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3 years ago

A line passes through the points (3, –1) and (5, 4). What is the slope of the line?

Mathematics

2 answers:

forsale [732]3 years ago

6 0

Answer:

D) 5/2

Step-by-step explanation:

(3, –1) and (5, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4 + 1)/(5 - 3)

m= 5/2

Inessa [10]3 years ago

4 0

Answer:

5/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

= (4 - -1)/(5 - 3)

= (4+1)/(5-3)

= 5/2

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Use the quadratic function f(x) = 2x2 + 4x +3 to answer the following questions.

GuDViN [60]

The vertex is (-1,1)

Explanation

The vertex formula to find the x coordinate of the formula is -b/2a

So we plug in the values into the formula which is

-4/2(2)

Simplify it

-4/4
=-1
-1 is now the x cord of the vertex.

So now we will plug in the x into the quadratic equation which is 2x^2+4x+3

2(-1)^2 + 4(-1) + 3 = 2 -4 +3

Simplify it

5 - 4= 1

Y=1
So the Coordinates of the vertex is (-1,1)

8 0

3 years ago

Which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2?

diamong [38]

the answer is on the photo

4 0

2 years ago

The sum of two number is 19, and their difference is 1. Let x be the larger number and y be the smaller number. Write the first

xz_007 [3.2K]

X= 10 y= 9 the difference between the two numbers is one and they equal 19

8 0

3 years ago

A=1/2b(c+d) solve for c

TiliK225 [7]

Answer:

c = $\frac{2A}{b}$ - d

Step-by-step explanation:

Multiply both sides by 2 to eliminate the fraction

2A = b(c + d) ← divide both sides by b

$\frac{2A}{b}$ = c + d ← subtract d from both sides

$\frac{2A}{b}$ - d = c

5 0

3 years ago

Could i have some really really quick help?

nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

$h=-5t^2+150t$

where:

h = height (in metres)
t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

$h=-5t^2+150t$

$\implies h=-5t^2+150t-1125+1125$

$\implies h=-5(t^2-30t+225)+1125$

$\implies h=-5(t-15)^2+1125$

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.

<u>Method 2</u>

Differentiate the function:

$\implies \dfrac{dh}{dt}=-10t+150$