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Rufina [12.5K]
2 years ago
11

Olivia helps paint a square mural in her classroom. Then she helps paint a

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0

Answer:

C

Step-by-step explanation:

Assuming the side length of the square is x, we know that the length of the rectangle is 5 more than that, or x+5. Then, the width of the rectangle is 2 less than x, or x-2. The area of a rectangle is width multiplied by length, so our answer is (x+5)(x-2), or C

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The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an
finlep [7]
Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:


y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points


On the other hand, the slope-intercept form is written as:


y = mx + b, where,
m is the slope of the line
b is the y-intercept


In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation. 
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.

4 0
2 years ago
Read 2 more answers
5. What is the area of the figure to the nearest square centimeter? It is composed of a symmetric hexagonand a semicircle 4 cm6
Nookie1986 [14]
=100.2743338823 which is 100
6 0
2 years ago
Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.
Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

3 0
2 years ago
2. Let f(x) = 3x² -x+5, find f(x+1)​
Anna11 [10]

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

           = 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

           = 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

           = 3x² + 5x + 7

8 0
2 years ago
What is the value of x in simplest radical form?
Ostrovityanka [42]
In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

\sqrt{84^2 + 13^2} = 85

Thus, x = 85.
8 0
2 years ago
Read 2 more answers
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