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2 years ago

In the standard (x, y) coordinate plane, what is the

Mathematics

1 answer:

Rufina [12.5K]2 years ago

7 0

Answer:

Step-by-step explanation:

You simply apply the distance formula:

$d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13$

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The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with a

goldenfox [79]

We know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is
the formula of the function is y=-(11/4)x+11

see the attached figure

7 0

3 years ago

Which set of parametric equations represents the following function y=square root of x+3

Irina18 [472]

The given equation is:

$y= \sqrt{x+3}$

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

$x(t) = 5t \\ 
y(t)= \sqrt{5t+3}$

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

$y= \sqrt{x+3}$

Therefore, the correct answer is option A

3 0

3 years ago

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

$(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{234.25}\\c=15.30$

Hence,

Length of diagonal of picture = 15.30 inches

3 0

3 years ago

There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the

mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x Divide both sides by 3

y = $\frac{112 - 2x}{3}$

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( $\frac{112 - 2x}{3}$ )

x = (224 - 4x) / 3 Multiply each side by 3.

3x = 224 - 4x Add 4x to each side

3x + 4x = 224

7x = 224 Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112 Subtract 96 from each side.

y = 112 - 96

y = 16

5 0

3 years ago

Read 2 more answers

Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing s

lesantik [10]

Answer:

$11.20

Step-by-step explanation:

Another Answer is futile

5 0

2 years ago