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3 years ago

Ac is a line segment and b is the midpoint of line segment ac

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

Step-by-step explanation:

As B is the mid point, the length of AB = BC

5x - 3 = 2x + 9

3x = 12

x = 4

AC = 2(5(4) - 3) = 2(17)

AC = 34

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Each day Donna and Mary toss a coin to see who buys the other person coffee ($2.34 a cup). One tosses and the other calls the

netineya [11]

Answer:

yes

Step-by-step explanation:

Each day Donna and Mary toss a coin to see who buys the other person coffee ($2.34 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct, the other buys the coffee; otherwise the caller pays. Assume that an honest coin is used, that Mary tosses the coin, and that Donna calls the outcome.

7 0

3 years ago

The diameter is a circle is 16in. Find it’s circumference in terms of π. C= ________in

DIA [1.3K]

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

★ Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

→ C = 16π in

Therefore, 16π inches is the required answer.

7 0

3 years ago

Does any one know the answer to this thank you

makvit [3.9K]

Answer:

The First choice

Step-by-step explanation:

8 0

3 years ago

The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is

emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation. Solve using factoring...

(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)

b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0

b = -24

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

b = 8

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

h = (1/2)(8) + 8

h = 4 + 8

h = 12

8 0

4 years ago

Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)

laiz [17]

Answer:

point - slope form

y - 1 = 3 (x-0)

Step-by-step explanation:

step(i):-

Given points are (0,1) and (2,7)

The slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2} = 3$

m =3

Step(ii):-

point -slope form

y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

y - 1 = 3 (x-0)

y -1 = 3x

3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0

4 0

3 years ago