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rosijanka [135]
3 years ago
9

the vertices of ABC are A(2, -5) B(-3, 5) C(3, -3) the triangle is reflected over the x-axis use arrow nation to describe the or

iginal triangle and it reflection.
Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

ANSWER

A(2,-5)\to A'(2,5)

B(-3,5)\to B'(-3,-5)

C(3,-3)\to C'(3,3)

EXPLANATION

The vertices of ABC are A(2, -5) B(-3, 5) C(3, -3).

We want to find the vertices of this triangle after a reflection over the x-axis.

The mapping for the reflection over the x-axis is

(x,y)\to (x,-y)

Therefore,

A(2,-5)\to A'(2,5)

B(-3,5)\to B'(-3,-5)

C(3,-3)\to C'(3,3)

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Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2-2, from x=-1 to x=1
PSYCHO15rus [73]

1

∫ f(x) dx = x⁵/5 + 3x⁴/4 - 5x³/3

-1

[1⁵/5 + 3⁴/4 - 5³/3] - [ -1⁵/5 -3⁴/4 +5³/3]

plug that into your calculator and that's your rate of change

5 0
3 years ago
Delta furnishings received an invoice dated may 10 for a shipment of goods received june 21. The invoice was for a $8400.00 less
djyliett [7]

Answer:

The right solution is:

(a) $1,940

(b) $2,813

Step-by-step explanation:

Given:

Invoice amount

= $8,400

Discount 1

= 33.33%

Discount 2

= 12.5%

So,

The net payable amount will be:

= 8400\times  [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]

= 8400\times \frac{2}{3}\times 0.875

= 4900 ($)

Now,

(a)

Amount paid will be:

= 2000\times 0.97

= 1940 ($)

Balance still to be paid will be:

= 4900-2000

= 2900 ($)

(b)

Amount paid will be:

= (4900- 2000)\times 0.97

= 2900\times 0.97

= 2813 ($)

Balance still to be paid will be:

= 2000 ($)

Thus the above solution is the appropriate one.

6 0
3 years ago
The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter
CaHeK987 [17]
X - a leg  (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
(x+1)^2=x^2+(x-6)^2

Use:(a\pm b)^2=a^2\pm2ab+b^2

x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}

x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}

The perimeter:

7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}
5 0
3 years ago
PLEASE HELP ME ASAP! Are my answers correct?
likoan [24]
Yes, they are correct
4 0
3 years ago
Read 2 more answers
BRAINLIEST if right!
Vaselesa [24]

Answer:

The equation:  2 + 1.75m < 35

Solution:  m < 10

Shannon can travel 10 miles or less

Step-by-step explanation:

You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.

3 0
3 years ago
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