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3 years ago

PLEASE HELP VERY URGENT

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Answer:

B) $(2, 1)$

Step-by-step explanation:

−x + 3 = 2x - 3

-2x - 2x

___________

−3x + 3 = −3

- 3 - 3

_________

−6 = −3x

__ ___

−3 −3

$2 = x$ [Plug this back into both equations above to get the y-coordinate of 1]; $1 = y$

I am joyous to assist you anytime.

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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

Struggling struggling

Natasha2012 [34]

Answer:

Mixed fraction: 1 and 3/4

Improper fraction: 7/4

Step-by-step explanation:

Mixed: You have 1 whole circle and only three out of four pieces of an other circle

Improper: Add the colored pieces of the two circles together but because the circles are divided into fourths, the number four is the denominator or bottom number. Therefore, you get seven over four(7/4) as the improper fraction

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3 years ago

What is the equation in the point slope form for a line that goes through 7,5 and has a slope of -4,-1

Nuetrik [128]

Answer:

The equation of the line would be y = -4x + 33

Step-by-step explanation:

To find this, we use point-slope form with the point given and the slope given. Then we solve for y.

y - y1 = m(x - x1)

y - 5 = -4(x - 7)

y - 5 = -4x + 28

y = -4x + 33

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3 years ago

This shape is made up if the following

Alex

Answer:

a. 100.48

b. 1,004.8

c. 1,105.28

Step-by-step explanation:

a. a cone with volume = ⅓×3.14×4²×6=

100.48

b. a cylinder with volume = 3.14×4²×20=

1,004.8

c. total volume = 100.48+1,004.8

= 1,105.28

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3 years ago

Warm-Up

seraphim [82]

Answer:

$y=2\frac{1}{6}$ or $\frac{13}{6}$

Step-by-step explanation:

We know that $x$ and $y$ are directly proportional. Therefore, using the given information, we can set up the following proportion:

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Solving for $y$ , we get:

$\frac{6.5}{12}=\frac{y}{4}$

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Hope this helps!

4 0

3 years ago