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3 years ago

Which equation is equivalent to -2 (x+3) - 4x = 10?

Mathematics

1 answer:

just olya [345]3 years ago

4 0

Answer:

-6x -6= 10

Step-by-step explanation:

-2(x +3) -4x= 10

Expand:

-2(x) -2(3) -4x= 10

-2x -6 -4x= 10

Simplify:

-6x -6= 10

Thus, the second option is correct.

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Line segment KL is tangent to circle J at point K.

Shalnov [3]

we know that

if the line segment KL is tangent to circle J at point K

then

KL is perpendicular to KJ

the triangle KJL is a right triangle

Applying the Pythagorean Theorem

$LJ^{2} =KL^{2}+KJ^{2}$

we have

$KL=24\ units\\KJ=r\ units\\JL=(16+r)\ units$

substitute the values

$(16+r)^{2} =24^{2}+r^{2}\\256+32r+ r^{2}=576+ r^{2} \\32r=576-256 \\r= 320/32\\r=10\ units$

therefore

the answer is the option B

$10\ units$

3 0

3 years ago

Read 2 more answers

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

Because 10 lies between two consecutive perfect squares ___ and ___ square root of 10 is located between the square roots of the

dusya [7]

Answer:

wut

Step-by-step explanation:

8 0

3 years ago

Can somebody please help me with this:)

max2010maxim [7]

Answer: 4=-2x -1 and y=-1 2x

8 0

3 years ago

How do i find mean absoulute deviation

rosijanka [135]

Step-by-step explanation:

Below are an example using the data values

{ 11 , 10 , 17 , 18 }

Step 1: What is MAD?

MAD is the average distance between each data value. <MAD> is used to see variation of the data. The larger the MAD, the further apart the numbers are.(and vice versa)

Step 2: Find the mean

11 + 10 + 17 + 18 = 56

56/4 = 14

Step 3: Formula to find the Absolute Deviations or distance of the data value to the mean

Find the absolute value of the difference between each data value and the mean: | data value – mean | or I mean - data value I

Step 4: Find the Absolute Deviations

14 - 11 = 3

14 - 10 = 4

17 - 14 = 3

18 - 14 = 4

Step 5: FInd the mean of the Absolute Deviations or MAD

3 + 4 + 3 + 4= 14

14/4 = 3.5

<h3>Hope this helps!!! </h3><h3>Please mark this as brainliest!!! </h3><h3>Thank You!!! </h3><h3>:) </h3>

6 0

3 years ago