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mr Goodwill [35]
3 years ago
10

(05.02)

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula \frac{y_2-y_1}{x_2-x_1}. x_1 and y_1 represent the x and y values of one point, and x_2 and y_2 represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for x_1, 5 for y_1, 8 for x_2, and 9 for y_2 then solve:

\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1

Therefore, the slope is 1.

2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.

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zaharov [31]

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

6 0
3 years ago
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What two numbers multiply to -126 and add up to -65
Airida [17]
Xy = -126
x + y = -65

xy = -126
\frac{xy}{x} = \frac{-126}{x}
y = \frac{-126}{x}

x + y = -65
x + \frac{-126}{x} = -65
\frac{x^{2}}{x} + \frac{-126}{x} = -65
\frac{x^{2} - 126}{x} = -65
-65x = x^{2} - 126
0 = x^{2} + 65x - 126
x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}
x = \frac{-65 \± \sqrt{4225 + 504}}{2}
x = \frac{-65 \± \sqrt{4729}}{2}
x = \frac{-65 \± 68.8}{2}
x = \frac{-65 + 68.8}{2}  or  x = \frac{-65 - 68.8}{2}
x = \frac{3.8}{2}  or  x = \frac{-133.8}{2}
x = 1.9  or  x = -66.9

     x + y = -65
  1.9 + y = -65
- 1.9           - 1.9
           y = -66.9
    (x, y) = (1.9, -66.9)

or

        x + y = -65
  -66.9 + y = -65
+ 66.9        + 66.9
              y = 1.9
        (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.
3 0
3 years ago
14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
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Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

7 0
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Quadrilateral OPQR is inscribed in circle N, as shown below. What is the measure of ∠ROP?
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The answer is 41, because I just took the quiz and that was the correct answer :)
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The present age of father is thrice as old as the age of daughter 5 years ago. If 5 years hence ,the age of father will be twice
pav-90 [236]

Answer:

<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

Step-by-step explanation:

Let the present age of daughter be x

Let the present age of father be y

5 years ago;

Daughter's age = x - 5

Fathers age = y - 5

If the present age of father is thrice as old as the age of daughter 5 years ago, then;

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In 5 years time;

Daughters age = x + 5

Fathers age = y + 5

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Equate 1 and 2;

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Since y = 2x + 5

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<em>Hence the daughter's present age is 15 years</em>

<em>The fathers present age is 35 years</em>

<em></em>

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