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4 years ago

The vertex form of a function is g(x) = (x - 3)2 + 9. How does the graph of g(x) compare to the graph of the function

Mathematics

1 answer:

mihalych1998 [28]4 years ago

7 0

Answer:

Its the second choice.

Step-by-step explanation:

g(x) = (x - 3)^2 + 9

The -3 in the parentheses moves the graph of x^2 3 units to the right.

The + 9 moves it upwards 9 units.

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

4 years ago

the volume of the truck is 162 yards. To find how many cubes will fit in each dimension, divide that length by the side of the c

spayn [35]

Answer:

180 cubes would be fit inside the truck

Step-by-step explanation:

well we know 1 cube is 1/10 of a yard

so let’s make it a easier number and say 10 cubes is 1 yard (you multiply 10 on each side, as long as you multiply the same number, which can be any number but I use 10 since it’s easier, on both sides, it’ll be the same thing.

so 162/10=16

So 16, 10 cubes si we multiply those two and you’ll get 160.

But there’s 2 yards not filled yet, we know that 1 yard is 10 cubes, so 2 yards would be 20 cubes.

so 160+20=180

180 cubes

3 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE SOLVE THIS????????? NEED HELP!!!!!

MrMuchimi

Answer:

#1: A and B

#2: B

#3: B

#4: A, C, and D

#5: D

Step-by-step explanation:

6 0

3 years ago

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students and

jok3333 [9.3K]

the answer is 52 in each bus.

4 students rode in a car means 472-4=468

if 468 students were divided into 9 buses then 472÷9=52

4 0

3 years ago

HELP ME WITH THIS!! WILL GIVE BRAINLIST

abruzzese [7]

6 x 7 + 9 x 7

Explanation:
Ok so if you separate that figure into two shapes, you will have 2 rectangle.

Its kinds too long to explain, but just know that to find the formula of a rectangle is length x width.

So, find the area of the rectangle on the left first:
The width of the rectangle on the left is 6
The length is 7
Multiply 6 x 7

Next, find the area of th rectangle on the right:
The length is 9
The width is 7
Multiply 9 x 7

Since this is originally one figure, we do this:
6 x 7 + 9 x 7

MARK BRAINLIEST
Com ment me if u have ang questions

7 0

3 years ago