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3 years ago

I know that x=0 but I don't know how I really got that.

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Sqrt(x+4-3)=1
sqrt (x+1) = 1
x+1 = 1^2
x=1-1
x=0

This is how you would get x=0

Hope I helped :)

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A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?

Usimov [2.4K]

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

7 0

2 years ago

The sum of two numbers is 167. The second number is 29 less than three times the first number. Fine the numbers. The two require

Anettt [7]

Answer:

49 and 118

Step-by-step explanation:

Let the two numbers be x and y

x+y = 167

y = 3x-29

Substitute into the first equation

x+ 3x-29 = 167

Combine like terms

4x - 29 = 167

add 29 to each side

4x = 167+29

4x = 196

Divide by 4

4x/4 = 196/4

x = 49

x+y = 167

49+y = 167

y = 167-49

y =118

4 0

3 years ago

Read 2 more answers

Solve the following inequality.<br> -8<3x + 1 <7

lakkis [162]

Answer: -3 < x < 2

Step-by-step explantion

8 0

3 years ago

Maja manages a community garden which has rectangular garden plots that are 15 ft by 10 ft. She wants to add a uniform path arou

tiny-mole [99]

The path should be 6.38 feet wide

Let x be the width of the path.

Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.

So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

A = (15 + x)(10 + x)

Since the combined area of the path is 350 square feet, A = 350 ft²

So, (15 + x)(10 + x) = 350

Expanding the brackets, we have

150 + 15x + 10x + x² = 350

x² + 25x + 150 = 350

x² + 25x + 150 - 350 = 0

x² + 25x - 200 = 0

Using the quadratic formula, we find x, the width of the path

So,

$x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375$

Since x cannot be negative, we choose the positive answer.

x = 6.375 ft

x ≅ 6.38 ft

So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

5 0

3 years ago

Please help me, no links or random answers, please. When you are writing the answer please number it so I know which answer is f

dalvyx [7]

Answer:

Step-by-step explanation:

a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.

b. Y intercept for l2 is point (0,2). Answer is 2.

c. l1 gradient is -1/2. Rise/run

So l1 equation is y = -1/2x + 4

l2 gradient is 1.

Equation is y = x + 2

e. x+2= -1/2x + 4

1.5x = 2

x = 1.333...

y = plug into one of the equations value of x. So y = 3.333...

f. 1.33+ 2 = 3.33

-1/2 times 1.33 + 4 = 3.33 (rounded)

8 0

3 years ago