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3 years ago

The graph of a linear system is shown.

Mathematics

1 answer:

kondaur [170]3 years ago

7 0

The solutions to a linear system will always be the interception of the graphs.

In this case, the solution is $(2,7)$

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-2 1/3 - (-5) = ? can someone please help me ty!

Eddi Din [679]

Answer: 8/3

Step-by-step explanation:

5 0

3 years ago

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One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"

iVinArrow [24]

Answer:

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

$x+y+z=180^o$ -----> equation A

One angle of a triangle measures 10 degrees more than the second

$x=y+10$ ----> equation B

The measure of the third angle is twice the sum of the first two angles

$z=2(x+y)$ ---> equation C

substitute equation B in equation C

$z=2(y+10+y)$

$z=4y+20$ ----> equation D

substitute equation D and equation B in equation A

$(y+10)+y+(4y+20)=180^o$

solve for y

$6y=180-30\\6y=150\\y=25^o$

Find the value of x

$x=25+10=35^o$

Find the value of z

$z=4(25)+20=120^o$

therefore

$One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o$

5 0

3 years ago

Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (

yan [13]

The standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is y - y₁ = m(x - x₁) when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

Learn more about equations of straight lines at

brainly.com/question/13763238

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6 0

2 years ago

Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the

boyakko [2]

I-F=100(86-65)/65 - 100(80-70)/70 = 18%

Iliana's increase was 18% more than Fiona's increase.

5 0

3 years ago

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Which shows the equation below.....

sladkih [1.3K]

Option A is your answer.

Subtract 3 from both sides to get zero on the right side of the equal sign.

8 - 3 = 5.

So that becomes your constant term in the equation.

8 0

3 years ago

Read 2 more answers