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3 years ago

Help me solve for 14 and 15

Mathematics

2 answers:

Mashutka [201]3 years ago

7 0

Answer: 14) 12 and 15) -27.

Step-by-step explanation:

x - 10 = 2

x= 2+10

x=12

-16 = x +11

x = -16-11

x= -27

olga2289 [7]3 years ago

4 0

Hey!

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Question 14:

x - 10 = 2

x + (-10) = 2

x + (-10) + 10 = 2 + 10

x = 12

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Question 15:

-16 = x + 11

-16 - 11 = x + 11 - 11

-27 = x

--------------------------------

Hope this helped, good luck!

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Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen

Rudik [331]

Answer:

24hours

Step-by-step explanation:

let Evan be x, Tyler=x-12,equate;1/x+1/(x-12)=1/8,to get x=24 or 4.The correct value of x=24 because if you take x=4 means that Tyler=-8hours which is impossible

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3 years ago

Y= sqrt(8 x^3 as it reaches the point (2, 4, the y-coordinate is increasing at a rate of 5 cm/s. how fast is the x-coordinate of

AysviL [449]

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3 years ago

Type a digit that makes this statement true. 81,583,74_ is divisible by 6.

grigory [225]

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7 0

3 years ago

Read 2 more answers

Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 = b

The equation is y = (1/2)x + - 3.5

See the attached image.

7 0

10 months ago

A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra

Ksivusya [100]

The Quadrilateral is JKLM,

let $M_{JK}, M_{KL}, M_{LM}, M_{JM},$ be the midpoints of JK, KL, LM and JM respectively.

---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),

the coordinates of the midpoint of the line segment PQ are given by the formula:

$M_{PQ}=( \frac{m+k}{2} ,
\frac{n+l}{2})$ ,

-------------------------------------------------------------------------------------------------

thus the coordinates of points $M_{JK}, M_{KL}, M_{LM}, M_{JM},$

are as follows:

$M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)$

------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

$|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}
}$

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:

$|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5$

$|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39$

Thus the total distance of the paths joining the opposite entrances is

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)

Answer: 104 m

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3 years ago