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noname [10]
3 years ago
14

Solve the equation: 2 sqrt x-3-5 =1

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0
Exact form 81/4 Decimal form 20.25 Mixed number form 20 1/4
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Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
4 years ago
Determine the scale factor for each pair of triangles
Alik [6]

Triangle A is the original triangle, and triangle A' is the image.

We need a pair of corresponding sides in the two triangles that are both labeled with lengths.

We see the side labeled 15.2 mm in triangle A', and we see the side labeled 3.8 mm in triangle A. These two sides are corresponding sides.

Divide the length of the side in the image by the length of the side in the original to find the scale factor.

(15.2 mm)/(3.8 mm) = 4

The scale factor is 4.

6 0
3 years ago
24 fl oz =___ pt ___c. i hope you can understand wat i have nean pliz
tiny-mole [99]
24 fl oz= 1 pint and 1 cup
6 0
4 years ago
Read 2 more answers
Peter is making new cushion covers for a chair. There are three sizes of
Lesechka [4]

Answer:

A 846 square inches

Step-by-step explanation:

Use the net:

Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.

Rectangle 2: 21 in by 3 in

Rectangle 3: 21 in by 3 in

total area = sum of areas of 3 rectangles above.

total area = (48 in * 15 in) + 2(21 in * 3 in)

total area = 720 in^2 + 126 in^2

total area = 801 in^2

Answer: A 846 square inches

6 0
3 years ago
Determine the standard form of the equation for the circle with center (h,k)= (0,-2) and radius r=9
gladu [14]
Use the std eqn of a circle with center at (h,k) and radius r:

(x-0)^2 + (y+2)^2 = 9^2, or just x^2 + (y+2)^2 = 9^2.
5 0
4 years ago
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