Point N(7, 4) is translated 5 units up.
1 answer:
It is given in the question that
Point N(7, 4) is translated 5 units up.
And we have to find the coordinates of its image after this transformation.
Since the point translated up by 5 units, so the x coordinate remains same and we have to add 5 to y coordinate.
So the new coordinate after the transformation is
And that's the required coordinate after the given transformation .
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Answer:
Choices 1 and 4 are correct.
Step-by-step explanation:
We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:
Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be . Therefore, if the line's slope is 3, then we need to find answers with a slope of
.
The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where. The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:
Equations like these can be real sneaky, so it's important not to jump to conclusions with them.
ANSWER:
1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07 mm
EXPLANATION:
<em>1. Know that the circumference formula for a full circle is:</em>
The value of pi () = 3.14
The radius () will be given in the diagrams.
<em>2. Now we can figure out the perimeters. </em>
<u>Shape One: Semi-circle</u>
C = 2 x 3.14 x 5
C = 31.4 cm
Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).
P =
P = 25.7 cm ≈ 25.70 cm
<u>Shape Two: Semi-circle</u>
C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)
C = 37.68 cm
Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).
P =
P = 30.84 cm
<u>Shape Three: Quadrant</u>
C = 2 x 3.14 x 3
C = 18.84 km
Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).
P =
P = 10.71 km
<u>Shape Four: Quadrant</u>
C = 2 x 3.14 x 0.3
C = 1.884 km
Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).
P =
P = 1.071 km ≈ 1.07 km
<u>Shape Five</u>
C = 2 x 3.14 x 1
C = 6.28 cm
For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:
C =
C = 6.28 - 1.57
C = 4.71 cm
Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.
P = 4.71 + 2
P = 6.71 cm
<u>Shape Six</u>
C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)
C = 9.42 cm
Do the same thing you did for Shape 5.
C =
C = 7.065 mm
Then add the flat sides (1.5 + 1.5 = 3) to this circumference.
P = 7.065 + 3
P = 10.065 mm ≈ 10.07 mm