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2 years ago

Exam Guidelines

Mathematics

1 answer:

Ganezh [65]2 years ago

7 0

Answer:

it's A because it's not B or C

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Ireland has a 23% VAT (value-added tax, similar to a sales tax). How much will the VAT be on a purchase of a €250 item?

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€250 x 1.23 (123%) = €307.50

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3 years ago

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Sandy grew 8 turnips joan grew 6 turnips how many turnips did they grow in all

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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3 years ago

(Algebra 1 ~ High School)

Ivan

Step 2 I believe. You are supposed to find the absolute value before adding

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3 years ago

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Find the slope of line that is parallel to -2x=3y+5

In-s [12.5K]

Answer: m = $-\frac{2}{3}$

Step-by-step explanation:

Turn the equation into slope-intercept form: $-3y = 2x + 5$

Reduce: $y = -\frac{2}{3}x -\frac{5}{3}$

Your parallel slope is: $-\frac{2}{3}$

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2 years ago