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Paul [167]
3 years ago
5

Help please. Thanks in advance

Mathematics
1 answer:
anygoal [31]3 years ago
6 0
Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.

Get each equation in 'y=mx+b' form
1)  y = -x + 9
2)  y = 2x-21
3)  y = -4x +15

Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:

1) = 2)
2x -21 = -x+9
3x = 30
x = 10  -----> y = -(10)+9 = -1


1) = 3)
-x+9 = -4x+15
3x = 6
x = 2  -------> y = -(2) + 9 = 7

2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6  ---------> y = 2(6) -21 = -9

Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)
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Which expression is equivalent to (2^1/2x2^3/4)^2?
kkurt [141]
<span>(2^1/2x2^3/4)^2
</span><span> ((2^1/2)(2^3/4))^2
</span> ((2^1/2)^2)((2^3/4)^2)
 (2)(2^3/2)
 (4*2^3)^(1/2)
 (2*2*2^3)^(1/2)
 (*2^5/2)
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  b. <span>sqrt 2^5</span> 
5 0
3 years ago
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f
pav-90 [236]

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

The coordinates of the triangle are given as:

R = (-5,6)

S = (3,4)

T = (-2,2)

The area (A) of a triangle from its coordinates or vertices are:

A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|

Substitute values for x's and y's

A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Hence, the expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Read more about areas of triangles at:

brainly.com/question/9664477

6 0
2 years ago
PLEASE HELP ME WITH THIS!!! 25 POINTS ALSO PLEASE TRY TO ANSWER A AND B
professor190 [17]

Step-by-step explanation:

____________________

5 0
3 years ago
Classify triangle by its<br> Aangles and sides
goldenfox [79]

Answer:

Triangle is a three(3) sided shape i.e it has 3 sides and angles. Triangle can classify based on its side (length and equality) and size of its angles.

Step-by-step explanation:

A, Classification by sides: There are three types of triangle base on sides. These are:

1. Scalene Triangle : This describe triangle that has none of its side to be equal. i.e none of the three sides has no equal length.

2. Isosceles Triangle : This describe triangle that has two of its side equal. Also two of the angles are equal.

3. Equilateral Triangle : This describe triangle that has all its side equal i.e all three sides have equal length.  Also all angles are of equal sizes.

B. Classification by size of angle: There are four types of triangle base on classification by angle:

1. Acute Triangle : This describe triangle with all three angles less than 90 degree.

2. Obtuse Triangle  : This describe triangle that has one of its angle greater than 90 degree

3. Right Angled Triangle :  This describe triangle with one of its angle equal 90 degree.  

7 0
3 years ago
Given that the quadrilateral QRST is a parallelogram, m∠S = 6x + 6 and m∠R =3x + 24, what is the measurement of ∠S?
german

Answer:

42°

Step-by-step explanation:

→ Since this quadrilateral is a parallelogram, ∠S is equal to ∠R. Let's represent the situation in terms of equations

6x + 6 = 3x + 24

→ Minus 3x from both sides to collect the 'x' terms

3x + 6 = 24

→ Minus 6 from both sides isolate 3x

3x = 18

→ Divide by 3 on both sides isolate x

x = 6

<em>⇒ The value of x is 6, but this isn't the measurement of ∠S, we need to substitute in x = 6 into the expression 6x + 6</em>

6 (6) + 6 ⇔ 36 + 6 = 42°

3 0
3 years ago
Read 2 more answers
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