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azamat
3 years ago
12

Two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the tr

iangle.
Which set of coordinates for the third vertex would create a right triangle?

​ (8, 7) ​
​ (7, 8) ​
​ (4, 4) ​
​ (4, 8) ​

A graph with a triangle drawn between coordinates (1, 1), (1, 4) and (5, 1)

A graph with a rectangle drawn between coordinates (7, 7), (10, 7), (7, 17) and (10, 17)

Assessment menu bar
Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0
(7,8) is the answer hope this helps
vesna_86 [32]3 years ago
3 0
(7,8) I think is the answer your looking for
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Zigmanuir [339]
Explanation

Problem #2

We must find the solution to the following system of inequalities:

\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}

(1) We solve for y the first inequality:

-2y\leq4-3x.

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) over the line:

y=\frac{3}{2}x-2.

This line has:

• slope m = 3/2,

,

• y-intercept b = -2.

(2) We solve for y the second inequality:

\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) below the line:

y=-\frac{1}{3}x+2.

This line has:

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,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

• over the line from point (1),

,

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

8 0
1 year ago
For how many positive integer values of N will the expression 18/N + 2 be an integer?
astra-53 [7]
Hello : 
18/N + 2 be an integer if : N divisor of 18
<span>values of N are : 1 , 18  , 2 ,9  3 , 6  .</span>
3 0
4 years ago
Josie read 40 pages of a book in 50 minutes. How many pages could she read in two hours?​
pav-90 [236]

Answer:

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Step-by-step explanation:

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3 years ago
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aalyn [17]

Answer:

x equals 1 and 5

Step-by-step explanation:

x^2-6x+5

Factor: (x-1) (x-5)

The Zeroes: 1 and 5

The zeroes are the numbers that make the equation equal to zero.

5 0
4 years ago
In which cases would the boundary line be represented by a dashed line when graphing an inequality?
Anarel [89]
Boundary lines are dotted whenever the sign is strictly greater than or less than.

The only reason a line is not dashed would be that it would be equal to. A quick way to remember this would be that the extra line provided to make it equal would fill in the blanks. Hope this tip helps you, helped me ace many tests!
7 0
3 years ago
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