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4 years ago

Which of these statements is an opinion?

Mathematics

2 answers:

Artist 52 [7]4 years ago

7 0

A because all of the others are facts because they are true.

kondaur [170]4 years ago

7 0

A. because it is something someone thinks or is just saying the others are facts that can be proven:D

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A triangle has side lengths of (1.2u+1.8v)(1.2u+1.8v) centimeters, (6.5u+8.7w)(6.5u+8.7w) centimeters, and (5.8w-6.9v)(5.8w−6.9v

Komok [63]

Answer:

7.7u - 5.1v + 14.5w

Step-by-step explanation:

Given length:

Side A = (1.2u+1.8v) centimeters,

Side B = (6.5u+8.7w) centimeters

Side C = (5.8w-6.9v) centimeters

Perimeter of a triangle = side A + side B + side C

= (1.2u+1.8v) + (6.5u+8.7w) + (5.8w-6.9v)

= 1.2u + 1.8v + 6.5u + 8.7w + 5.8w - 6.9v

Collect like terms

= 1.2u + 6.5u + 1.8v - 6.9v + 8.7w + 5.8w

= 7.7u - 5.1v + 14.5w

Therefore, the perimeter of the triangle is 7.7u - 5.1v + 14.5w

5 0

4 years ago

What is the y-intercept of f–1(x)?

wolverine [178]

Answer:

-16

Step-by-step explanation:

The given linear function is ; $f(x)=\frac{3}{4}x+12$

Let $y=\frac{3}{4}x+12$ .

We interchange x and y.

$x=\frac{3}{4}y+12$ .

We solve for y.

$x-12=\frac{3}{4}y$ .

We now multiply through by $\frac{4}{3}$ to get:

$\frac{4}{3}x-12\times\frac{4}{3}=y$ .

This simplifies to;

$y=\frac{4}{3}x-16$ .

Hence $f^{-1}(x)=\frac{4}{3}x-16$ .

The y-intercept is -16

8 0

3 years ago

Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3

vovangra [49]

$x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t$

$y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2$

The length of the curve $C$ is given by

$\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

$=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt$

$=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt$

$=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt$

$=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)$

$=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3$

$=4(10^{3/2}-1)$

$=40\sqrt{10}-4$

8 0

3 years ago

The length of a rectangle is twice it’s width. If the area of the rectangle is 72ft ^2, find it’s perimeter

alisha [4.7K]

Hi!

length = l = 2 * width = 2 * w

Area = l * w = l * 2 * l = 2 * l^2

2 * l^2 = 72

l^2 = 72/2 = 36

l = square root of 36

l = 6

l = 2 * w => w = l/2 = 6/2 = 3

Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet

Hope this helps!

7 0

3 years ago

Help me in math please

AURORKA [14]

The answer would be D. y=-2x+8

6 0

4 years ago

Read 2 more answers