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2 years ago

Find the value of x.

Mathematics

1 answer:

slavikrds [6]2 years ago

3 0

Answer:

$x=11$

Step-by-step explanation:

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

$(x+5)=\frac{1}{2}(3x-1)$

solve for x

Multiply by 2 both sides

$2x+10=3x-1$

subtract 2x both sides

$10=3x-1-2x$

$10=x-1$

Adds 1 both sides

$x=11$

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Solve each equation by completing the square 2q^2+8q=3

3241004551 [841]

Answer:

Divide by 2

q^2+4q=3/2

q^2+4q(4/2)^2=3/2+(4/2)^2

(q+4/2)^2=3/2+16/4

taking the square root of both side

√(q+4/2)^2=√(3/2+16/4)

Note that the square will cancel the square root then you will take LCM on the right hand side

q+4/2=√6+16/4

q+4/2=√22/4

q= -4/2+-√22/4

q=(-4+_√22/4)

5 0

3 years ago

Ten less than half of a number(x) is 6.

Likurg_2 [28]

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

$\frac {x}{2} - 10 = 6$

Lowest common denominator (LCD) = 2

We multiply all through by 2;

$2* \frac {x}{2} - 2*10 = 2*6$

$x - 20 = 12$

$x = 12 + 20$

x = 32

Therefore, the unknown number is 32.

3 0

2 years ago

natulia [17]

Answer:

I think 1 day

Step-by-step explanation:

I am not sure :)

8 0

2 years ago

You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius

Natalka [10]

Answer:

$(x+4)^2+(y-5)^2=9$

Step-by-step explanation:

If the corner of your porch is the origin

4 ft to the left, x=-4
5 ft in front, y=5

The tree's location is at (-4,5).

A circular fence 3 ft in radius has its center at the tree(-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

$(x-h)^2+(y-k)^2=r^2$

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

$(x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9$

8 0

3 years ago

The barrels weighed 834 pounds apiece. The ship's cargo included 612 barrels.

Reika [66]

Answer:

There needs to be more information, sorry!

Step-by-step explanation:

5 0

3 years ago