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chubhunter [2.5K]
3 years ago
9

The equation 7(u-5)=21 is solved in several steps below. For each step, choose the reason that best justifies it.

Mathematics
1 answer:
krok68 [10]3 years ago
4 0

Answer:

u = 8

Step-by-step explanation:

The steps are not shown. So, I will solve from scratch

Given

7(u -5) = 21

Required

Solve, with steps

7(u -5) = 21

Apply distributive  property

7u - 7 * 5 =21

7u - 35 =21

Collect like terms

7u = 35 + 21

7u = 56

Divide both sides by 7

\frac{7u}{7} = \frac{56}{7}

u = 8

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Answer:

When something is linear it will meet the criteria, on a graph it will be a straight line, it won't have any curves in it.

When something is nonlinear it doesn't fit the criteria, on a graph it will be curved, never straight

Hope this helps ;)

Step-by-step explanation:

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An isosceles triangle has an angle that measures 98°. Which other angles could be in that isosceles triangle? Choose all that ap
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an isosceles triangle is a triangle with two twin sides, and therefore two twin angles.

if one angle is 98°, well, we can't have another 98° angle because that makes 98+98 = 196°, and the sum of all interior angles in a triangle cannot be more than 180°.

so the other remaining angles must be the twin smaller angles, namely 180 - 98 = 82, and each twin takes half of that, namely 41°.


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2 years ago
Please help me with these two math problems that I do not quite understand. This is urgent!
g100num [7]

Answer:

1)a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19

2) a_{10}=4+8(10-1)\Rightarrow a_{10}=76

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2)  is already an Explicit Formula, since it is given the first term a_{1}=-1 the common difference d=-2 let's find some terms of this Sequence through this Explicit Formula:

a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19

2) (4,12,20,28, ..) In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

a_{10}=4+8(10-1)\Rightarrow a_{10}=76

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