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3 years ago

Find the slope of the line passing through the points (5,7) and (-4,2).

Mathematics

2 answers:

White raven [17]3 years ago

7 0

Answer: A

Step-by-step explanation: m=y2-y1/x2-x1

2-7/-4-5

-5/-9

Simplify by -1

5/9

Andre45 [30]3 years ago

6 0

Your answer is A!

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You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.

trasher [3.6K]

Answer: B

Explanation

When rolling a dice, no matter how many times you get an outcome, it can never determine the exact outcome of the next roll, hence it is termed an independent event.

Hope this helps :)

5 0

3 years ago

Can please someone help me? The question is in the picture. Thank you

maxonik [38]

Answer:

C. $9\pi$

Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

$(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}$ (1)

$x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)$

$x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17$

$4\cdot x^{2} -20\cdot x + 16 = 0$

$(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0$

$(2\cdot x -8)\cdot (2\cdot x -2) = 0$

There are two different solutions:

$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

$x_{1} = 4$

$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

$x_{2} = 1$

$UV = 2\cdot (1) - 4$

$UV = -2$

$WU = 1 - 1$

$WU = 0$

$WV = 1 + 1$

$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

$A = \pi\cdot (9)$

$A = 9\pi$

The correct answer is C.

6 0

3 years ago

(7t-2)-(-3t+1)=-3(1-3t)

Aleksandr-060686 [28]

First you need to multiple minus in second bracket, also in other side you need to multiple - 3 in bracket

$7t - 2 + 3t - 1 = - 3 + 9t \\ \\ 10t - 3 = - 3 + 9t \\ 10t - 9t = - 3 + 3 \\ t = 0$
Final answer is 0

5 0

3 years ago

The length of a rectangular garden is 10 feet longer than its width. if the garden's perimeter is 184 feet, what is the area of

Annette [7]

Width = w
length = w + 10
perimeter 2w+2l=184

2w + 2(w+10) = 184
2w + 2w + 20 = 184
4w = 164
w = 164/4 = 41

w = 41
l = 51

Area = wl
Area = 41×51 = 2091 Sq ft

8 0

3 years ago

What is 5.4 + (-3.6)

masya89 [10]

Answer:

1.8

Step-by-step explanation:

3 0

3 years ago