Use the distributive property.
4a - 8 = 3a + 12
Arrange the like terms.
4a - 3a = 12 + 8
a = 20
That is the answer. <span>☺️</span>✌️
(2x - 5)° + 45° = 180°
2x° + (-5 + 45)° = 180°
2x° + 40° = 180°
2x° = 180° - 40°
2x° = 140°
x° = 140 ÷ 2
x° = <u>7</u><u>0</u><u>°</u>
So, the value of x is 70°
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
Answer:
Y= -4 :)
Steps:
Apply rule
-y + 3 = 7
Subtract 3 from both sides
-y + 3 - 3 = 7 - 3
Simplify
-y = 4
Divide both sides by -1
-y/-1 = 4/-1
Simplify
y = -4
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
15=7x+1-5x
Put like terms together. ( group anything alike)
15+1=16
7x-5x=2x
16 2x
—- ——-
2x 2x
2x/2x cancels itself out.
16 divided by 2 is 8
x=8
I hope this helped!
