Answer:
y = -2x-8 ------> the equation of the line
Step-by-step explanation:
y = mx + b
8 = -2(-8)+b
= 16 + b
-16 -16
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-8 = b
y^2 - y^1 / x^2 - x^1
= 8-(-6) / -8-(-1)
= -14/7
= m = -2
Final answer: y = -2x-8
Answer:
(c) Triangle Z Y X is similar to triangle C B A
Step-by-step explanation:
Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.
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<h3>corresponding sides</h3>
The side lengths, smallest to largest, for the two triangles are ...
- 3 cm -- ZY
- 6 cm -- YX
- 7 cm -- XZ
And for the other triangle, ...
- 6 cm -- BC
- 12 cm -- AB
- 14 cm -- AC
<h3>corresponding vertices</h3>
The points joining the each side to the next one longer, in order for the two triangles, are ...
Y, X, Z and B, A, C
The vertices corresponding to ZYX in the same order are CBA.
triangle ZYX is similar to triangle CBA
Area = side AB * side BC = (5x + 5x + 3)(3x + 92x - 4)
= (10x + 3)(95x - 4) = 950x^2 - 40x + 285x - 12
= 950x^2 + 245x - 12 Answer
This cannot be negative so restriction on x is 950x^2 + 245x > 12
That is x > 0.0421
B] The rule represents the reflection over y-axis is given by:
(x,y)⇒(-x,y)
c]Using this rule, the image would be located onto the pre-image when reflected again. This implies that it will be mapped onto the original point.
d] When the new pentagon is rotated 90° clockwise, the new coordinates will be as follows:
the rule for this rotation is given by:
(x,y)⇒(-y,x)
thus using the above rule new coordinates will be:
A"(-1,8), B"(-3,9), C"(-2,6), D"(-5,3) and E"(-1,4). The new figure is shown in the graph.
If the integer is x, and the inverse is 1/x, we have x-1/x=15/4 (since difference is subtraction). Multiplying both sides by x, we get x²-1=15x/4. Next, we can subtract 15x/4=3.75x from both sides to get x²-3.75x-1=0. Using the quadratic formula, we get
Since it has to be a positive integer, we get x=4