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2 years ago

Complete the description of the slope of the line that joins the points

Mathematics

1 answer:

Grace [21]2 years ago

7 0

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

(-3, 4)

(2, -2)

Finding the slope between (-3, 4),(2, -2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$ '

$\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)$

$m=\frac{-2-4}{2-\left(-3\right)}$

$m=-\frac{6}{5}$

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

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Suppose a system of linear equations has a 3 5 augmented matrix whose fifth column is a pivot column. is the system consistent?

likoan [24]

Answer:

The system will be inconsistent.

Step-by-step explanation:

We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.

Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.

Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.

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2 years ago

What is the area of an isosceles trapezoid, if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular

kicyunya [14]

Call the point of intersection of the diagonals point X.

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The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.

... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²

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2 years ago

[100 POINTS]!!

Lelechka [254]

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2 years ago

Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$