Mathematics, 14.07.2019 06:30, haleymoodie6034

Aconstruction crew must build 3 miles of road in one week. on monday, they build 2/3 mile of road. on tuesday, they build 1/4 mile of a road. how many miles of road do they still have to build thus week?

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answered: zoeann480

So first we need to find how much road they have built already this week (on Monday and Tuesday).

We are told that Monday they built $\frac{2}{3}$ mile and on Tuesday they built $\frac{1}{4}$ mile. So let's add them together. We'll use a denominator of 12, since that is a common factor to both of them. What you do to the bottom of the fraction you must do to the top:

$\frac{2}{3}=\frac{8}{12}$

$\frac{1}{4}=\frac{3}{12}$

So now that we have a common denominator, we can add them together:

$\frac{8}{12}+\frac{3}{12}=\frac{8+3}{12}=\frac{11}{12}$

They built $\frac{11}{12}$ mile of road so far this week. If they need to build 3, we need to subtract $\frac{11}{12}$ from 3 to find how much remains. Let's get 3 to a number of 12 so we have a common denominator:

$\frac{3}{1}=\frac{36}{12}$

Now let's subtract:

$\frac{36}{12}- \frac{11}{12}= \frac{25}{12}=2\frac{1}{12}$

So now we know that the amount of road left that they must build this week is $2\frac{1}{12}$ mile.

answered: Guest

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

$x^2-2x+y^2-6y=26$

we now create space between the x and y terms with parenthesis.

$(x^2-2x)+(y^2-6y)=26$

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

$\frac{-2}{2} =(-1)^{2} =1$

$\frac{-6}{2} =(-3)^{2} =9$

we add the squares to both sides.

$(x^2-2x+1)+(y^2-6y+9)=26+1+9$

simplify.

$(x^2-2x+1)+(y^2-6y+9)=36$

and write the quadratics in factored form.

$(x-1)^{2} +(y-3)^{2} =36$

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answered: Guest

answer: the proof is mentioned below.

step-by-step explanation:

since, given: lines bc = ef

prove: lines ac > ef

statements reason

1. bc=ef 1. given

2. ac= ab+bc 2. because b is the point between the

line segment ac

3. ac > bc 3. because if a line segment is equal to

the sum of two line segments then it is

always greater then each of these

individual line segments

4. ac > ef 4. by equality property.

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Aconstruction crew must build 3 miles of road in one week. on monday, they build 2/3 mile of road. o...