Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Note that as we move from (-17,8) to (3,-2), x increases by 20 and y decreases by 10. Thus, the slope of this line is m = -10/20, or m = -1/2.
The standard equation in point-slope form is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line. Then, taking data from the point (3, -2), we have
y+2 = (-1/2)(x-3).
Check: Does the point (-17,8) satisfy this equation? Is 8+2 = (-1/2)(-17-3) true?
Is 10 = 10 true? Yes.
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²
Answer: asteroid
Anis a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun that did not resolve into a disc in a telescope and was not observed to have characteristics of an active comet such as a tail. As minor planets in the outer Solar System were discovered that were found to have volatile-rich surfaces similar to comets, these came to be distinguished from the objects found in the main asteroid belt. The term "asteroid" refers to the minor planets of the inner Solar System, including those co-orbital with Jupiter. Larger asteroids are often called planetoids.
Step-by-step explanation:
This "belt" of asteroids follows a slightly elliptical path as it orbits the Sun in the same direction as the planets. It takes anywhere from three to six Earth years for a complete revolution around the Sun. An asteroid may be pulled out of its orbit by the gravitational pull of a larger object such as a planet.
Hey there!!
We have:
... x² + y² = 25
... x² + y² = 5²
... y² = 5² - x²
and
... y² - 2x = 25
... y² - 2x = 5²
We know y² = 5² - x²
... 5²-x²-2x = 5²
... -x² - 2x = 5²-5²
... -x² - 2x = 0
... x(-x-2) = 0
... -x-2 = 0
... -x = 2
... x = -2
<em>Hence, the value of x is -2. </em>
... x² + y² = 25
... (-2)² + y² = 25
... 4 + y² = 25
... y² = 25 - 4
... y² = 21
... y = √21
<em>Hence, the value of 'y' is √21. </em>
Hope my answer helps!!
Answer:37
Step-by-step explanation:
180-35=145 I got the 180 because that is a straight line. I got the 35 from the angle. I subtracted them because 35 is part of the 180 and does not need to be counted. Then I set 145= to 4m-3. Then I just solved normally. It should look like this
145+3=4m-3+3
148/4=4m/4
37=m