Answer:
1/2
Step-by-step explanation:
Please kindly check the attached file for explanation
Answer:
x ≤ -7
(-∞, -7]
Step-by-step explanation:
3x + 5
2x - --------------- ≤ -10
4
1. Multiply 4 on both sides. This eliminates the denominator 4
3x + 5
(4)2x - --------------- ≤ -10(4)
4 (4)
2. Combine like terms
8x - (3x + 5) ≤ -40
8x - 3x - 5x ≤ -40
= 5x - 5 ≤ - 40
3. Add 5 on both sides
5x - 5 ≤ -40
+5 +5
5x ≤ -35
4. Divide
5x ≤ -35
÷5 ÷5
x ≤ -7 or (-∞, -7]
I hope this helps!
The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points and ratio m:ncan be calculated using the below given formula:
(X,Y)=.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Learn more about line segment at brainly.com/question/2437195
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It will be 90 days until they are at the movies again.
Answer:
Step-by-step explanation:
Please find the attached image for the quadrilateral QRST.
We have been given that . We are asked to find the area of quadrilateral QRST.
Upon looking at the image of quadrilateral QRST, we can see that quadrilateral QRST is a kite as it has one pair of diagonally opposite equal angles (98 degrees).
We know that area of kite is equal to half the product of its diagonal.
We can see from our image that QS and RT are diagonal of kite, so the area of quadrilateral QRST would be:
Therefore, the area of quadrilateral QRST is 216 square units.