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nataly862011 [7]
3 years ago
11

Solve for n. 1–3n= – 9+n+2

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

1-3n=-9+n+2 ---> -3n-n=-1+-9+2 --> -4n=-8 ---> n=2

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Please help me and show your work!!
11Alexandr11 [23.1K]
\bf \cfrac{\sqrt{250x^{16}}}{\sqrt{2x}}\qquad 
\begin{cases}
250=2\cdot 5\cdot 5\cdot 5\\
\qquad 2\cdot 5\cdot 5^2\\
x^{16}=x^{8\cdot 2}\\
\qquad (x^8)^2
\end{cases}\implies \cfrac{\sqrt{2\cdot 5\cdot 5^2\cdot (x^8)^2}}{\sqrt{2\cdot  x}}

\bf \cfrac{5x^8\sqrt{2\cdot 5}}{\sqrt{2}\cdot \sqrt{x}}\implies \cfrac{5x^8\underline{\sqrt{2}}\cdot \sqrt{5}}{\underline{\sqrt{2}}\cdot \sqrt{x}}\implies \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\impliedby 
\begin{array}{llll}
\textit{and rationalizing the}\\
\textit{denominator}
\end{array}

\bf \cfrac{5x^8\sqrt{5}}{\sqrt{x}}\cdot \cfrac{\sqrt{x}}{\sqrt{x}}\implies \cfrac{5x^8\sqrt{5}\cdot \sqrt{x}}{(\sqrt{x})^2}\implies \cfrac{5x^8\sqrt{5x}}{x}\implies 5x^8x^{-1}\sqrt{5x}
\\\\\\
5x^{8-1}\sqrt{5x}\implies 5x^7\sqrt{5x}
4 0
3 years ago
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown
Reil [10]

Answer:

<h2><em>(3,6)</em></h2>

Step-by-step explanation:

Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:

M(X,Y) = (\dfrac{x_1+w}{2},  \dfrac{y_1+y}{2})

From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2

Substituting the given end points into the given formula to get the other end points, we will have;

X = \dfrac{x_1+w}{2} \\2 =  \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3

Similarly;

Y = \dfrac{y_1+y}{2} \\2 =  \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6

<em>Hence the other endpoint (w, y) is (3,6)</em>

8 0
3 years ago
6+7m&lt;6m or 3m-7&lt;5+6m
gogolik [260]

Step-by-step explanation:

6+7m<6m or 3m-7<5+6m

6<7m+6m or 3m-6m<5+7

6<13m or -3m<13

m<13/6 or m<13/-3

m<2.16 or m<-4.333

m<2.2 or m<-4.34

5 0
3 years ago
1) A jewelry store bought 8 beautiful diamond necklaces. Each necklace cost $9,000. How
dimaraw [331]

Answer:

9000x8

=$72000

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The
svet-max [94.6K]

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

6 0
3 years ago
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