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3 years ago

The length of a rectangle is 3 more inches than its width. The area of

Mathematics

2 answers:

Lilit [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Length: a

Width: b

ab = 54

a = b + 3

=> (b + 3)b = 54

=> b^2 + 3b = 54

=> b^2 + 3b - 54= 0

=> (b - 6)(b + 9)

=> b = 6 AND b = -9

Rectangular's sides > 0 => b = 6

Hope it's helpful :)

Zolol [24]3 years ago

5 0

The tittle in usbfphwzo 88

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Aliana will use 3.75 inches to make her necklace

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3 years ago

Nicoles school is delling tickets to a play. On the first day of ticket sales the school sold 6 senior citizen tickets and 10 st

murzikaleks [220]

Answer:the price of one senior citizen's ticket is $4

the price of one student ticket is $10

Step-by-step explanation:

Let x represent the price of one senior citizen's ticket

Let y represent the price of one student ticket.

On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that

6x + 10y = 124 - - - - - - - - - - 1

The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that

12x + 5y = 98 - - - - - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

12x + 20y = 248

12x + 5y = 98

Subtracting, it becomes

15y = 150

y = 150/15 = 10

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6x = 124 - 100 = 24

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8 0

3 years ago

The equation of the parabola with vertex (-5,3), with axis parallel to the x-axis, opening to the right and with x-intercept x =

lutik1710 [3]

Answer:

$x=1(y-3)^2-5$

Step-by-step explanation:

we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.

general equation of horizontal parabola is

$x=a(y-k)^2+h$

where (h,k) is the vertex

(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation

$x=a(y-3)^2-5$

Now find out the value of 'a' using x intercept (4,0)

$4=a(0-3)^2-5$

$4=a(-3)^2-5$

$4=9a-5$

Add 5 on both sides

$9=9a$

a=1

the equation becomes

$x=1(y-3)^2-5$

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3 years ago

6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is

AleksandrR [38]

Answer:

$y = -\frac{5}{4} x+5$

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of those points into it, then simplify:

$m =\frac{0-5}{4-0} \\m = \frac{-5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for $m$ and $b$ in the slope-intercept formula, $y = mx + b$ , to write the equation of the line. Since $m$ represents the slope, substitute $-\frac{5}{4}$ for it. Since $b$ represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

$y = -\frac{5}{4} x+5$

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3 years ago

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Montano1993 [528]

Answer:

It is C sorry if im wrong :)

Step-by-step explanation:

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3 years ago