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gladu [14]
3 years ago
8

Write an equation of the line with a slope of 3 and a y-intercept of 4.5

Mathematics
2 answers:
puteri [66]3 years ago
6 0
Your answer would be y = 3x + 4.5
Rudiy273 years ago
4 0

Answer:

Step-by-step explanation: you answered the question

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The Perimeter is x+38
OLga [1]
P=x+38

add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10

set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x

then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46

sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
8 0
3 years ago
Find the equation of the linear function represented by the table below in slope-
vodomira [7]

Answer:

y = x + 4

Step-by-step explanation:

Let the equation of the linear function represented by the table is,

y-y_1=m(x-x_1)

where m = slope of the line

And this line passes through the points (x_1,y_1) and (x_2,y_2)

Slope of the given line = \frac{y_2-y_1}{x_2-x_1}

From the given table two points lying on the function are (-4, 0) and (1, 5).

Slope 'm' = \frac{5-0}{1+4} = 1

Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,

y - 5 = (x - 1)

y = x + 5 - 1

y = x + 4

8 0
3 years ago
In​ 2000, a company had 1147 stores nationwide. By​ 2002, this total had grown to 1542. If the number of stores continues to gro
mr_godi [17]

12226 stores will be there in 2016

<em><u>Solution:</u></em>

<em><u>The growth function is given as:</u></em>

y = a(1+r)^t

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

From given,

In​ 2000, a company had 1147 stores nationwide

By​ 2002, this total had grown to 1542

Therefore,

y = 1542

a = 1147

t = 2000 to 2002 = 2 years

r = ?

<em><u>Substituting we get,</u></em>

1542 = 1147(1+r)^2\\\\(1+r)^2 = \frac{1542}{1147}\\\\(1+r)^2 = 1.34437

Taking square root of both sides

1+ r = 1.1594\\\\r = 1.1594 - 1\\\\r = 0.1594

<em><u>If the number of stores continues to grow exponentially at the same​ rate, how many stores will there be in​ 2016?</u></em>

Therefore,

y = ?

a = 1147

r = 0.1594

t = 2000 to 2016 = 16 years

<em><u>Substituting we get,</u></em>

y = 1147(1 + 0.1594)^{16}\\\\y = 1147(1.1594)^{16}\\\\y = 1147 \times 10.6593\\\\y = 12226.3311 \approx 12226

Thus 12226 stores will be there in 2016

4 0
3 years ago
Plz help! Plz help! Plz help! Plz help!
maks197457 [2]

Answer:

M

Step-by-step explanation:

4 0
3 years ago
In rhombus EFGH below, EF= 13m and DG = 5m, Find the area of the rhombus.
Mariana [72]

Answer:

the correct answer is 120 square meters

Step-by-step explanation:

DG is a half diagonal and it intersects with the other diagonal at 90°. So it forms a right angle triangle. Using Pythagoras theorem

13^2-5^2=d^2

169-25=d^2

144=d^2

d=√144

d=12

so the other half diagonal is 12m

the two diagonals will be 2×5 and 2×12

the two diagonals will be 10m and 24m

area of a rhombus=1/2d1d2

area of the rhombus= 1/2×10×24

area of the rhombus=120 square meters

6 0
4 years ago
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