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3 years ago

2(x-7)-5x=13 how do i solve this

Mathematics

1 answer:

Fittoniya [83]3 years ago

4 0

Answer:

x=-9

Step-by-step explanation:

2(x-7)-5x=13

Remove the parenthesis

2x-14-5x=13

Collect like terms

-3x - 14 = 13

Move the constant to the right

-3x=13+14

Calculate

-3x=27

Divide on both sides to get the answer

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The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2

Vera_Pavlovna [14]

<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

$x=-2$

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

$\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.$

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

$\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.$

$5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2$

Now, substituting "y" into the first equation, to isolate "x" we have:

$y=x+4\\\\2=x+4\\\\x=2-4=-2$

Hence we have that the x-coordinate of the solution to the system of equations is

$x=-2$

Have a nice day!

3 0

3 years ago

Read 2 more answers

Anyoneee help im stuck !! 15 points!!

Gnom [1K]

Answer:

Given: $\angle 1$ , $\angle 2$ , $\angle 3$ , $\angle 4$ formed by two intersecting segments.

In the given figure;

Linear pair states that a pair adjacent angle formed when two lines intersect.

Then by definition of linear pairs,

$\angle 1$ and $\angle 2$ forms a linear pair

Also, $\angle 2$ and $\angle 3$ forms a linear pair.

Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).

Then by linear pair postulates;

$m\angle 1+ m\angle 2 =180^{\circ}$

and

$m\angle 2+m \angle 3 =180^{\circ}$

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.

then by substitution property of equality:

$m\angle 1+m\angle 2=m\angle 2+ m\angle 3$

Addition property of equality states that:

if x =y, then x + z = y+ z

By addition property of equality:

$m\angle 1 =m\angle 3$ hence proved!

6 0

3 years ago

Please help!! :) Will give brainliest!

stich3 [128]

Answer is A
144 + 12y + y^2

if perfect square should be
144 + 24y + y^2

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3 years ago

How many possibilities are there if you are creating a 4-digit password using the digits 0 through 9? You may repeat numbers.

Ksju [112]

<span>Each number had 10 possibilities. So to calculate the number of possibilities for two numbers multiply 10 by 10. This means that for all 4 digits the number of possible permutations is 10x10x10x10 or 10 to the power 4. This equals to 10,000 therefore D.

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3 years ago

An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i

Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = $\sqrt{(15-x)^2+1^2}$

The total time, 't', is given as follows;

$t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}$

The minimum value of 't' is found by differentiating with an online tool, as follows;

$\dfrac{dt}{dx} = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} = \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }$

At the maximum/minimum point, we have;

$\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0$

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

$t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89$

Therefore, the distance to run, x ≈ 14.96 mile

6 0

3 years ago