What is the factored form of each expression? 20x + 35y

1 answer:

5 0

The factored form of 20x+35y would be 5(4x+7y). If you use the distributive property of multiplication, you can see that the expression has not changed.

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The angles of a triangle are equal to x, x+4 and 20x. What is the measure of the largest angle of the triangle?

Ipatiy [6.2K]

Answer:

160°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...

x + (x +4) + 20x = 180

22x +4 = 180 . . . . . . . . . . collect terms

22x = 176 . . . . . . . . . . subtract 4

x = 8 . . . . . . . . . . . divide by 22

20x = 160 . . . . find the largest angle

The measure of the largest angle is 160°.

3 0

2 years ago

2) (3 pt) Write the function from the table and graph.хf(x)-10004122130.52) f(x) =

DaniilM [7]

(x - h)^2 = 4p(y - k)

(-1 - 3)^2 = 4p(8 - 0.5)

(-4)^2 = 4p(7.5)

16 = 30p

p = 16/30

p = 8/15

(x - 3)^2 = 16/15(y - 0.5)

15(x^2 - 6x + 9) = 16y - 8

15x^2 - 90x + 135 = 16y - 8

16y = 15x^2 - 90x + 135 + 8

y = 15/16 x^2 - 90/16 x + 143/16

f(x) = 15/16 x^2 - 90/16x + 143/16

4 0

1 year ago

What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.

Sedbober [7]

Answer:

$\large\boxed{B.\ x=\pm1\ and\ x=\pm2\sqrt2}$

Step-by-step explanation:

$x^4-9x^2+8=0\\\\x^{2\cdot2}-9x^2+8=0\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(x^2)^2-9x^2+8=0\\\\\text{substitute}\ x^2=t\geq0\\\\t^2-9t+8=0\\\\t^2-t-8t+8=0\\\\t(t-1)-8(t-1)=0\\\\(t-1)(t-8)+0\iff t-1=0\ \vee\ t-8=0\\\\t-1=0\qquad\text{add 1 to both sides}\\t=1\geq0\\\\t-8=0\qquad\text{add 8 to both sides}\\t=8\geq0$

$t=x^2\to x^2=1\ \vee\ x^2=8\\\\x^2=1\Rightarrow x=\pm\sqrt1\to x=\pm1\\\\x^2=8\Rightarrow x=\pm\sqrt8\to x=\pm\sqrt{4\cdot2}\to x=\pm\sqrt4\cdot\sqrt2\to x=\pm2\sqrt2$