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2 years ago

Simplify k - 1 + 1 - 4k

Mathematics

1 answer:

zhenek [66]2 years ago

4 0

Answer:

-3k

Step-by-step explanation:

k-1+1-4k

k-4k

-3k

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Tom gets a bonus of 30% of £96

Alchen [17]

Answer:

The difference between their bonus is £2.60

Step-by-step explanation:

The bonus Tom receives is 30% of £96

Tom's bonus

$= \frac{30}{100} \times 96$

$= 28.8$

So the bonus Tom received is £28.8

From the question, Sally gets a bonus of £31.40

We need to find the difference between the bonus Tom gets and the bonus Sally gets.

This given by:

£31.40 -£28.8=£2.60

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3 years ago

What is (16, -6) dilated with a scale factor of 1.5

Alexandra [31]

We need to see the other points

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2 years ago

Why might you expect most absolute value equations to have two solutions? Why not three or four?

Travka [436]

Answer:

If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.

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2 years ago

In a certain lottery, the winner of the first ticket drawn receives $10. Each succeeding ticket drawn is worth $15 more than the

kifflom [539]

The value of each winning ticket is an arithmetic series in which T (n) = -5 + 15n or $5 (3n-1). The first winner is 5 (3x1 - 1) = $10. The second winner is 5 (3x2 - 1) = $25. The tenth ticket wins $5 (3x10 - 1) = $5 (29) = $145.

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3 years ago

WILL MARK BRAINLIEST!

Artist 52 [7]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Dilation implies the triangle $\Delta XYZ$ stretched through the factor "2".

$m\angle Y = m\angle C = 90^{\circ} \leftarrow given \\\\$

right triangles:

$\Delta XYZ and \Delta ACB \\\\\angle X \cong \angle A \leftarrow given\\\\$

complementary angles:

$\angle X \ and\ \angle Z$

$m\angle Z = 90^{\circ} - m\angle X \\\\$

complementary angles:

$\angle A \ and\ \angle B$

$m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta XYZ \sim \Delta ACB \\\\$

Same triangles: proportional side are corresponding, congruence angles are respective.

$\sin \angle X = \frac{5}{5.59} \leftarrow given \\\\\sin\angle X = \frac{YZ}{XY} \\\\YZ = 5 (units) \rightarrow leg in \Delta XYZ \\\\XZ = 5.59 (units) \rightarrow hypotenuse \ in\ \Delta XYZ\\\\$

Calculating the length of leg XY:

$XY = \sqrt{((5.59)^2 - 52)} \cong 2.4996 (units)\\\\\frac{CB}{YZ} = 2 \leftarrow given \\\\CD = 2YZ = 2 \times 5 = 10 \ (units)\\\\\frac{AC}{XY} = 2 \leftarrow \ given\\\\AC = 2XY \cong 2 \times 2.4996 \cong 4.999\ (units)\\\\$

3 0

2 years ago