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aleksley [76]
3 years ago
11

What is the soution of (Image below)

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Starting with the original equation:

\sqrt{1-3x} =x+3

Squaring both sides to remove the root, and expanding the right side:

1-3x=(x+3)(x+3)

Multiplying the right side:

1-3x=x^{2} +6x+9

Combine like terms:

x^{2} +9x+8

Factor:

(x+8)(x+1)

If x+8=0, then x= -8

If x+1=0, then x=-1

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Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

4 0
2 years ago
The perimeter of a rectangular garden is 37.5 feet (ft). The width is x and the length is 15 ft. What is the width, in feet, of
nikitadnepr [17]

Answer:

the width is 22.5 ft

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-5(-7,3) in y=mx+b form
kenny6666 [7]
Assuming -5 is m

y-3 = -5 (x + 7)
y - 3 = -5x - 35 
y = -5x - 33

hope this helps , give brainliest.
7 0
3 years ago
Take different values for x and find the value of 3x+5.​
Eva8 [605]

Answer:

when x=1

3x+5.=3×1+5=8

when x=0

3x+5.=3×0+5=5

Step-by-step explanation:

when x=-1

3x+5.=3×-1+5=-3+5=2

4 0
2 years ago
Read 2 more answers
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe
slava [35]
3y  = 5x + 30

y + 5x = 50 .......(1)

3y - 5x = 30 .....(2)        - rearranging the first equation.

Add (1) and (2):-

4y = 80

y = 20  
Now plug y = 20 into equation (1):-
20 + 5x = 50
5x = 30 
x = 6

The 2 numbers are 6 and 20.

5 0
3 years ago
Read 2 more answers
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