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JulijaS [17]
3 years ago
8

Please graph this and post photo for the answer. I'm giving good points​

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

Slope is 1/2

Step-by-step explanation:

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Solve the proportion for x. 4/(5x) = 8/9
Verdich [7]
4     8
---   -----
5x    9

5x*2=9
5x=4.5
x=4.5/5 or 0.9
5 0
3 years ago
Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?
algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.


Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.


Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.


So, the coordinates of the endpoint are T = (5,-13)


If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.


We have G = (-3, 5) and T = (x_T,y_T). The midpoint is computed as


A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)


So, you have the equations


\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4


Multply both equations by 2 to get


-3+x_T = 2,\qquad 5+y_T = -8


Move the constants to the right hand sides to get


x_T = 5,\qquad y_T = -13

8 0
3 years ago
How do you solve 5(3+k)=45
Helen [10]
We simplify the equation to the form, which is simple to understand
5(3+k)=45

Reorder the terms in parentheses
+(+15+5k)=45

Remove unnecessary parentheses
+15+5k=+45

We move all terms containing k to the left and all other terms to the right.
+5k=+45-15

We simplify left and right side of the equation.
+5k=+30

We divide both sides of the equation by 5 to get k.
k=6
7 0
3 years ago
Read 2 more answers
You roll a number cube numbered from 1 to 6. What is the probability that the number is a 3? (Answers are rounded to the nearest
labwork [276]

Answer:

1/6

Step-by-step explanation:

6 0
3 years ago
How to calculate a probability
Lelu [443]
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.

P=\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
2
3
4
5
6

Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2
6 0
3 years ago
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