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madam [21]
3 years ago
7

Question 17 of 25

Mathematics
1 answer:
stepan [7]3 years ago
6 0
Ok so it’s pretty much be D. kinda hard to explain but i hope it helped
You might be interested in
Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
Bogdan [553]

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0

x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0

The three points are W(0,-2), I(2,0) and L(5,k). So,

0(0-k)+2(k-(-2))+5(-2-0)=0

0+2(k+2)+5(-2)=0

2k+4-10=0

2k-6=0

Adding 6 on both sides, we get

2k=6

k=\dfrac{6}{2}

k=3

Therefore, the correct option is E.

5 0
3 years ago
Two cars start together in the same direction from the same place. The first goes with a uniform speed of 10 km/h. The second go
Inga [223]

Let the second car meets the first car after n hours.

Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.

So, Distance travelled by second car = 8 + 8.5 + 9

..... 8+(n-1) 0.5.....(1)

eqn. (1) sum of n terms Of A.P with first term 8

and common difference 0.5.

Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .

Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)

From equation (2) we get, n= 9

Hence, Both the cars will meet after 9 hours.

Hope it helps!

7 0
3 years ago
Pls help me with math
Marrrta [24]

Answer:

Like terms are those terms whose variables and powers are same. For question no. 1

  • 4p, 2p, p
  • m^2 , 3m^2
  • 5ac, 7ca
  • 5v , 9v and 2wv , vw
  • 6pq, 2qp, 3pq
  • 3d, 2d
  • 4mn, 2nm
  • 4x^2y , x^2y
  • 5ba, ab

Now for question no. 2

The like terms from the given term is C. 3ab, 2ba

If u have any confusion then u can ask hope it will help you

3 0
3 years ago
X + (x − 14) = 40. little confused
ikadub [295]

Answer:

27is answer

Step-by-step explanation:

x+ x - 14 = 40

or, 2x = 40+ 14

or, 2x = 54

or, x = <u>5</u><u>4</u>

2

or, x= 27

7 0
3 years ago
On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in 2 . Han says that the actual area of the restauran
snow_lady [41]

Answer:

375

Step-by-step explanation:

<h2>HOPE THIS HELPS </h2>
4 0
3 years ago
Read 2 more answers
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