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TiliK225 [7]
3 years ago
6

− 6/b ​−50=-49 what is b

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

-6

Step-by-step explanation:

-6/b-50=-49

step1;collect like terms

-6/b=-49+50

-6/b=1

step2;cross multiply

-6/b=1

-6=1b(1b can also be regarded as b)

b=-6

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Point M is located at (-2,7). If point N is 10 units away from point M, how many possible cordinate pairs
natulia [17]

Answer:

2 possible coordinate pairs

N (8, 17) OR (-12, -3)

Step-by-step explanation:

The rule:

(x, y) => (x + 10, y + 10) OR (x - 10, y -10)

(-2 + 10, 7 + 10) OR (-2 - 10, 7 -10)

(8, 17) OR (-12, -3)

Hope this helps!

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Item 2<br> Write the word sentence as an equation.<br><br> A number m<br> increased by 5 is 7.
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Answer:

m+5=7

Step-by-step explanation:

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Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)
denis23 [38]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = \frac{opposite}{adjacent} = \frac{18}{a}

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = \frac{18}{tan48} ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = \frac{opposite}{hypotenuse} = \frac{18}{c}

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = \frac{18}{sin48} ≈ 24.2 ( to the nearest tenth )

4 0
3 years ago
The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
3 years ago
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