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Lilit [14]
3 years ago
13

If RT is 10 centimeters long, what is ST?

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
The answer is 6 centimeters
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Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment i
olga2289 [7]

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                    A ( -5 , 2 )              C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

                               AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

                  d = OC - OA

                  d = < 11, 0 > - < -5,2 >

                  d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

                 < x , y > = OA + t*d

                 < x , y > = < -5, 2 > + t* < 16 , - 2 >  

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

                < x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

                < x , y > = < -5 , 2 > + < 10 , -5/4 >

                < x , y > = < 5 , 3/4 >   ... Answer

4 0
3 years ago
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
ira [324]

Answer:

T(3u+2v)=(-10,29)

Step-by-step explanation:

T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.

8 0
3 years ago
Liz earns a salary of $2,000 per month, plus a commission of 8% of her sales. She wants to earn at least $2,500 this month. Ente
andrezito [222]

Answer: $2000 + 0.08s ≥ $2500

Step-by-step explanation:

The expression that will be used to calculate the earnings of Liz will be:

= b + (c × s)

Where:

b = base salary = $2,000

c = commission rate = 8% = 8/100 = 0.08

s = the sales that the commission rate will be applied against.

The inequality to find amounts of sales that will meet Liz goal will be:

= b + (c × s)

= $2000 + (0.08 × s) ≥ $2500

= $2000 + 0.08s ≥ $2500

6 0
3 years ago
Plz answer both questions if works will give brainliest BTW start from the 1st one at the top
Nadya [2.5K]
Answer 1: 8

Answer 2: C
4 0
2 years ago
Read 2 more answers
3. There are 6 places set at each table for the big outdoor party.
Ainat [17]
You do 6x4 , The amount of legs on the chairs is irrelevant information, but your answer will be 24 people
24 people
8 0
3 years ago
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