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insens350 [35]
3 years ago
9

Need help on this one question please

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0
P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
make a right triangle
Then use the pythereom 
4^{2} + 5^{2} = (PQ)^{2}
41 = (PQ)^{2}
\sqrt{41}  = PQ

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Please help, will mark!!
Temka [501]

Answer:

c = 5

Step-by-step explanation:

The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

Pythagoras theorem

In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs.

If in a right triangle there are legs of length a and b the measure of the hypotenuse is c then the following relation is fulfilled:

a^{2} +b^{2} =c^{2}

With a = 3 and b = 4

c=\sqrt{3^{2} +4^{2}} =\sqrt{9+16} =\sqrt{25} \\c=5

7 0
3 years ago
Francisco has a savings account balance of $2033.88. The interest rate on the account is 2.9% compounded monthly. If he opened t
artcher [175]
The equation for this is:

F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months

The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.

<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147
3 0
3 years ago
Determine whether 6 is a solution of the equation 2x - 5 = 1.
kupik [55]

Answer:

B

Step-by-step explanation:

To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.

2(6) - 5 = 12 - 5 = 7 ≠ 1

Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)

7 0
3 years ago
Show why (2×3×7)^4 = 2^4 × 3^4 × 7^4 show work
Archy [21]
I’m sorry really…. Need points
3 0
3 years ago
Read 2 more answers
If morgan spende 17.50 on gas
ehidna [41]
With $17.50 she can get 11 2/3 gallons. 11 (she just got) + 8 (that she had) = 19 gallons. 19 x 27 MPG = 513 Miles. 
27 divided by 3 = 9 (9 is a third of the MPG) 9 x 2 (since it was 2 thirds that were left) = 18
In total she can drive 531 miles.
8 0
3 years ago
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