ 9$

$= 1 + 9$

$= 10$

***************************************************************************************

8² = 8 · 8 = 64 11² = 11 · 11 = 121

5³ = 5 · 5 · 5 = 125 3³ = 3 · 3 · 3 = 27

$\sqrt{1600}=\sqrt{40\cdot 40}=40$ $\sqrt[3]{64}=\sqrt[3]{4\cdot 4\cdot 4}=4$

$\sqrt{144}=\sqrt{12\cdot 12}=12$ $\sqrt[3]{8000}=\sqrt[3]{20\cdot 20\cdot 20}=20$

3 0

3 years ago

Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3

anastassius [24]

Answer:

3.4 gigabytes

Step-by-step explanation:

Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.

3 0

3 years ago

How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet

N76 [4]

Answer:

Part (A) The required ways are 792.

Part (B) The required ways are 101376.

Step-by-step explanation:

Consider the provided information.

Part (A) The alphabet {a, b}

The length of strings is 12 that containing exactly five a's.

The number of ways are: $\frac{12!}{5!7!}$

After filling "a" we have now 7 places.

For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.

Thus, the required ways are: $\frac{12!}{5!7!}\times 1=792$

Part (B) The alphabet {a, b, c}

We have selected five a's now we have now 7 places.

For 7 places we have "b" and "c".

Thus, there are 2 choices for each 7 place that is $2^7$

Therefore the total number of ways are: $792\times 2^7=101376$

Thus, the required ways are 101376.

7 0

4 years ago

How do you find the area of a triangle?

kirza4 [7]

Hello!

We use formulas to find the areas of different shapes. The formula for the area of a triangle is:

1/2 bh

These means that you must multiply the base by the height and then divide it by two.

Good Day!

4 0

3 years ago