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3 years ago

What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

Answer:

(y-(-3))=4(x-(-1))

Step-by-step explanation:

formula for point slope form is:

y-y1=m(x-x1)

just plug in numbers from the point (-1, -3) for x1 and y1. The slope 4, would plug into m.

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

4 0

3 years ago

What is the equation of the line that goes through the points (5, 11) and (7,21)?

iragen [17]

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

y₁

Second point coordinates

x₂

y₂

Result

Slope (m)

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

5 0

3 years ago

Lisa family drove 830.76 miles to visit her grandpaerents.Lisa calculated that they used 30.1 gallons og gas .how many miles per

Irina-Kira [14]

830.76/30.1=27.6 miles

7 0

3 years ago

What is the answer to this question?<br> I am confused.

olga nikolaevna [1]

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

5 0

3 years ago

3<6c+13<5 (Enter your answer in INTERVAL notation, using U to indicate a union of intervals; or enter DNE if no solution e

laiz [17]

Answer:

(-5/3, -4/3)

Step-by-step explanation:

3 < 6c +13 < 5 . . . . given

-10 < 6c < -8 . . . . . subtract 13

-10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

(-5/3, -4/3)

8 0

3 years ago