Which line is parallel to the line y = 3x + 6?

1 answer:

7 0

Y = 3x - 9, because for a line to be parallel it has to have the same gradient (x value) as the first line, and y = 3x - 9 is the only equation with the x value of 3.

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Alana spent 21 dollars of her 300 dollar paycheck on a gift . What percent of her paycheck was spent on the gift

Aleksandr-060686 [28]

7% of her paycheck was spent on the gift

4 0

2 years ago

Write an equation for each sentence then solve. The sum of two consecutive even numbers is thirty-four. What are the numbers? I

taurus [48]

<h3 /><h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3><h3>Required Solution :</h3>

Let the first even number be 'x' & the second even number be (x + 2)

<u>According to the Question</u>,

⇒x + (x + 2) = 34

⇒x + x + 2 = 34

⇒2x + 2 = 34

⇒2x = 34 - 2

⇒2x = 32

⇒x = 32/2

⇒x = 16

⇒First even number = x = 16

⇒Second even number = (x + 2) = 16 + 2 = 18

<u>∴</u><u> </u><u>The t</u><u>wo consecutive even n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u>s</u><u> are 16 & 18</u> ...!

<h3>Verefication : </h3>

As, In our Question it was given that "The sum of two consecutive even numbers is thirty-four". So, as we got our two consecutive even numbers as 16 & 18 ... By this, we can say that these both even numbers should be equals to 34, i.e., 16 + 18 = 34. Hence, The equation which we formed is correct ...!

6 0

2 years ago

Please need help in these 3 algebra questions !!!!

Marysya12 [62]

Answer:

$\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}$

Step-by-step explanation:

$7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1$

$8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}$

$11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3$