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2 years ago

What is the slope of the line shown in the graph? (4 points)

Mathematics

1 answer:

Korvikt [17]2 years ago

5 0

Answer:

a. or $\frac{3}{-2}$

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

$\frac{2-(-1)}{-3-(-1)}$

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

$\frac{3}{-2}$

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A 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St

ohaa [14]

Answer:

41.802 feet

Step-by-step explanation:

Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.

We can visualize a triangle formed by the three streets One side is 92 feet.

Angle opposite 92 feet = $180-68-34 = 78$

Let x be length of Cove st and y length of Mateo st.

Using sine angle for triangles,

$\frac{92}{sin 78} =\frac{x}{sin 34} =\frac{y}{sin 68}$

Simplify to get

x=52.595

y=87.207

Distance saved= $x+y-92\\= 139.802-92\\=41.802$

7 0

3 years ago

Read 2 more answers

• Since January 1980, the population, P, of the city of Brownville has increased closely modeling the

igomit [66]

Answer:

B) The population is increasing by 102.2% each year.

A) 720,500 represents the initial amount of people in January 1980 and 1.022 represents the increase factor that multiplies to the amount.

Step-by-step explanation:

1.022 times 100 equals 102.2% (a number in the decimals place times 100 give you the percent).

6 0

3 years ago

For the equation y=5 + 6x, what does y equal when x is 4? Will mark brainliest

emmasim [6.3K]

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

8 0

3 years ago

Read 2 more answers

A loan company charges $30 interest <br />for a one month loan of $500. Find the annual interest they are charging

xz_007 [3.2K]

Answer:

$360

Step-by-step explanation:

If the company charges $30 for $500 in one month.

The interest they will be changing for a year = 30*12 = $360 interest.

It's just simple, multipling the the interest value by 12 to get it's annual interest value.

4 0

3 years ago

the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li

Burka [1]

Answer: The equation for line b is $y = -\frac{3}{4}x + 5$

The equation for line t is $y= \frac{4}{3} x+5$

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

3 0

3 years ago