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3 years ago

Which statement is true about lines a and b?

Mathematics

1 answer:

Flura [38]3 years ago

3 0

Answer:

Step-by-step explanation:

well the are obviously not parallel perpendicular line are right angled and the intersect so they are not skew lines

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A bridge has a single lane and is 122 feet long. The weight limit for the bridge is 20 tons. Each car that might be on the bridg

gulaghasi [49]

Answer:

2.8 t ≤ 12 tons , 16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

Step-by-step explanation:

The number of trucks on the bridge = t

Number of cars = 10

Total length of Bridge = 122 ft, and weight = 20 tons

Total length of Car = 7.4 ft, and weight = 1.2 tons

Total length of truck = 16 ft, and weight = 2.8 tons

Now, there are 10 cars on the bridge.

So, total length of bridge covered = 7.4 x 10 = 74 feet

Hence, the available length of bridge for trucks = 122 - 74 = 48 ft

Also, total weight of bridge covered = 1.2 x 10 = 12 tons

Hence, the available weight of bridge for trucks = 20 - 12 = 8 tons

Hence, according to the question:

2.8 t ≤ 12 tons and

16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

6 0

3 years ago

Answer asap !!!!!!

GaryK [48]

Value of r is -4

Step-by-step explanation:

We are given points (-1,-6) and (0,r) on line and slope of line is -2. We need to find value of r.

Using slope formula when two points are given:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Where $x_1=-1,\,\,y_1=-6,\,\,x_2=0,\,\,y_2=r$

Putting values:

$2=\frac{r-(-6)}{0-(-1)} \\2=\frac{r+6}{0+1} \\2=\frac{r+6}{1} \\2=r+6$

Adding -6 on both sides:

$2-6=r\\-4=r$

So, Value of r is -4

Keywords: Slope of line

Learn more about Slope of line at:

#learnwithBrainly

4 0

3 years ago

Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,),

xz_007 [3.2K]

Answer:

C. T is not one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

$T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)$

Required

Determine if it is linear or onto

Represent the above as a matrix.

$T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]$

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

8 0

3 years ago

An item costs 340 before tax, and the sales tax is 20.40.

Sonbull [250]

Answer:

Step-by-step explanation:

To find out the sales tax rate, we divide the sales tax by the cost of the item. This will give us what percent of the cost of the item the sales tax is equal to.

So, 20.4 divided by 340 = 0.06

To convert to percent, we multiply 0.06 by 100=6. Therefore, the sales tax rate is 6%.

Check:

340 times 0.06 (the sales tax rate) is 20.4 (the sales tax).

8 0

3 years ago

I really need help please and thank you

loris [4]

Answer:

15 and 20

Step-by-step explanation:

7 0

3 years ago

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