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Nata [24]
3 years ago
13

Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.

Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1)    ;  m : the slope   when : x_1 = -3   and  y_1  = 7

- 2 ×m = - 1  because this line is perpendicular to the line y= -2x-5 when the slope is  -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)  

elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

The desired equation is

y = (1/2)x + 17/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal of -2:  m = 1/2.

Start with y = mx + b.

Substituting 7 for y, 1/2 for m and -3 for x, we get:

                7 = (1/2)(-3) + b.  Then 7 = -3/2 + b, so that b = 17/2.

The desired equation is

y = (1/2)x + 17/2

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Which of the following functions is graphed below?
kompoz [17]

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A

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vertex is (-3,-4)

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6 0
3 years ago
A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?
puteri [66]

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

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8 0
2 years ago
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Add. Write your answer in scientific notation. (8×106)+(7.92×109)
Anettt [7]

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

8 × 10⁶ and 7.92 × 10⁹

The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be

⇒ 8 × 10⁶ + 7.92 × 10⁹

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⇒ 7.928 × 10⁹

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

More about the Algebra link is given below.

brainly.com/question/953809

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5 0
1 year ago
Can some 1 help me with this q​
HACTEHA [7]
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To find this answer all you have to do is multiply fractions. Multiply the numerator by the numerator and the denominator by the denominator.

4 x 2 = 8 5 x 9 = 45

This gives you 8/45.
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3 years ago
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