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2 years ago

Through (5,2) slope=1

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

4 0

Answer:

y = x - 3

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1)

$y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\$

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If Colorado Springs, Colorado, has 1.4 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea

Rom4ik [11]

Days in boston=x
days in colorado=1.4x
boston+colorado=2.4x
475=2.4x
475/2.4=2.4x/2.4
198=x
198*1.4=277
days in boston=198
days in colorado=277
198+277=475

5 0

2 years ago

Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle

taurus [48]

Answer:

AC = 10sin(40°)

Explanation:

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

These functions are as follows:

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

Now, in the given diagram:

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

Based on these givens, we will use the sin(θ) function

Therefore:

$sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)$

5 0

3 years ago

Read 2 more answers

Please help cuz i ok with math but not this type of math so PLEASE HELP ME!

Korolek [52]

Answer:

y=1x-4

Step-by-step explanation:

The original is

y=mx+b

m is the slope and b is the y intercept

8 0

3 years ago

Read 2 more answers

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

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1 year ago

Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma

sasho [114]

Answer:

Step-by-step explanation:

Given that:

sin2xcos x + cos2xsin x = -1

Recall that;

SInAcosB + cosASinB = SIn (A+B)

SIn (2x +x) = -1

Sin (3x) = -1

$x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ]$

$x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}$

$x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}$

5 0

2 years ago