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makvit [3.9K]
3 years ago
12

Determine whether the lines l1 and l2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-2 + 4t

)i + (2 + t)j l2: r(s) = (3 + 3s)i + (2 - 12s)j
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Over which interval(s) is the function decreasing?

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Which transformation represents a reflection over the y = x line?
dmitriy555 [2]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

4 0
3 years ago
Give the slope of the graph and the unit rate.
klemol [59]

I need help with MY MATH jejehee

6 0
3 years ago
In the diagram the length of segment TR can be represented by 5x-4.
masya89 [10]

Answer: The correct option is D, i.e., 15 units.

Explanation:

It is given that the  length of segment TR can be represented by 5x-4.

From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,

5x-4=2x+5

3x=9

x=3

The value of x is 3, so the length of side RV is,

2x+5=2(3)+5=11

In triangle TRS and angle VRS,

TR=VR

\angle TRS=\angle VRS=90^{\circ}

RS=RS (common side)

By SAS rule of congruence triangle,

\triangle TRS\cong\triangle VRS

Therefore the side TS and VS are congruent sides.

From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

VS=6x-3=6(3)-3=15

Hence, the length of side VS is 15 units and option D is correct.

4 0
3 years ago
Read 2 more answers
Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?​
quester [9]

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

3 0
2 years ago
A.Solve for x. Then, using that information, find the measure of
Vedmedyk [2.9K]

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

8 0
2 years ago
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