Answer:
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Step-by-step explanation:
The perimeter of a triangle is the sum of all three sides
3x+2y + 11x+y = 91
Combine like terms
14x +3y = 91
The lines mean the sides are equal
3x+2y = 11x
Simplify
Subtract 3x from each side
3x-3x+2y = 11x-3x
2y = 8x
Divide by 2
2y/2 = 8x/2
y = 4x
Substitute 4x in the first equation every time you see y
14x +3y = 91
14x +3(4x) = 91
14x+12x=91
26x = 91
Divide by 26
26x/26 =91/26
x = 3.5
Now we can find y
y = 4x
y = 4(3.5)
y = 14
We know x and y we can find the length of each of the sides
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Answer:
b=5
Step-by-step explanation:
C(1,3) and point D(4,-3)
Since we want the equation in slope intercept form we must first calculate the slope (m):
By point slope formula and using point C (1,3) we have:
So the slope is -2 and the y -intercept (b) is 5.
X=7/12
Alright so let's solve this! :)
••• Subtract 3w from both sides.
<span><span><span><span>5w</span>+3</span>−<span>3w</span></span>=<span><span><span>3w</span>+10</span>−<span>3w</span></span></span><span><span><span>2w</span>+3</span>=10
</span>••• Subtract 3 from both sides.
<span><span><span><span>2w</span>+3</span>−3</span>=<span>10−3</span></span><span><span>2w</span>=7
</span>••• Divide both sides by 2.
<span>2w/2</span>=<span>7/<span>2
</span></span>=<span>7/2
and then 7/2=3.5</span>
Answer:
-88x + 10y
Step-by-step explanation:
-5x+3y= -93x+7y=23
we cannot do anything to numbers with unlike signs so we will do this
23=-5x+3y=-93x+7y
now we will take the numbers with like signs to one place like this
23=-5x+93x+3y+7y
now we can solve this
- x + = -
+ x+=+
-x-=-
23= 88x+10y ANSWER
The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
Learn more about reflection
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