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2 years ago

QUESTION 4 What is the slope of the line passing through the points (1, –5) and (4, 1)? 2 -4/5 5/4 –2

Mathematics

1 answer:

Marat540 [252]2 years ago

5 0

Answer:

slope = 2

Step-by-step explanation:

to calculate the slope m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (1, - 5) and (x₂, y₂) = (4, 1 )

m = $\frac{1+5}{4-1}$ = $\frac{6}{3}$ = 2

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. [15 points] Alex is at the northernmost point of a circular parking lot with radius 26 feet. Dylan stands 22.4 feet west and 2

valentina_108 [34]

Answer:

31.925 ft

Step-by-step explanation:

A diagram is needed to visualize Dylan's movement to Alex see below

thus (-22.4)² + y² = 26²

y² = 26² - (22.4)² = 174.24

y = -√174.2 = - 13.2 ft note due south

closest point at intersection

3/11* ( x- 26) = -11/3 x * + 26

3/11 x - 78/11 = -11/3x + 26

3/11 x +11/3x = 26 + 78/11

130/33 x = 364/11

x = 364/11 * 33/130 = 8.4

then y = 3/11 * (x -26)

x = 8.4 substitute, gives y = 3/11 * (8.4 -26) = -4.8

distance from (8.4 , -4.8) to (0 , 26)

√[(0 -8.4)² + ( 26-(-4.8))² ] = √[( -8.4)² + ( 30.8)² ] = 31.925 ft

5 0

2 years ago

What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4

natima [27]

Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

7 0

2 years ago

A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?

Sonja [21]

volume of the ball = 4/3 * PI *r^3 =

4/3 * 3.14 * 2.86^3 = 97.99 cubic inches

this is less than the volume of the box, so yes it will fit

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What point is the projection of Q on RT?????<br><br> A) R<br> B) S<br> C) T

goblinko [34]

The answer is S it’s the midpoint

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How do you know that 4/11 is a repeating decimal?

Leokris [45]

Answer:

by dividing it= 4/11

=0.363636363636

3 0

2 years ago