Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 3 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line.
To find c substitute (3, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = x - 5 ← equation of parallel line
Answer:
82
Step-by-step explanation:
Let the unknown number be x
If an unknown number is added to 8, this is expressed as;
8 + x
<em>If The sum is then divided by 9 to give the answer 10, then;</em>
<em>(8+x)/9 = 10</em>
<em>Cross multiply</em>
<em>8 + x = 9 * 10</em>
<em>8 + x = 90</em>
<em>x = 90 - 8</em>
<em>x = 82</em>
Hence the unknown number is 82
<h3>
The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300</h3>
Step-by-step explanation:
The weight of the car is given as:
P(C) = x² + 10 x + 200
The weight of the truck is given as:
P(T) = x³ + x + 100
Now, the combined weight of both vehicles is given as
= Weight of Car P(C) + Weight of Truck P(T)
P(W) = x² + 10 x + 200 + x³ + x + 100
= x³ + x² + (10 x + x)+ (200 + 100)
= x³ + x² + 11 x + 300
⇒ The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300
Answer:
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = 7.5/10
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .
