Answer:
x=30
Step-by-step explanation:
(30+x)+30+9x=360
We move all terms to the left:
(30+x)+30+9x-(360)=0
We add all the numbers together, and all the variables
(x+30)+9x+30-360=0
We add all the numbers together, and all the variables
9x+(x+30)-330=0
We get rid of parentheses
9x+x+30-330=0
We add all the numbers together, and all the variables
10x-300=0
We move all terms containing x to the left, all other terms to the right
10x=300
x=300/10
x=30
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solving for H</u>
- RBT/Z + H/K = M
- K×RBT/Z + K×H/K = K×M ⇒ <em>multiplying all terms by K to clear fraction</em>
- RBTK/Z + H = MK
- RBTK/Z + H - RBTK/Z= MK - RBTK/Z ⇒ <em>subtracting RBTK/Z from both sides</em>
hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )
Option (a) is correct.
The standard form the equation is
Step-by-step explanation:
Given : the vertex form of the equation of a parabola is
We have to write the given equation in standard form and choose the correct from the given options.
Consider the given equation of parabola
The standard form of equation of parabola is
We can obtain the standard form by expanding the square term in the given equation.
Using algebraic identity , we have,
Solving brackets, we get,
Simplify, we get,
Thus, The standard form the equation is
Answer:
<h3>
Acute Angles: ∠TLS, ∠SLT, ∠ULR</h3><h3>
Right Angles: ---------</h3><h3>
Obtuse Angles: ∠RLT, ∠SLU, ∠ULS,</h3><h3>
Straight Angles: ∠RLS, ∠TLU </h3><h3>
Not angles: ∠TRL </h3>
Step-by-step explanation:
The lines intersect at point L, so all angles have a vertex (middle letter) L so there is no angle TRL
Straight angle is a line with dot-vertex, so the straight angles are ∠RLS and ∠TLU.
∠TLS is less than 90° then it is acute angle (∠SLT is the same angle). ∠ULR is vertex angle to ∠TLS, so it's also acute angle.
Two angles adding to straight angle mean that they are both right angles or one is acute and the second is obtuse. ∠TLS is acute so ∠RLT is obtuse (they adding to ∠RLS) and ∠SLU is obtuse (they adding to ∠TLU). ∠ULS is the same angle as ∠SLU.
