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3 years ago

What is the slope of the line that passes through the points (−2,−5) and (−3,−6)?

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

Answer:

Hi there!

The answer to this question is: 1

Step-by-step explanation:

use the change of y over change of x (delta y over delta x) to get the slope

(-5 - (-6)) / (-2 - (-3)) =1

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Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p

11111nata11111 [884]

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

$\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft$

8 0

3 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

If the function f(x)=(2x-3)^3 is transformed to g(x)=(-2x-3)^3, which type of transformation occurred

spayn [35]

Answer:

The function g(x) is a reflection of f(x) across the y-axis.

Step-by-step explanation:

8 0

3 years ago

Simplify this expression please and thank you

Sergeeva-Olga [200]

The answer is 2x-y

step-by-step explanation
in order to simplify you have to come one like terms and in this case you have your 3x and you’re subtracting x which is also know as 1x.
3x - 1x = 2x (then you still have your y) so 2x-y

8 0

2 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a) a

Ilya [14]

Answer:

Step-by-step explanation:

6 0

3 years ago