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valentina_108 [34]
3 years ago
9

Evaluate 1+3+5+...+25

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0
1+3+5+16+25=50?
is da wat u mean?

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6. A line passes through (1, -5) and (-3, 7).
Phantasy [73]

Answer:

1.y−7=3(x+3)

2.y=3x+16

Step-by-step explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= -\frac{y2-y1}{x2-x1}

plug in the value of x and y from both  of the coordinates into this equation and then use one set of points and slope to get your equation

7 0
3 years ago
At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0
2 years ago
Please help find them <br>1 AB<br><br>2 BC​
spin [16.1K]

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = \sqrt{246.63} ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

\frac{BC}{sin53} = \frac{BD}{sin32} = \frac{12.4}{sin32} ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = \frac{12.4sin53}{sin32} ≈ 18.7 cm ( to 1 dec. place )

         

6 0
2 years ago
Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wedn
rewona [7]

Answer: See explanation

Step-by-step explanation:

Let the number of hamburger he ate on Monday be represented by x.

Monday = x

Tuesday = 0

Wednesday = x + 4

Thursday = 0

Friday = 3(x + 4)

Total hamburgers ate = 26

To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:

= x + 0 + x + 4 + 0 + 3(x+4) = 26

2x + 4 + 3x + 12 = 26

5x + 16 = 26

5x = 26 - 16

5x = 10

x = 10/5

x = 2

Monday = x = 2 hamburgers

Tuesday = 0

Wednesday = x + 4 = 2 + 4 = 6 hamburgers

Thursday = 0

Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers

4 0
3 years ago
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
Lelechka [254]

Answer:

A is the correct answer

Step-by-step explanation:

Area= (8x-2)^2=(8x)^2 -2(8x)(2) +(2)^2

=64x-32x+4

7 0
2 years ago
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