If LN = 12x + 16, what is the length of Line segment L N in units?

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

Answer:

-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)

-1 is the y-intercept. This is where the line hits the y-axis

start by plotting the y-intercept (0,-1)

then move down one unit, and right two units, and plot another point.

this is the line y=-1/2x-1

Step-by-step explanation:

Step-by-step explanation:

hope it helps

............

Answer:

709,067

Step-by-step explanation:

add them together from greatest to least

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Step-by-step explanation:

b2 =5

.....................

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

Answer:

5

Step-by-step explanation:

13^2=169

12^2=144

169-144=25

Root 25 is 5

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

2/3

Step-by-step explanation:

Step-by-step explanation:

they need a car to drive duhhhhh

Answer:

0.36 hours

Step-by-step explanation:

Divide 4.5 with 12.5 mph.

[tex]6=\frac{m}{8}\\x=48[/tex]

Answer:

4

Step-by-step explanation:

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

Answer:

4 + 6m = 70

Step-by-step explanation:

4 is the basket

6m is the total weight of mandarins

70 is total weight

Answer
A is the answer

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

m<1:51, m<2:39, m<3:90

Answer:

Exponential

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

its 50

Step-by-step explanation:

Answer: what of the following

Step-by-step explanation:

Answer:

is it multiple choice

Step-by-step explanation: