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3 years ago

Write an

Mathematics

1 answer:

Helga [31]3 years ago

6 0

Answer:

Since the Line is Perpendicular

m.m'=-1

The line

y=x+8

Comparing with

Y=mx + C

m=1

m.m'=-1

m'=-1/m = -1/1 = -1.

y-y' = m'(x-x')

The point it passes is (-7,8)

y-8= -1(x--7)

y-8=-1(x+7)

y-8 = -x - 7

y + x -1 = 0.

or In Slope intercept Form

Just Make y the subject

y= -x + 1 ..... This is your answer.

Hope this helps!!!

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Towers A and B are located 10 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots th

steposvetlana [31]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$42^o+64^o+C=180^o$

$C=180^o-106^o=74^o$

step 2

Find the measure of a

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}$

solve for a

$a=\frac{10}{sin(74^o)}sin(42^o)$

$a=7.0\ mi$

6 0

4 years ago

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The geographic areas of California and the U.S. are 1.637×10^5 and 3.794x10^6 sq. mi., respectively. California’s population (as

olya-2409 [2.1K]

2x + 6 = 4x/2 + 12/2

To solve this, we need to transpose like terms to the same side.

2x - 4x/2 = 12/2 - 6

2x - 2x = 6 - 6

0 = 0

Since both sides are zero, it means that the equation has infinite number of solutions.

Step-by-step explanation:

8 0

3 years ago

The graph of a line passes through the two points (-2,1) and (2,1)

Vinil7 [7]

Answer: if you graph these points, you'll see that the line is horizontal, so the slope is zero. It will cross the y axis (y intercept) at y=1.

Step-by-step explanation:

Slope = y2-y1/x2-x1, so in this example:

m = 1-1/it doesn't matter because the answer will be zero!!

Now for slope intercept form:

y = mx + b

y = 0x + b; take one of your points and plug it in:

1= 0(2)+ b

1=0 + b

1=b

So your equation is:

y= 0(x) + 1

y=1

8 0

3 years ago

The equation in standard form for the circle with radius 10 centered at the origin?

fenix001 [56]

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The standard form equation for a circle is:

(x – h)^2 + (y – k)^2 = r^2

Where h is the x coordinate of the center point and k is the y coordinate of the center point. Since the center point is (0,0), this simplifies to:

x^2 + y^2 = r^2

Since the radius is 10, this simplifies to:

x^2 + y^2 = 100

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3 years ago

-3<2x+3< or equal to 5

Aliun [14]

Answer:

Step-by-step explanation:

-3 < 2x + 3 <= 5

-6 < 2x <= 2

-3 < x <= 1

such a condition is an "and" condition. both parts need to be fulfilled.

-3 < x and x <= 1

if you are still not seeing it :

-3 < x is the same as x > -3

now you see that B is the right answer.

x > -3 and x <= 1

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3 years ago

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