Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
22 i think idk sorry if i’m wrong
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Definition of equilateral.
Definition of equilateral.
Substitution
Angle Addition
Angle Addition
Substitution
Substitution
Definition of equilateral
Definition of equilateral
Side-Angle-Side Congruence*
CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Well a interger is any negative number so -1 or -2 or -3 or -4......
This whole problem rests on one thing:
Do you know the formula for the volume of this kind of shape ?
If you do, then the problem is easy. If you don't, then it's impossible.
This is the shape of a book, an ice cube, a brick, or a slab.
The volume is always
(length) x (width) x (height) (in any order) .
They all have to be in the same unit, and then the volume
is in the cubic-(...) of that unit.
In this picture, there's a tiny hiccup with the units ... the length and
the width are in meters, but the height is in centimeters, so you need
to change that one to meters before you can multiply them.
Notice right above the picture, it reminds you that
(1 meter = 100 centimeters) .
So the height of the slab (10 cm) is the same as 0.1 meter.
Now you have all 3 of the dimensions in meters, so you're
ready to multiply them and get the volume.
Volume = (length) x (width) x (height)
= ( 8 m ) x ( 6 m ) x ( 0.1 m )
= 4.8 cubic meters .
Question:
Does Meg have enough concrete to make the slab
with the dimensions shown ?
Answer: Yes .
Explanation:
Meg mixed 5 cubic meters of concrete.
She needs 4.8 cubic meters to pour the floor with those dimensions.
She has enough concrete to do the job.
All she needs is the whole football team to come over and help her
pour, smooth, and finish it. Concrete is hard hard work !
