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3 years ago

Y =

Mathematics

1 answer:

Liula [17]3 years ago

5 0

Answer:

The slope is 1/8 and the y intercept is 3

Step-by-step explanation:

y = 1/8 x +3

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 1/8 and the y intercept is 3

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What is y= (5x+7) (-2x+3) in standard form

nikitadnepr [17]

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

3 0

3 years ago

Express the trigonometric ratios sinA in term of cosA

MariettaO [177]

Answer:

sinA = ± $\sqrt{1-cos^2A}$

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract cos²A from both sides )

sin²A = 1 - cos²A ( take the square root of both sides )

sinA = ± $\sqrt{1-cos^2A}$

8 0

3 years ago

What is the center and radius of the circle shown by the equation? (x+8)2+(y+3)2=6.25

777dan777 [17]

The center is (-8, -3)

the radius is 2.5

hope that helps, God bless!

4 0

3 years ago

PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}$

$d=\sqrt{(0.7)^{2}+(-2.1)^{2}}$

$d=2.2\ miles$

6 0

3 years ago

What is the equation of the parabola, in vertex form, with focus at (1,-4) and<br> directrix x= 3?

lilavasa [31]

Answer:

Step-by-step explanation:

1) according to the definition of parabola d(focus)=f(directrix),

2) then

$d(focus)=\sqrt{(x-1)^2+(y+4)^2} \ and \ d(directrix)=|x-3|;$

$\sqrt{(x-1)^2+(y+4)^2} =|x-3|;$

3) after evoluation the equation:

(y+4)²=-4x+8 or (y+4)²= -4(x-2);

4) correct answer is D.

3 0

3 years ago