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zhuklara [117]
3 years ago
4

Point (k, -2) lies on the line whose equation is x-3 y=7. What is the value of k?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

k =1

Step-by-step explanation:

x-3y = 7

Let y = -2  since we have the point (k, -2)

x -3(-2) =7

x+6 =7

Subtract 6 from each side

x+6-6=7-6

x =1

The point is (1,-2)

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Which of the following expressions is correctly written in scientific notation?
valentinak56 [21]

Answer: D is correctly written in scientific notation.

Step-by-step explanation:

The base has to be between 1 and 10.

A has a base of 16.4 which is greater than 9.

B is not even in scientific because the base it being raise to an exponent

C has 0.71 as base which is less that.

3 0
3 years ago
Find the midpoint of the segment with the given endpoints. ​(9​,9​) and ​(-1​,- 3​)
GenaCL600 [577]

Answer: (4, 3)

Step-by-step explanation:

The formula for coordinate of the mid point is given as :

Mid point = (\frac{x_{2}+x_{1}}{2} , \frac{y_{2}+y_{1}}{2} )

x_{1} = 9

x_{2} = -1

y_{1} = 9

y_{2} = -3

Substituting the values into the formula , we have :

Mid-point = (\frac{-1+9}{2} , \frac{-3+9}{2} )

Mid-point = ( \frac{8}{2} , \frac{6}{2} )

Mid - point = ( 4 , 3)

8 0
3 years ago
ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Delicious77 [7]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

5 0
3 years ago
For what value of x does the function y=2/3x+1 have the same x and y coordinate
Brut [27]

Answer:

3

Step-by-step explanation:

y=\frac{2}{3}x +1

If x is 3, then

y =\frac{2}{3}(3) +1

y=2+1

y=3

Both x and y equal 3. So, the value of x must be 3 for the function to have the same coordinate for x and y.

8 0
3 years ago
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