3 years ago

What point is 9 units right and 3 units up from point (3,4)?

Mathematics

2 answers:

Tomtit [17]3 years ago

4 0

Answer: (6,12)

Step-by-step explanation:

3+3=6

4+9=12

Kaylis [27]3 years ago

3 0

Answer:

(12,7)

Step-by-step explanation:

9+3&3+4

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Which of the binomials below is a factor of this trinomial?<br> x² - 4x - 12

marysya [2.9K]

Step-by-step explanation:

x2 - 4x - 12

Finding factors of 12 then

x2 - 6x + 2x - 12

x( x - 6) + 2 (x - 6)

So the factors are (x+2) (x-6)

7 0

3 years ago

What is equivalent to 2x^2+9x+9

melamori03 [73]

(2x + 3) • (x + 3)

2x • x = 2x^2

2x • 3 = 6x

3 • x = 3x

3 • 3 = 9

6x and 3x combine to get 9x, which when all written out is equal to your original trinomial.

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3 years ago

A car averages 16.8 miles per gallon and uses 265 gallons traveling cross-country. What was the distance the car traveled

Norma-Jean [14]

1 gallon = 16.8 miles

265 gallons = 16.8 x 265 = 4452 miles

Answer: 4452 miles

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3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

A school principal claims the graduation rate at a school is 96%. Molly, a student at this school, takes a random sample of stud

Crazy boy [7]

Answer:

No, because the interval contains 0.96.

Step-by-step explanation:

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3 years ago