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3 years ago

HELP ASAP!!!!!! Please

Mathematics

1 answer:

MissTica3 years ago

8 0

1. Distributive property, because you are "distributing" the 5 across the parentheses.

2. Since we know that 5/10 is 0.5, this term must be close to that. 5/9 is about 0.55555, therefore, I'd go with 5/9 = 0.55

Hope I could help!

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What is 59424.77 rounded to the nearest square mile

Viefleur [7K]

59,424.77 rounded to the nearest square mile is 59,425.

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Find a8 in the arithmetic sequence with a1=-7 and d=0.5

gavmur [86]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
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d=\textit{common difference}\\
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3 years ago

If the endpoints of the diameter of a circle are (8, −6) and (4, −2), what is the standard form equation of the circle?

Gennadij [26K]

We do the midpoint formula to find the center of the circle to get the left side of the equation.

Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]

Now plug in:

[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)

The center of the circle is (6, -4)

Now we plug it into the equation of a circle:

(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.

(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C

Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:

√((X₂ - X₁)² + (Y₂ - Y₁)²)

We plug in using either of the endpoints.

√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8

√8 is your radius

(√8)² = 8

Your correct answer is (x - 6)² + (y + 4)² = 8, Option D

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3 years ago

Hey y'all you mind helping me with this geometry problem, I appreciate it very much!!

erica [24]

4x = 3x + 10

x = 10

4(10) = 40

3(10) + 10 = 40

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2 years ago

Suppose matrix product AB is defined. (a) If A is 4 x 7 and B is a column matrix, give the dimensions of B and AB. [4 marks] (b)

Lesechka [4]

Answer:

(a) Order of matrix B is 7 × 1 and order of matrix AB is 4 × 1.

(b) Order of matrix A is 5 × 5.

Step-by-step explanation:

The product of two matrices is possible if and only if column of first matrix is equal to row of second matrix.

If A is an n × m matrix and B is an m × o matrix, their matrix product AB is an n × p matrix,

(a)

It is given that order of matrix A is 4 x 7.

B is a column matrix. It means the number of column in matrix B is 1.

Let the order of matrix B = n × 1

Product of matrices A and B is possible if and only if column of matrix A is equal to row of matrix B.

$n=7$

Order of matrix B is 7 × 1

$A_{4\times 7}B_{7\times 1}=AB_{4\times 1}$

Order of matrix AB is 4 × 1.

(b)

Order of matrix B = 5 × 5

It is given that A is the identity matrix.

Identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else.

So, order of matrix A is equal to order of matrix B.

Order of matrix A = 5 × 5

Therefore order of matrix A is 5 × 5.

(c)

Order of matrix A = 4 × 5

Order of matrix AB = 4 × 7

Let Order of matrix B = n × m

$A_{4\times 5}B_{n\times m}=AB_{4\times 7}$

Product of A and B are possible if and only if n=5.

$A_{4\times 5}B_{5\times m}=AB_{4\times 7}$

$AB_{4\times m}=AB_{4\times 7}$

On comparing both sides, we get

$m=7$

Therefore the order of matrix B is 5 × 7.

6 0

3 years ago