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2 years ago

6

Name the ray in TWO different ways. M N P

1 answer:

Paha777 [63]2 years ago

4 0

MP
PM
Assuming your n is on a side

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What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

$\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}$

3 0

2 years ago

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my

malfutka [58]

Answer:

865

Step-by-step explanation:

Let the 3-digit number is <u>abc</u> = 100a + 10b + c.

<u>We have:</u>

100a + 10b + c - 100c - 10b - a = 297
b = a - 6
a = 2c - 2

<u>Simplify the first equation:</u>

99a - 99c = 297
a - c = 3
a = c + 3

<u>Solve for c by substitution:</u>

2c - 2 = c + 3
2c - c = 3 + 2
c = 5

<u>Find a:</u>

a = 3 + 5 = 8

<u>Find b:</u>

b = 8 - 2 = 6

<u>The number is:</u>

865

3 0

3 years ago

Please help! What is 1 1/2+1/6?<br><br> -giving out 20 points

Mice21 [21]

$1 \frac{2}{3}$

Hope it helps

7 0

2 years ago

Read 2 more answers

3(x+1)+5(x+1)=64<br> What is x

Karo-lina-s [1.5K]

Answer:

x=7

Step-by-step explanation:

3(x+1)+5(x+1)=64

(3+5)(x+1)=64

8(x+1)=64

8x+8=64

8x=56

x=7

6 0

3 years ago

Read 2 more answers

A car can travel 80 miles an hour. How many miles will the car travel in 6 3/4 hours?

Hoochie [10]

6 3/4= 6.75

80 mph * 6.75 hours = 540 miles total

Final answer: 540 miles

7 0

3 years ago

Read 2 more answers