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skelet666 [1.2K]
3 years ago
15

Find the gradient of the line segment between the points (2,3) and (4,7)

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

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Rachel is a stunt driver, and she's escaping from a building that is about to explode! DDD represents Rachel's remaining distanc
skelet666 [1.2K]

Answer:

38 m/s

Step-by-step explanation:

We are given that

D represent Rachel's remaining distance( in meters ) as  a function of time is given by

D=-38t+220

We have to find the Rachel's speed.

We know that

Velocity=\frac{ds}{dt}

Substitute the values then we get

v=\frac{d(-38t+220)}{dt}=-38 m/s

Speed =\mid v\mid

Speed =\mid -38\mid =38m/s

Hence, the Rachel's speed is given by =38 m/s

4 0
3 years ago
Pls answer this math problem
ankoles [38]

Answer:

  -5

Step-by-step explanation:

Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.

__

<h3>use x=4</h3>

When x=4, the equation becomes ...

  -3x +9y = -57

  -3(4) +9y = -57

  -12 +9y = -57

<h3>solve 2-step equation</h3>

The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.

  -12 +12 +9y = -57 +12 . . . . . add the opposite of -12

  9y = -45 . . . . . . . . . . . . . . simplify

The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.

  (1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9

  y = -5 . . . . . . simplify

6 0
2 years ago
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy
andriy [413]

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

4 0
2 years ago
What algebraic expression models the word phrase three fewer than the sum of c and d?
Serjik [45]
" the sum " means add

(c + d) - 3 <== ur expression
4 0
3 years ago
Read 2 more answers
You want to buy a bouquet of yellow roses and baby’s breath for $16 the baby’s breath cost $3.50 per bunch, and the roses cost $
Stolb23 [73]

•.,¸¸,.•´¯     '     ¯´•.,¸¸,.•`

: 5 !!! !

3 0
3 years ago
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