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viva [34]
3 years ago
14

Write the equation of the line that goes through each set of points------ (-1.6),(3-,2)

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

The equation that goes through this set of points is y = -x + 5

Step-by-step explanation:

In order to find this, we need to start by finding the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -2)/(-1 - 3)

m = 4/-4

m = -1

Now that we have this, we can use the slope and a point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 6 = -1(x - -1)

y - 6 = -1(x + 1)

y - 6 = -x - 1

y = -x + 5

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Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a
worty [1.4K]

Answer: d

Step-by-step explanation:

7 0
2 years ago
What is the surface area of the solid?
Paha777 [63]

Answer:

  D.  28 square centimeters

Step-by-step explanation:

The surface area of the prism is the sum of the base areas and the lateral area. Here, the base is an odd shape, so it must be decomposed into shapes we can find the area of.

__

<h3>base area</h3>

The base of this prism is the L-shaped face nearest the observer. It can be decomposed into a 1 cm square atop a 1 cm by 3 cm rectangle. The area of the face is the sum of the areas of these parts.

  square area = s² . . . . where s is the side length

  = (1 cm)² = 1 cm²

  rectangle area = bh . . . . b is the base, h is the height

  = (3 cm)(1 cm) = 3 cm²

Then the area of the one prism base we see is ...

  base area = 1 cm² +3 cm² = 4 cm²

The total area of both L-shaped bases of the prism is ...

  total base area = 2(4 cm²) = 8 cm²

__

<h3>lateral area</h3>

The perimeter of the base is the sum of the lengths of its edges. Working clockwise from the lower left corner, we find the base perimeter to be ...

  (1 +2 +1 +1 +2 +3) cm = 10 cm

The lateral area is the product of the "height" of the prism (the distance between the parallel bases) and this perimeter length.

  LA = Ph

  LA = (10 cm)(2 cm) = 20 cm²

__

<h3>solid area</h3>

The surface area of the solid is the sum of the areas of the bases and the lateral area:

  total surface area = total base area + LA

  = (8 cm²) +(20 cm²) = 28 cm²

The surface area of the solid is 28 square centimeters.

3 0
2 years ago
Read 2 more answers
Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
A dance studio teaches students a contemporary dance form. It is observed that the probability of students from this studio beco
Helen [10]
\mathbb P(X=75)=\dbinom{120}{75}0.69^{75}(1-0.69)^{120-75}\approx0.0239

or about a 2.4% chance.
5 0
3 years ago
Read 2 more answers
Hey guys!! Kon'nichiwa!!
mina [271]

Answer:

1. 1.79

2.11.486

3.2.3562

4.61.4

5. 115.7226

( 이게 옳은 거니?)

(;ŏ﹏ŏ)

6 0
2 years ago
Read 2 more answers
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