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3 years ago

The valley was at least 4 feet below sea level. Inequality? PLEASE HELP DUE TODAY!!!!

1 answer:

3 0

If you are given the valley of at least 4 feet below sea level, and then let us assume that x is the distance of the valley, then the inequality is x < 4.

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A line is perpendicular to y = -x + 1

frozen [14]

Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]

Step-by-step explanation:

step1:-

The standard form of slope - intercept form y=m x+c

Here m is called slope of the given line

C is called the y- intercept of the given line

Given equation of the straight line y=-x+1

comparing the slope - intercept form y=m x+c

here m= -1 and c=1

step2:-

The equation of the perpendicular line is

$y-{[y_{1}$ } =\frac{-1}{m} (x-x_{1} )[/tex]

substitute m = -1 and c =1 values in equation

$y-1 =\frac{-1}{-1} (x-(-5 )$

$y-1 ={1} (x-(-5 )$

$y=1+x+5\\y=x+6$

step3:- The equation of the perpendicular line intersects the point (-5,1) is

y=x+6[/tex]

conclusion:-

The equation of the perpendicular line is

y=x+6[/tex]

4 0

3 years ago

Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

5 0

3 years ago

Graph the line by plotting y=x+8

Zarrin [17]

The equation y = x + 8 uses the slope intercept form

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case

y = 1x + 8

m = 1

y = x + 8

b = 8 OR y-intercept of this line is (0, 8)

You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)

The graph should look like the one in the image below

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Help me please? c: I only have 4 questions left and I'm a bit stuck

prohojiy [21]

1.168 rounded off to nearest thousands = 1168

6 0

3 years ago

If the graphs of a system of linear equations are the same line, how many solutions does the system have?

inn [45]

Answer:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers