Answer:
Step-by-step explanation:
Answer: length is 8
Step-by-step explanation:
its just 24 divided by 3 = 8
Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
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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<u>Let's take this problem step-by-step</u>:
<u>Let's take the case of the tennis ball first</u>:
⇒ the diameter of the balls are 2.7inches
⇒ therefore they are spheres with diameters of 2.7 inches
⇒ <em>for an x-ray</em> <u>they are circles with a diameter of 2.7in</u>
<u>Now for the cylinder container</u>:
⇒ It has a width of 2.7inches
⇒ Its height:
⇒ is three balls stacked together
⇒ Height is 3 * 2.7in = 5.4 inches
⇒ <u>Overall dimension: A rectangle that is 2.7 in x 8.1 in</u>
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<u>Answer:</u>
- <u>A circle with a diameter of 2.7 in</u>
- <u>A rectangle that is 2.7 in x 8.1 in</u>
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Hope that helps!
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