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MrRa [10]
3 years ago
11

QUICK!! 18x^2+21x-60=0 pls give me the steps as well

Mathematics
2 answers:
kati45 [8]3 years ago
7 0

Answer:

39x+58

Step-by-step explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

Anton [14]3 years ago
5 0

Answer:

<h2>x1 =  -  \frac{5}{2}</h2>

x2 =  \frac{4}{3}

Step-by-step explanation:

18 {x}^{2}  + 21x - 60 = 0

Divide both sides of the equation by 3

6 {x}^{2}  + 7x - 20 = 0

Write 7x as a difference

6 {x}^{2}  + 15x - 8x - 20 = 0

Factor out 3x from the expression

3x(2x + 5) - 8x - 20 = 0

Factor out -4 from the expression

3x(2x + 5) - 4(2x + 5) = 0

Factor out 2x + 5 from the expression

(2x + 5)(3x - 4) = 0

When the product of factors equals 0 , at least one factor is 0

2x + 5 = 0

3x - 4 = 0

Solve the equation for X

2x + 5 = 0

Move constant to R.H.S and change its sign

2x = 0 - 5

Calculate the difference

2x  =  - 5

Divide both sides of the equation by 2

\frac{2x}{2}  =  \frac{ - 5}{2}

Calculate

x 1=  -  \frac{5}{2}

Again,

3x - 4 = 0

Move constant to RHS and change its sign

3x = 0 + 4

Calculate the sum

3x = 4

divide both sides of the equation by 3

\frac{3x}{3}  =  \frac{4}{3}

Calculate

x 2=  \frac{4}{3}

Hope this helps..

Best regards!!

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Svetradugi [14.3K]

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

60x=420

x=\dfrac{420}{60}

x=7

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

5 0
3 years ago
Find the area of the figure . Sides meet at right angles .
AlexFokin [52]

Answer:

49,152

Step-by-step explanation:

top side=12ft

5 bottom sides=4ft each

2 L,R sides=2ft each

= 12×4×4×4×4×4×2×2

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3 0
3 years ago
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Maurinko [17]

Answer:

y2-y1/x2-x1

Step-by-step explanation:

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Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
Gekata [30.6K]

By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.

<h3>How to determine angle <XYZ?</h3>

By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.

<h3>What is the theorem of intersecting secants?</h3>

The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants, angle XYZ will be given by this formula:

<XYZ = ½ × (m<WZ - m<XZ)

Substituting the given parameters into the formula, we have;

<XYZ = ½ × (175 - 105)

<XYZ = ½ × 70

<XYZ = 35°.

By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.

Read more on intersecting secants here: brainly.com/question/1626547

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6 0
2 years ago
Write the expression in word form 12÷6×2
finlep [7]

Answer:

Twelve divide by six times two.

4

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right.

First, multiply & divide numbers from left to right.

\displaystyle 12\div6\times2

\displaystyle 12\div6=2

\displaystyle 2\times2=4

Therefore, the correct answer is twelve divide by six times two or 4.

<h2>Hope this helps!</h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
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