Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
Answer:
<h2><u>
13.7</u></h2>
Step-by-step explanation:
the triangle is ... 1/2 b h = 1/2 * 3.6 * 4.8 the semi-circle is ... 1/2 π r^2 = 1/2 * 3.14 * 1.8^2
in other words
What you do is 4.8*3.6=A then divide your answer in half which is the area of the triangle than to find the area of the semi circle you do 3.14*1.8^{2}=A then divide that in half than add the two together then round to the nearest tenth.
Answer: 37 units
Step-by-step explanation:
This also works as the height of the triangle.
This also works as the base of the triangle.
Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.
To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.
Let's work with Blue.
Now Pink.
So we have a triangle with a base of 35 units and a height of 12 units.
Now let's use the pythagoream's theorem to solve.
Answer:
Slope = ∆y/∆x
slope = ( -5_1 ) / ( 3_-3 )
slope = -6 / 6
slope = -1