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3 years ago

Solve the inequality: -1+4y < 31

2 answers:

6 0

Let's solve your inequality step-by-step.−1+4y<31Step 1: Simplify both sides of the inequality.4y−1<31Step 2: Add 1 to both sides.4y−1+1<31+14y<32Step 3: Divide both sides by 4.4y4<324y<8

Andrews [41]3 years ago

3 0

-1 +4y < 31

add 1 to each side:

4y < 32

divide both sides by 4

y<32/4

y<8

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Find the value of x in the Diagram Below.

zhannawk [14.2K]

Answer: x = 12

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3 years ago

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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

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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

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we have

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$point(2,1)$

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)

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

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

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

$d=2.2\ miles$

6 0

3 years ago

Someone plzzz help! I need the answers and show my work..

pochemuha

I need a better picture then I could answer

7 0

3 years ago

Read 2 more answers

A road construction crew is resurfacing the highway between point d and e. The distance between point d and e is 93 miles of roa

Ulleksa [173]

93 - 35 = 58
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it will take them 20 more days.

3 0

3 years ago