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scoundrel [369]

3 years ago

10

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the

student's answer

1 answer:

crimeas [40]3 years ago

8 0

That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.

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Help with this question please

dimaraw [331]

The answer should be C

4 0

3 years ago

For waht values of x do the vectors -1,0,-1), (2,1,2), (1,1, x) form a basis for R3?

DaniilM [7]

<h2>Answer:</h2>

The values of x for which the given vectors are basis for R³ is:

$x\neq 1$

<h2>Step-by-step explanation:</h2>

We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.

We are given three vectors as:

(-1,0,-1), (2,1,2), (1,1, x)

The matrix formed by these vectors is:

$\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]$

Now, the determinant of this matrix is:

$\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-1(x-2)-2(1)+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+2-2+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+1$

Hence,

$-x+1\neq 0\\\\\\i.e.\\\\\\x\neq 1$

4 0

3 years ago

PLEASE HELP LOTS OF POINTS

Cloud [144]

Answer:

Yes

Step-by-step explanation:

they are on the same plane

5 0

3 years ago

Read 2 more answers

The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ

marysya [2.9K]

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

10% Pineapple is 0.10 x 40 = 4 Pineapple pizzas

45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

20% Ham is 0.20 x 40 = 8 Ham pizzas

if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

5 0

3 years ago

Please help I don’t understand how to do this

lara [203]

Answer:

65 degrees

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees. After establishing that, we can see that there are two angles given. 25 degrees and a 90-degree symbol. So if two angles add up to 115 degrees, we can do 180-115=65 to find the angle of C.

6 0

2 years ago

Read 2 more answers