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Yuri [45]
3 years ago
9

If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,

and a > 1, then what is the value of a?
Answers to choose from is: a) 5, b) 6, c) 8, d) 9.
Mathematics
2 answers:
Aliun [14]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Plato

Vesnalui [34]3 years ago
3 0

Answer:

b) 6

Step-by-step explanation:

The function f(x) = 4 is simply the horizontal line y = 4. Therefore, the region bounded by the curve of the function f(x) = 4 on the interval [1, a] with  a > 1 is simply a rectangle whose length is (a-1) units and width 4 units. We have been informed that the area is 20 square units, therefore we can formulate the following equation using the formula for the area of a rectangle;

Area = length * width

20 = 4(a-1)

5 = a-1

a = 6

Therefore, the value of a should be 6.

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Two angles are ____ when they have a common vertex and a common side and don’t overlap.
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Adjacent Angles<span> are </span>two angles<span> that share a </span>common vertex<span>, a </span>common side<span>, and no </span>common<span> interior points. (</span>They<span> share a </span>vertex<span> and </span>side<span>, but do not </span>overlap<span>.) A Linear Pair is </span>two<span> adjacent </span>angles<span> whose non-</span>common sides<span> form opposite rays

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4 0
3 years ago
Help meeee the first to answer this question will get a Brainliest!!
Mrac [35]
It’s $15.69 for each of the 3 pizzas because 15.69+15.69+15.69=47.07 and then add the delivery fee and it’s 49.57
6 0
3 years ago
Read 2 more answers
Jeremy is given the choice between two chocolates, X and Y. Which one should he choose to get the most chocolate possible, and h
inn [45]

Answer:

A. It does not matter. The volumes of X and Y are equivalent.

Step-by-step explanation:

Volume of the pyramid = Base area × Height

For rectangular pyramid X:

Given Height of pyramid = 10cm

Base area = Length × Breadth

Base Area = 6cm×5cm = 30cm²

Volume = 10×30

Volume of the pyramid = 300cm²

For pyramid Y:

Given Height = 10cm

Base area = 1/2 base×height

Base area ,= 1/2 × 7.5×8

Base area = 30cm²

Volume of the triangular pyramid = 10×30 = 300cm³

We can see that the volume of X and Y is the same, therefore the type of chocolate Jeremy chose doesn't matter.

6 0
3 years ago
I need an equation of the line that passes through the given point and is parallel to the given line (6,-3);y=-2/3 x+5
chubhunter [2.5K]

Answer:

<em>y = -2/3 x + 1</em>

Step-by-step explanation:

The line y = -2/3 x + 5 is in y = mx + b form, where m is the slope, so the slope of the given line is -2/3. Parallel lines have equal slopes, so the equation you are looking for also has slope -2/3.

The parallel line has equation

y = -2/3 x + b

We need to find b.

Since we are given a point, we substitute x and y with the x- and y-coordinates of the given point and solve for b. x = 6, and y = -3.

y = -2/3 x + b

-3 = (-2/3)(6) + b

-3 = -4 + b

1 = b

Now that we know b = 1, we can write the equation.

y = -2/3 x + b

y = -2/3 x + 1

5 0
3 years ago
Is a rhombus a quadrilateral always?
Vika [28.1K]

Long Answer:

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.

Short Answer:

Yes

4 0
3 years ago
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