Based on the coordinates of triangle RST, we can infer that triangle RST is <u>not a right-angled triangle. </u>
<h3>Is triangle RST a right-angled triangle?</h3>
For this to be a right-angled triangle, the Pythagoras theorem has to apply where:
Largest side² = Side A² + Side B²
Lengths of the triangle:
RS² = (4 - 2)² + (4 - 3)²
= 5
ST² = (5 - 4)² + (0 - 9)²
= 17
TR² = (2 - 5)² + (3 - 0)²
= 18
We can see that:
18 ≠ 17 + 5
This is therefore not a right-angled triangle.
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
Answer: ¹/₁₂ watermelon
Step-by-step explanation:
Mrs. Parker had a watermelon which she cut into fourths and then gave one of those pieces to her children.
This means that she gave them 1/4 of a watermelon.
There are 3 children and they are to share this piece equally:
= 1/4 ÷ 3
= 1/4 * 1/3
= 1/12
<em>Each child will get 1/12 of the water melon. </em>
Where p is the distance the focus is above the vertex, the equation of a parabola with vertex (h, k) can be written as
... y = 1/(4p)·(x -h)² +k
The vertex is halfway between the focus and directrix. The focus of your parabola is on the y-axis at y=6, and the directrix of your parabola is at y=-6, so the vertex of your parabola is on the y-axis at y=0. That is, the vertex is
... (h, k) = (0, 0).
The distance p from the focus at y=6 to the vertex at y=0 is 6 units, so
... p = 6.
Filling these values into the equation gives
... y = 1/(4·6)·(x -0)² +0
... y = (1/24)x²
If Nate paints the wall in 4 hours, it means that he can paint 1/4 of the wall every hour.
Similarly, if Jill paints the wall in 7 hours, it means that he can paint 1/7 of the wall in one hour.
So, together, they paint the following fraction of the wall in one hour:
.
At this rate, they need 28/11 hours to paint the whole wall, in fact, after that amount of time they paint
i.e. the whole wall
