If BC is parallel to DE
then
AB / BD = AC / CE
Now just plug the values.
8/10 = AC / 15
4/5 = AC / 15
4/5 x 15 = AC
AC = 12
Hope This Helps You!
Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.
A=2 B=2 C=2 represents neither of the two.
A=0 B=5 C=0 is a horizontal line running parallel to the X axis.
A=-8 B=0 C=0 is a vertical line, with a fixed X co-ordinate.
Question:
Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire dessert. Each of them has a different recipe for their perfect s’more. Nick likes to use 1/2 of a chocolate bar to make a s’more. Tasha will only eat a s’more that is made with exactly 2/5 of a chocolate bar.
Answer:
The fraction of a chocolate bar will Nick and Tasha will use in total if they each eat one s'more is bar.
Step-by-step explanation:
Here, we are meant to learn how to add fractions and to know about the essence of a common denominator
The portion of the chocolate that Nick makes an s'more with is 1/2
The portion of the chocolate that Tasha makes an s'more with is 2/5
Therefore the fraction of the chocolate bar Nick and Tasha use in total if they each eat one s'more is 1/2 + 2/5
Where + multiplying the fraction by and by wee have
× + × = + = bar
Therefore the fraction of the chocolate bar that would be left is
1 bar - bar = bar.
1.) 6x=12
x=2
3(2)+3y=-9
6+3y=-9
3y=-3
y=-1
(2,-1)
2.) 7x=-35
x=-5
5x+2y=-19
5(-5)+2y=-19
-25+2y=-19
2y=-44
y=-22
(-5,-22)
3.) 4x=-16
x=-4
2(-4) +3y=1
-8+3y=1
3y=-7
y=-7/3
(-4,7/3)
4.)7x=35
x=5
2(5)+3y=-5
10+3y=-5
3y=5
y=5/3
(5,5/3)
5.) 2x=-8
x=-4
x+4y=4
-4+4y=4
4y=0
y=1
(-4,1)