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3 years ago

Write the augmented matrix for each system of equations.

Mathematics

1 answer:

choli [55]3 years ago

4 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

The augmented matrix is the 3×4 matrix of the coefficients in the standard-form equations.

$\left[\begin{array}{ccc|c}5&-4&-6&-3\\1&-3&1&-1\\-3&-6&7&1\end{array}\right]$

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Syd chooses two different primes, both of which are greater than $10,$ and multiplies them. The resulting product is less than $

Mars2501 [29]

Answer:

Step-by-step explanation:

There are 7 primes between 10 and 35: 11, 13, 17, 19, 23, 29, 31.

The product of 11 and any of the others will be less than 350, 6 products.

The product of 13 and any below 26 will be less than 350, 3 more products.

The product of 17 and any below 20 will be less than 350, 1 more product.

There are a total of 10 different products below 350 possible.

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11·13, 11·17, 11·19, 11·23, 11·29, 11·31, 13·17, 13·19, 13·23, 17·19

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4 years ago

The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?

Elis [28]

Answer:

110 degrees

Step-by-step explanation:

The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.

8 0

3 years ago

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

Kitty [74]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

$\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3$

The coordinates of the fourth vertex is D(4,-3)

3 0

3 years ago

I need help on finding the value of x <br> Can someone please help me?

Yuliya22 [10]

Answer:

x=25 degrees and the angles are vertical (opposite each other)

Step-by-step explanation:

(4x-25)=75

4x=100

x=25

3 0

3 years ago

Read 2 more answers

How do I get it to equal zero

Mashutka [201]

Answer:

multiply it by zero

Step-by-step explanation:

zero times anything is zero

7 0

3 years ago