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2 years ago

11

Fill in the blanks please!!

1 answer:

galina1969 [7]2 years ago

4 0

Answer:

6,I can't help with the second one I wasn't good with that parallel lines

Step-by-step explanation:

Y2-Y1. So 3-9. 6

--------- - - -- = - - =6

X2-X1. 1-2. 1

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How can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating

cestrela7 [59]

The y values decrease as the x values increase. If you picture the points in your head, you’ll see that (2,2) is to the right and lower than (-3,5), creating a negative slope.

3 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

30 POINTS SEND ASAP OR I WONT SEE IT! Do both

Kobotan [32]

Answer:

ITS "B"

Step-by-step explanation:

5 0

3 years ago

The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.

inysia [295]

Answer:

The nearby building is $135 \dfrac{5}{9}$ feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is $\dfrac{4}{9}$ as tall as the statue of liberty.

To find the height of the building, you need to find $\dfrac{4}{9}$ of 305:

$\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet$

Thus, the nearby building is $135 \dfrac{5}{9}$ feet tall.

5 0

3 years ago

Plzz hellp :( i will mark you the brainlist if some on helps (A rectangular prism has a length of 1 1/4 yards, a width of 2 1/2

Veseljchak [2.6K]

The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length $1 \frac{1}{4}$ yards, width $2 \frac{1}{2}$ yards and height of 4 yards will be:

$V=1 \frac{1}{4} * 2 \frac{1}{2} *4 \\ \\ 
V= \frac{5}{4}* \frac{5}{2}*4 \\ \\ 
V= \frac{25}{2} \\ \\ 
V=12 \frac{1}{2}$

Thus the volume of prism as a mixed number in simplest form will be $12 \frac{1}{2}$ cubic yards

4 0

3 years ago