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nydimaria [60]
3 years ago
7

Evaluate the algebraic expressions, and put their values in order from least (1) to greatest (4), for a = 2 and b = 5 1. 50 − b2

+ a 2. a2(5 − b) 3. b2 − 10 4. a(b − 3)
ill give brainiest to first answer

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

0

4

15

27

Step-by-step explanation:

a) The first expression is

50-b^2+a

When a=2 and b=5, we get

50 -  {(5)}^{2}  + 2 = 50 - 25 + 2 = 27

b) The second expression is

a^2(5-b)

We substitute a=2 and b=5;

{2}^{2} (5 - 5) = 4(5 - 5) = 4 \times 0 = 0

c) The next expression is

{b}^{2}  - 10

We substitute b=5 to get:

{5}^{2}  - 10 = 25 - 10 = 15

d) The fourth expression is

a(b-3)

When a=2 and b=5

2(5 - 3) = 2 \times 2 = 4

We know that:

0<4<15<27

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A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon.
aev [14]

Answer: 700.56

Step-by-step explanation:

A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides

n = 7 (number of sides)

s = 13.9 (length of each sides of the heptagon)

r = 14.4 (The apothem)

The area of the regular heptagon can be calculated by:

Area = ½ n × s × r

Area = ½ × 7 × 13.9 × 14.4

Area = 700.56 square units

8 0
2 years ago
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Step-by-step explanation:

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8 0
2 years ago
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
irinina [24]

Functions are used to represent graphs, and vice versa.

The function represented by the graph is f(x) =- |x + 4| + 3

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

f(x) =a |x - h| + k

Where

Vertex = (h,k)

The vertex is the minimum or the maximum point on the graph.

So, we have:

Vertex = (-4,3)

The function becomes

f(x) =a |x + 4| + 3

The function also passes through the point (-1,0).

So, we have:

0 =a |-1 + 4| + 3

0 =a |3| + 3

Remove the absolute bracket

0 =3a + 3

Subtract 3 from both sides

3a =- 3

Divide both sides by 3

a =- 1

Substitute -1 for (a) in f(x) =a |x + 4| + 3

f(x) =- |x + 4| + 3

Hence, the function represented by the graph is f(x) =- |x + 4| + 3

Read more about absolute value graphs at:

brainly.com/question/3381225

4 0
2 years ago
-3(2r-4) &gt; 2(5-3r)<br> Whats the inequality?
VLD [36.1K]
-3 (2r - 4) > 2 (5 - 3r)
-6r + 12 > 10 - 6r
12 > 10

There is no solution
4 0
3 years ago
Read 2 more answers
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
juin [17]

Answer:

A. PR = 80.6 yd

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}

PR = \sqrt{(70)^2 + (-40)^2}

PR = \sqrt{4,900 + 1,600}

PR = \sqrt{6,500}

PR = 80.6 yd (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0
2 years ago
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