The answers to the questions are:
1. x = 4
2. x = 1.5
3. x = 1.875
4. x = 1
<h3>2 step equation:</h3>
1. 4x + 3 = 19
4x = 19 - 3
4x = 16
divide by 4
x = 4
<h3>2 step equation w/ fractions:</h3>
(4/3)x + 5 = 17
= 1.33x + 5 = 7
Take like terms
1.33x = 7-5
1.33x = 2
divide through by 1.33x to get 2
x = 2/1.33
x = 1.5
<h3>3. Distributive Property:</h3>
4x(6 - 2) - 10 = 20
Multiply and open the bracket
24x - 8x - 10 = 20
Take like terms
16x = 20+10
16x = 30
x = 30/16
= 1.875
<h3>4. Decimals:</h3>
4.3x + 0.7 = 5
4.3x = 5 - 0.7
4.3x = 4.3
x = 1
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ANSWER
A parabola.
EXPLANATION
The given conic is :

This can be rewritten as:


This is a parabola with the vertex at the origin.
The foci is (0,4)
Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² = 
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18
$5 each car
3 hours = 12 cars
÷3 ÷3
1 hours = 4 cars
×8 ×8
8 hours = 32 cars
32 cars × $5 per car =
$160
They earned $160 in 8 hours, from washing 32 cars.
Then my house will be in the south because thats the only one that is left