Slope formula: (y2 - y1/x2 - x1)
Substitute
(9 - 17/-1 - 3) = 2
Answer:
Charles practiced for the relay race for D. 9 hours last week.
Step-by-step explanation:
First, I would find the ratios the ratios for converting hurdle to javelin and javelin to relay.
Hurdle : Javelin ; 5 : 1.5
Javelin : Relay ; 2.5 : 5 or 1 : 2
Next, find the factors compared to the original numbers for hurdle to javelin.
15 / 5 = 3
To find the amount of javelin time they did, multiply 1.5 by the factor we got, 3.
1.5 * 3 = 4.5
Finally, double 4.5, since Charles does twice as much relay than he does javelin.
4.5 * 2 = 9 hours
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
Sum of the first 15 terms = -405
Step-by-step explanation:
a + 3d = -15 (1)
a + 8d = -30 (2)
Where,
a = first term
d = common difference
n = number of terms
Subtract (1) from (1)
8d - 3d = -30 - (-15)
5d = -30 + 15
5d = -15
d = -15/5
= -3
d = -3
Substitute d = -3 into (1)
a + 3d = -15
a + 3(-3) = -15
a - 9 = -15
a = -15 + 9
a = -6
Sum of the first 15 terms
S = n/2[2a + (n − 1) × d]
= 15/2 {2×-6 + (15-1)-3}
= 7.5{-12 + (14)-3}
= 7.5{ -12 - 42}
= 7.5{-54}
= -405
Sum of the first 15 terms = -405
Answer:
Step-by-step explanation:
I say seven...
