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3 years ago

Simplified form of the equation 7z + 2 = 8 + 2z + 1z?

Mathematics

1 answer:

mina [271]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

7z+2=8+2z+1z

7z+2=8+3z

7z-3z+2=8

4z+2=8

4z=8-2

4z=6

z=6/4

simplify

z=3/2

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lyudmila [28]

Answer:

3x+y=16

x+6y=5

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Step-by-step explanation:

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3 years ago

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pav-90 [236]

Answer:

Step-by-step explanation:

Let us say, Olivia's age is x.

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2 years ago

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maxonik [38]

<h2>Finding the y-intercept given the Graph of the Line</h2>

Answer:

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Step-by-step explanation:

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3 years ago

The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?

Andrews [41]

Answer:

$a_{200}=418$

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

$a_n=20+(n-1)2$ ...(1)

We need to find the 200th term of the sequence.

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3 years ago

The base of a triangle exceeds the height by 9 centimeters. If the area is 56 square centimeters, find the length of the base an

shepuryov [24]

Answer:

The height of the triangle is 7cm and the base is 16cm

Step-by-step explanation:

First of all we have to know the formula to calculate area of a triangle

a = area = 56

b = base

h = heigth

a = (b * h)/2

we replace the known values and we make 2 equations

56cm² = (b * h)/2

b = h + 9cm

we replace b by (h + 9cm) in the first equation

56cm² = (h + 9cm * h)/2

56cm² * 2 = h² + 9h

0 = h² + 9h - 112cm²

we use bhaskara formula:

(-b (±) √ (b² - 4ac) ) / 2a

we replace with the known values

h = (-9 (±) √ (9² - 4*1*(-112) ) ) / 2*1

h = (-9 (±) √ (81 + 448) ) ) / 2

h = (-9 (±) √529) /2

h = (-9 (±) 23)/2

h1 = (-9 + 23) / 2

h1 = 14 / 2

h1 = 7

h2 = (-9 - 23) / 2

h2 = -32 / 2

h2 = -16

The height of the triangle is 7cm and the base is 16cm

8 0

3 years ago