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Sliva [168]
4 years ago
15

Explain how you know that 5/8 + 6/10 is greater than 1.

Mathematics
1 answer:
prisoha [69]4 years ago
6 0
Because 5/8 + 6/10 is 49/40 and 49/40 is equal to 1 9/40
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The length of a rectangle is 4ft less than its width.The area of the rectangle is 6oft<img src="https://tex.z-dn.net/?f=%5E%7B2%
Alexeev081 [22]

Answer:

Width is 10ft and length is 6ft.

Step-by-step explanation:

The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.

A = l*w\\60 = w(w -4)\\60 = w^2-4w

Subtract 60 from both sides and factor the quadratic to solve for w.

w^2 -4w - 60 = 0\\(w-10)(w+6) = 0

Set each factor equal to 0 and solve.

w - 10 = 0 so w = 10

w + 6 = 0 so w = -6.

Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.

5 0
3 years ago
What is the equation of the line 2-3y = 18 in slope-intercept form?
il63 [147K]
The person above me got that horrible wrong, do not put that.

You also wrote the question wrong, please be more careful when posting.

x-3y=18

Move x to the other side by subtracting it since it’s positive.

-3y = -x + 18

Divide the whole equation by -3 to find the value of just 1 y.

-3y/-3 = -x/-3 + 18/-3

y = 1/3x -6
4 0
3 years ago
If the quadratic functions for the equations are graphed, which is the widest?
alexandr402 [8]

Answer:

  D)  y = 1/4 x^2

Step-by-step explanation:

For these functions, the leading coefficient can be considered to be either ...

  the vertical scale factor (larger ⇒ narrower)

  the square of the inverse of the horizontal scale factor.

In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.

Either way, you're looking for the smallest leading coefficient: 1/4.

8 0
4 years ago
Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val
avanturin [10]

Answer:

B. No

Cos \ \theta\neq Cos (90-\theta)\textdegree

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

-\theta is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0
3 years ago
A line that includes the point (2,10) has a slope of 9. What is its equation in slope-intercept form
Bumek [7]

Equation: y= 9x+ (y-intercept)

Step-by-step explanation:

equation in slope-intercept form is y=mx+b. <em>m</em> represents the slope of the line, and <em>b</em> represents the y=intercept, which is where the line crosses the y-axis.

3 0
3 years ago
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