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2 years ago

Great day if anyone wants to help!

Mathematics

1 answer:

Aloiza [94]2 years ago

7 0

Answer:

1. Vertex: (4,26)

X-intercept: (9.09,0)(-1.09)

2. Vertex: (-4,-6)

X-intercept: (-1.55,0)(-6.44,0)

Step-by-step explanation:

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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.

6 0

3 years ago

What is the 22nd term of the arithmetic sequence 12, 17, 22, 27, …?

melomori [17]

In simple words you just find what is being added to each term in order to get the next term. Subtracting 17 by 12 you get 5, 22 minus 17 is 5 as well. Now that what is being added is found, you go by the last term given which is 27. You keep adding 5 to the number until you get to the 22nd term which would result in 117. If you would want to know the equation in order for it to be plugged in then you would use f(x)= 7+5x . You would want to use this equation instead of f(x)= 12+5x because putting 1 as x would make it equal to 17 which is NOT the first term but the second.

4 0

4 years ago

Read 2 more answers

REY [17]

Answer:

TFY

Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

and then

Y ~ S

6 0

3 years ago

A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calcula

slega [8]

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = $\frac{80}{100} = \frac{4}{5}$

This means that the

Sale Price= $\frac{4}{5}$ x 350 = 280 AED

6 0

3 years ago

Read 2 more answers

Find the product. (-3ab2)3 -27 a3b6 -9 a3b5 -23 a2b2 27 ab

7nadin3 [17]

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

Explanation:-

Given ( -3 ab² )³

By using (ab )ⁿ = aⁿ bⁿ

( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula $(a^{m} )^{n} = a^{mn}$

= -27 a³ b⁶

6 0

3 years ago