a) The tangent to
at
has slope

and
at this point. It passes through the origin, so its equation is

It also passes through the point
on the curve, so

By substitution,

b) The normal to
at
has slope

It follows that

c) The tangent line equation is then

Equation 1: x² + y = 7
Equation 2: 3x + 7 = 9
Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".
3x + 7 = 9
3x = 2
x = 
*********************************
x² + y = 7
(
)² + y = 7
+ y = 7
y = 7 -
y =
-
y =
Answer: (
,
)
Answer:
60-11x < 20
Step-by-step explanation:
Let's first set out all the information we know.
- Jade has only $60, so we cannot go above the amount she has.
- She wants at LEAST $20 remaining
So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.
The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.
What we have so far is:
60-11x
Because this is an inequality, we will have a less than sign.
After that, we can conclude that $20 will come next because that is at the end of the problem.
So, the answer is:
60-11x < 20
Answer:
B. 2(20 + w) < 57
Step-by-step explanation:
Only choices B and D show something "less than 57". Of those, only choice B shows a sum of length and width.
<h3>
Answer:</h3>
- 3,8 kg
- 750 g
- 7,47 g
<h3>
Step-by-step explanation:</h3><h3>3800 g => kg</h3>
(3800 ÷ 1000) kg
= 3,8 kg
<h3>
¾ kg => g</h3>
(3 ÷ 4)kg × 1000
= 0.75 × 1000
= 750 g
<h3>7470 g => kg</h3>
(7470 ÷ 1000) kg
= 7,47 kg
