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3 years ago

Which expression represents the distance between the point (a,0) and (0,5)

Mathematics

1 answer:

ycow [4]3 years ago

5 0

That would be
sqrt ( (a-0)^2 + (0-5)^2)

= sqrt (a^2 + 25)

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Liula [17]

$( \frac{f}{g} )(4) = \frac{f(4)}{g(4)} = \frac{ {4}^{2} + 2 \times 4 - 3 }{ {4}^{2} - 9} = \\ = \frac{16 + 8 - 3}{16 - 9} = \frac{21}{7}$

$(f + g)(4) = f(4) + g(4) = 21 + 7 = 28$

8 0

3 years ago

What the restrictions on the domain are

Varvara68 [4.7K]

Answer:

See below.

Step-by-step explanation:

p^2 - 6p - 16 p^2 - 9 ( p - 8)( p + 2) (p + 3)(p - 3)

------------------ + ---------- = ------------------- + -----------------

p^2 - 7p - 18 p + 3 (p - 9)( p + 2) (p + 3)

p - 8

= ------ + (p - 3) (answer)

p - 9

5 0

3 years ago

A rectangular plot of land has a short side that is

Anna71 [15]

1. Let's call the short side $x$ and the long side $y$ .

2. The problem says that the short side is 1/3 the length of the long side. So, you can write the following expression:

$x=\frac{1}{3}y$

3. The formula for calculate the area of a rectangle is:

$A=xy$

4. Then, you must substitute $x=\frac{1}{3}y$ and the value of the area into the formula and solve for $y$ (The long side):

$120,000=(\frac{1}{3}y)(y)\\120,000=\frac{1}{3}y^{2}\\y=\sqrt{(120,000)(3)}\\y=600$

5. Now, you can calculate $x$ (The short side):

$x=(\frac{1}{3})(600)\\x=200$

Therefore, the answer is: 600 feet by 200 feet.

6 0

4 years ago

Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bou

alisha [4.7K]

answer:

bubble gum costs $0.15 and fudge costs $1.05

Step-by-step explanation:

you want to set up a systems of equation.

call cost of fudge "f' and call cost of bubble gum "b". Chase's purchase proves 5.70=5f+3b. Sara's purchase tells us that 3.60=2f+10b. you can solve with substitution or elimination

3 0

3 years ago

A student draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-

faust18 [17]

Answer:

The positive difference between the a values is 0.5

Step-by-step explanation:

we know that

Both parabolas cross the x axis at (-4,0) and (6,0)

The general equation is

$y=a(x+4)(x-6)$

Find the value of a in the first parabola

The y-intercept is (0,-12)

For $x=0, y=-12$

substitute

$y=a(x+4)(x-6)$

$-12=a(0+4)(0-6)$

$-12=a(-24)$

$a=0.5$

Find the value of a in the second parabola

The y-intercept is (0,-24)

For $x=0, y=-24$

substitute

$y=a(x+4)(x-6)$

$-24=a(0+4)(0-6)$

$-24=a(-24)$

$a=1$

Find the positive difference between the a values for the two functions

$1-0.5=0.5$

5 0

3 years ago

Read 2 more answers