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fgiga [73]
2 years ago
13

Type an equation for the line

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
4 0

Answer:

y=-\frac{2}{3}x+1

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points (x_1, y_1) and (x_2,y_2) is modeled by,

m = \frac{y_2-y_1}{x_2-x_1}

If this line passes through (-3, 3) and (3, -1),

m = \frac{3+1}{-3-3}

m = -\frac{4}{6}

   = -\frac{2}{3}

And 'b' = 1

Equation of this line will be,

y=-\frac{2}{3}x+1

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For the graph shown, select the statement that best represents the given system of equations. Number graph ranging from negative
Bumek [7]
This system of equations is consistent and independent, because there is only one solution. the answer is C
7 0
3 years ago
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After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50. What was the price before the tip?
CaHeK987 [17]

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

<em>Formula: Higher number - Lower number ÷ original number × 100</em>

<em>Solve: </em>

<em>87.50 - 65.62 = 21.88</em>

<em>21.88 ÷ 87.50=0.25005714285</em>

<em>0.25005714285 × 100 = 25.0057142857</em>

<em>Round - 25%</em>

 

<u><em>~lenvy~</em></u>

3 0
2 years ago
5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow
Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0
2 years ago
I need help with this question: Label: Coefficients, variables, terms, and constant. −2x2 + 9x − 3
iVinArrow [24]

Answer:

  coefficients: {-2, +9, -3}

  variables: {x}

  terms: {-2x^2, 9x, -3}

  constant: {-3}

Step-by-step explanation:

It is difficult to "label" here, so we'll list each, separated by commas.

<u>Coefficients</u>

Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.

  coefficients: {-2, +9, -3}

<u>Variables</u>

A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.

  variables: {x}

<u>Terms</u>

A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.

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8 0
3 years ago
Need help doing this, please show steps. :)
Pavel [41]

Answer:

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tan(angle) = opposite/adjacent

tan(35) = x/100,   x is just the unknown height of the tree.

multiply 100 on both side to get x by itself.

x = 100tan(35)

x = 70.02

add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).

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