Point L is on line segment KM. Given LM = 3x + 3,
KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.

Answer: KM =

Answer:

11.4

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

1. [tex]d=\sqrt{(-4-5)^2+(-3-4)^2}[/tex]

2. [tex]d=\sqrt{(-9)^2+(-7)^2}[/tex]

3. [tex]d=\sqrt{81+49}[/tex]

4. [tex]d=\sqrt{130}[/tex]

5. [tex]d=11.4017[/tex]

6. [tex]d=11.4[/tex]

Answer:

               [tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]

Step-by-step explanation:

[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]

Answer:

a). 240 miles (Approx)

b). Trip can't be covered in 3 hours with a constant speed = 70 miles pr hour

Step-by-step explanation:

a). As the scale has been given at the bottom. Length of the scale represents the distance between two points.

  Now by measuring the distance between these stations, approximate distance between Amarillo and Oklahoma = 4(length of the scale)

  = 4×60

  = 240 miles.

b). Driving at a constant speed = 70 miles per hour

   Distance covered in 3 hours = 70 × 3

                                                   = 210 miles

Therefore, distance of 240 miles between these stations can't be covered with the driving speed 70 miles per hour in 3 hours.

Answer:

A=a2/ a squared

Answer:

g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive

Answer:

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

Step-by-step explanation:

2(w+2w+6)=228 feet

2w+4w+12=228

6w=228-12

6w=216

w=36

So, 2w+6=78

It’s 36 by 78 tennis court

width = 36 ft.

length = 78 ft.

The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.

To find the dimensions of the tennis court, we can set up a system of equations based on the given information:

Equation for the perimeter:

The perimeter of a rectangle is given by the formula:

P = 2(length + width).

In this case,

228 = 2(l + w)

Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:

w = l

To solve the system of equations:

Substitute the value of l from the second equation into the first equation:

[tex]228 = 2((2w + 6) + w)[/tex]

Simplifying the equation:

[tex]228 = 2(3w + 6)[/tex]

Divide by 2 on both sides

[tex]114 = 3w + 6[/tex]

Subtract by 6 on both sides

[tex]108 = 3w[/tex]

Divide by 3 on both sides

[tex]w = 36[/tex]

Substituting the value of w back into the second equation:

[tex]l = 36[/tex]

Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.

Learn more about solving equations here:

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Answer:

13.8 oz

14.15 oz

14.2 oz

Step-by-step explanation:

trust me

Answer:

B, C, D

Step-by-step explanation:

Answer:

=24x

Step-by-step explanation:

X×(-6)×(-4)=24

two negatives cancel out and turn the 24 to a positive number

6×4=24

Answer: a < -3

Step-by-step explanation:

-2a > 6    Divide both sides by -2 and remember if you divide both sides  of an inequality by a negative number the sign switches.

-2a > 6  

a < -3

Answer:

a < -3

Step-by-step explanation:

It less than -3

Step-by-step explanation:

5m³ + 2m - 7m³ - 8m

= -2m³ -6m

= -2m(m² + 3)

Answer:

Independent = time intervals

Dependant = how far the leaves travel

Step-by-step explanation:

independent = what you change

dependent = what you measure

Answer

a tape measure

Step-by-step explanation:

Answer:

a = 2, b = 1 and c = 10

Step-by-step explanation:

The given equation is 2x² + x + 10 = 0 ...(1)

The general form of a quadratic equation is given by :

ax²+bx+c=0 ...(2)

We need to find the values of a,b and c in the given equation.

Comparing equation (1) and (2),

a = 2, b = 1 and c = 10

Answer:

[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]

[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle = w + 3

Perimeter of a rectangle = 28 inches

To find : dimensions of the rectangle ( length and width )

Finding the width of a rectangle ( w )

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]

Width of a rectangle = 5.5 inches

Now, replacing / substituting the value of w in order to find the length of a rectangle

[tex] \sf{ length = 3 + w}[/tex]

[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]

[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]

Length of a rectangle = 8.5 inches

Hope I helped!

Best regards! :D

Answer:

Any place-value position is 10 times greater than the position to its right and / of the position to its left.

Answer:

The middle value of the data set is called/labled the median

Step-by-step explanation:

if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median

hope it helps:)

Also, just look at the number in the middle of the data set to figure out the median

Answer:

The second one

Step-by-step explanation:

Step-by-step explanation:

There are 7 fruits for every 4 vegetables.

If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.

=> 4 * 4 = 16 vegetables.

Hence there are 16 vegetables.

Answer:

6

Step-by-step explanation:

M=2*2*3*5*5=300

N=2*2*2*3*3*7=504

Common factors between the two numbers are 2 and 3

The GCF(greatest common factor):

2×3 = 6

To see if it is true:

300/6 = 50

504/6 = 84

6 is the answer to the question.

Answer:

A)0.004

If you do the math you should get this answer

thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage

Answer:

  x is in (0, 17)

Step-by-step explanation:

The compound inequality is ...

  0 < x < 17

The "equal to" case is not included on either end, so round brackets are used:

  (0, 17)

Answer:

1480

Step-by-step explanation:

60x15=900

24x5=120

there is no mention of qweikeme having any kobo

Answer:

99.73%

Step-by-step explanation:

If you have a calculator with distribution functions, this problem boils down to using a single command:

norm(70.8, 85.2, 78, 2.4) = 0.9973

This tells us that 99.73% of the scores are in the 70.8-85.2 range.

Answer:

t= 12.433

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4w( {w}^{2} - 9})[/tex]

Distribute -4w through the parentheses

[tex] \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}[/tex]

Hope I helped!

Best regards! :D

The standard form of the polynomial -4w(w²-9) will be -4w³+36w.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.

The given expression can be converted to the standard form as below,

P = -4w(w²-9)

P = ( -4w) x (w²) + ( 4 x 9w)

P = -4w²+36w

Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.

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Answer:

B)Multiply the input by 2 to get the output

Step-by-step explanation:

5x2=10

10x2=20

15x2=30

Answer:

[tex]f(-7)=12[/tex]

Step-by-step explanation:

[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]

Hope this helps.