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stich3 [128]
2 years ago
7

(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope

Mathematics
1 answer:
madreJ [45]2 years ago
8 0
For this problem you are going to need to know the point-slope equation which is: 
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: y+1= \frac{4}{3}(x-9)
Since all they are asking for is for you to put it into a formula this will be your answer.
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Calculate the distance between the points -11 and 4 on a number<br> line.
krek1111 [17]

Answer:

15, d

Step-by-step explanation:

The absolute value of |-11| + |4| is 11+4 which is 15

5 0
2 years ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
2 years ago
For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?
Klio2033 [76]
When b=0
f(x)=ax^2+c

test each
A. with x^2-1, A is false
B. with -x^2-1, B is false
C. cannot find contradiction
D. the axis is actually x=0, 0 is nithere positive nor negative, false


answer is C

7 0
3 years ago
Read 2 more answers
What's the domain of this function graph?<br> A) (-♾, 0)<br> B) (0,♾)<br> C) (-♾,♾)<br> D) (1,♾)
Scilla [17]

Answer:

b) (0,infinity)

Step-by-step explanation:

You can look at the graph and see it starts when x=1, and continues forever in the positive direction.

4 0
3 years ago
Read 2 more answers
Which of the objects shown above are pyramids?
PolarNik [594]
<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0
2 years ago
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