Answer:
<em>u</em> = 7.21
Step-by-step explanation:
The magnitude of <em>u</em> is just the distance between the two points. The coordinates of the left-most point are (-2,-8) and the coordinates of the right point are (4, -4). I'm assuming the x coordinates here because we don't actually know the scale.
Ok so from these points, you can draw a triangle (u can see it in the attached file).
From the coordinates we can tell the lengths of the sides, and the triangle shows that <em>u</em> is the hypotenuse of the triangle. This triangle is also a right triangle, so u can use Pythagoras' theorem to find the length of <em>u</em>.
Since c = <em>u</em>, we know now that the magnitude of <em>u</em> is 7.21
Hope this helps!
-35 is < -23.
-35 is less than -23.
-23 is closer to 0 on the number line with 12 steps than -35.
The inverse of f does NOT exist. The reason why is because the function fails the horizontal line test. Recall that the horizontal line test is a test where you try to see if you can pass a single horizontal line through more than one point on the function curve. If you can get the horizontal line to pass through more than one point, then it fails the test. It's very similar to the vertical line test.
There is a 3/51 chance i believe of drawing two consecutive hearts
Answer:
The formula for the area of the triangle is:
When <em>x</em> = 3, the area is 216 square centimeters.
When <em>x </em>= 2.4, the area is 138.24 square centimeters.
And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.
Step-by-step explanation:
We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.
The area of a triangle is given by the formula:
So, by substitution:
When <em>x </em>= 3, the area will be:
And when <em>x</em> = 2.4, the area will be:
When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.
By the Pythagorean Theorem:
So:
The hypotenuse will be:
