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sineoko [7]
3 years ago
14

Help ASAP will give BRAINLIEST

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer: The new coordinates are A(0, 0) B(-4, -2) C(0, -5)

Step-by-step explanation: The formula for 90 degrees counter-clockwise is (x, y) to (-y, x)

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If the null space of A4×5 is exactly a two-dimensional plane, answer the following:
Hatshy [7]

Answer:

I.

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

V.

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0
3 years ago
The braking distance in feet of a car traveling at v miles per hour is given by d=1/20v^2 + 2.2v
Alexxx [7]

Answer: B. 500

Step-by-step explanation:

Ask for details  Follow Report by Anchorman 1 hour ago

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6 0
3 years ago
Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

x=y+2

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

35x+10y=385

3. Solve the system of two equations:

\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.

Substitute the first equation into the second equation:

35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9

7 0
3 years ago
Read 2 more answers
Use the function below to find F(4)
Ne4ueva [31]

Answer:

A 256/3

Step-by-step explanation:

1/3 * 4^4 =

1/3 * (4*4*4*4) =

1/3 * 256 = 256/3

4 0
2 years ago
Read 2 more answers
A 3. On a recent shopping trip, you see a sale advertising 4 pairs of socks and 3 pairs of shoes for $90. Write an equation usin
Mamont248 [21]
The correct answer is D) 4x + 3y = 90.

x = pairs of socks
y = pairs of shoes
90 = total cost of the sum of socks and shoes

Combining these with the given quantities for each variable:

4x + 3y = 90
6 0
2 years ago
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