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3 years ago

5

Jack is building 5 raised garden beds in a community garden each raised garden bed will need 178 bag of soil how many bags of so

il does Jack need for all five raised garden beds

1 answer:

dsp733 years ago

3 0

Answer:

890

Step-by-step explanation:

5 raised garden beds will need 178×5=890 bags of soil

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The slope of a line is -4 and it’s y-intercept is (0,4) what is the equation of the line that is perpendicular to the first line

Rasek [7]

Original line equation: y=-4x+4

Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.

Perpendicular line equation: y=1/4x+b

Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.

2=1/4(-8)+b

Multiply.

2=-2+b

Add 2 to both sides.

4=b

Equation of the perpendicular line: y=1/4x+4

Hope this helps! :)

4 0

3 years ago

Consider the quadratic equation: 5x2 + 2x + 1 = 0. 1) Which statement is true about the roots of the given quadratic equation? A

IRINA_888 [86]

Hello!

In math, there is always something called the discriminant. This is represented by the equation $b^{2} -4ac$ , when a quadratic = $ax^{2} + bx + c$ . The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)

Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.

$b^{2} -4ac$

$2^{2} -4(5)(1)$

$4 - 20$

$-16$

Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.

Hope this helps!

5 0

3 years ago

I need the answer this quiz. I wasnt at school for a week and I forgot how to do thiz. I need the answer

xz_007 [3.2K]

All you do is calculate the area of a whole big triangle
estimate
1 3/4 =2
base = 2(2) + 2(1) = 6
height = 2

A = 1/2(6)(2)
A = 12/2
A = 6

answer is A
6 m^2

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3 years ago

A television Mark 1600 was sold for 1200 what percent discount was given on that television

adoni [48]

Answer:

25%

Step-by-step explanation:

Discount = 1600 - 1200 = 400

Percentage discount

$= \frac{400}{1600} \times 100 \\ \\ = \frac{400}{16} \\ \\ = 25\%$

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2 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

so

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago