Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and<span> (10, –4)</span>.
Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = <span>12</span> units.
The area of triangle PQR is<span>108</span> square units.
Answer:
A.) 193
B.)191
C.)236
D.)128
Step-by-step explanation:
A) 12^2+(8-4)^3-15
144+(64)-15
208-15=193
B) (3*2)^3-5^2
6^3=216-5^2
216-25=191
I only showed work for A and B
Hope this helps !!
Mark brainlest please :)
Answer:
x = 1, y = -4
Step-by-step explanation:
set each equation equal:
-7x + 3 = -x - 3
-6x + 3 = -3
-6x = -6
x = 1
y = -7 + 3
y = -4
If this is about statistics then you were asked for a set of
parameters/statistic.
You could collect data values from the newspapers,
magazines, periodicals, recent or on the internet in various ways. You could
have examples like:
<span><span>
1.
</span>60% of the human body is composed of water
</span><span><span>2.
</span>The top 5 mental issues in women: depression, phobia
and anxiety, PTSD, suicide ideation and eating disorders</span>
<span><span>
3.
</span>There are 3 main parts of the brain. Forebrain,
midbrain and hindbrain</span>
<span><span>4.
</span>There are currently 19 births every 1000 people</span>
<span><span>
5.
</span>Mortality rate of 8 deaths/1000 people</span>
<span><span>
6.
</span>There are about 127.3 million people in Japan in
a 2013 survey.</span>
<span><span>
7.
</span>Japan’s GDP is 4.92 trillion.</span>
<span><span>
8.
</span>There are about 64.1 million people in UK (2013)</span>
<span><span>
9.
</span>Average expectancy in the UK is 81.50 years old.</span>
<span><span>
10.
</span>2.678 trillion USD is UK’s current GDP</span>
<span><span>11.
</span>South Korea’s average internet speed is 24.6
Mpbs</span>
<span><span>12.
</span>Apple has currently 2 types of iPhone 6</span>
<span><span>13.
</span>There are 3 founders of Apple</span>
<span><span>
14.
</span>There are at least 12 anxiety disorders in DSM 5</span>
<span><span>15.
</span>People suffering from Major Depressive disorders
are about 6.7% of the US population</span>
<span><span>16.
</span>17 years old is the average age of Britons loss
of virginity, mostly.</span>
<span><span>
17.
</span>There has been 158 movies released in 2013</span>
<span><span>
18.
</span>Facebook has 1.49 billion active users monthly</span>
<span><span>
19.
</span>There are 15 popular social networking sites</span>
<span><span>20.
</span>Introverts are about 60% in the US population</span>
<span><span>21.
</span>Whatsapp has a 417 million users globally</span>
<span><span>22.
</span>24 hours in a day</span>
<span><span>
23.
</span>There are currently 7 billion people</span>
<span><span>
24.
</span>There are at least 1 billion vehicles and cars
globally</span>
<span><span>25.
</span>There are at least 6 billion mobile phones</span>