a = an angle x = its supplement . a + x = 180 by the definition of the supplement so a = 180-x x = 180-a . a = 17x substitute 17x + x = 180 18x = 180 x = 10 . a = 17*10 a = 170

7 0

4 years ago

Find the value of c that makes the expression a perfect square trinomial. x2 + 4x + c

masha68 [24]

the value of c that makes the expression a perfect square binomial is c=4 .

Step-by-step explanation:

Here we have , an expression x2 + 4x + c or , $x^2 + 4x + c$ . We need to find the value of c that makes the expression a perfect square binomial. Let's find out:

We have , $x^2 + 4x + c$

⇒ $x^2+4x+c$

⇒ $x^2+2(2)x+c$

Now , we know that $(a+b)^2=a^2+2(a)(b)+b^2$

Comparing above equation , to $x^2+2(2)x+c$ we get ;

⇒ $x^2+2(2)x+c$ { $c=2^2$ }

⇒ $x^2+2(2)x+2^2$

⇒ $(x+2)^2$

Therefore , the value of c that makes the expression a perfect square binomial is c=4 .

7 0

3 years ago

Dominique and Ella are comparing

erica [24]

Dominique and Ella are comparing
whose jet traveled faster. The graph
shows the relationship between the
total distance Dominique traveled
and the time in hours. The distance Time (1)
Who, if anyone, traveled at a faster
speed? Explain. i hope this helps you.

4 0

3 years ago