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3 years ago

Determine whether the given equation has one solution, no solution, or infinitely many solutions: 4x+10=2(2x+5)

1 answer:

4 0

if we distribute 2(2x+5), we'll end up with 4x + 10, so in short, the right-hand-side, is really the left-hand-side in disguise.

and since 4x + 10 = 4x + 10, both equations are equal, meaning in short, the system has an infinite number of solutions.

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Slove (3x-2)=(2x-1)/(2) show step by step

shusha [124]

Answer:

x= 3/4

Step-by-step explanation:

$(3x - 2) = \frac{(2x-1)}{2}$

2(3x - 2) = (2x - 1)

6x - 4 = 2x -1

4x = 3

x= 3/4

3 0

2 years ago

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Factor the expressions . 36 + 8z

Sophie [7]

Answer:

4 × ( 9 + 2z)

Step-by-step explanation:

36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor

= 4 × ( 9 + 2z)

we can also write it like this

36 + 8z = 2 × ( 18 + 4z)

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3 years ago

In isoceles triangle the length of a leg is 17cm, and the base is 16cm. Find the length of the altitude to the base

Elan Coil [88]

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

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6 0

3 years ago

One eighth to a decimal

DochEvi [55]

Divide the numerator by the denominator and you will get 0.125

4 0

3 years ago

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Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$

6 0

2 years ago

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