3 years ago

I new help with number 1 and number 2

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

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If the point (5, k) lies on the line represented by the equation 2x + y = 9, the value of k is

Paladinen [302]

Answer:

Step-by-step explanation:

We have the point (5, k) and the equation 2x + y = 9.

Put the coordinates of the point ot the equation:

x = 5, y = k

2(5) + k = 9

10 + k = 9 <em>subtract 10 from both sides</em>

10 - 10 + k = 9 - 10

k = -1

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3 years ago

. A straight line passes through the point (-1,2) and its distance from the origin is

Ulleksa [173]

Answer:

y = -1/2x + 3/2

Step-by-step explanation:

(2-0)/(-1-0) = -1/2

2 = -1/2(-1) + b

2 = 1/2 + b

b = 3/2

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2 years ago

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7 and a number equals 21

torisob [31]

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

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2 years ago

When a number is added to six times its square, the result is twelve. Find the number.

7nadin3 [17]

Let's represent our number as x.
x is being added to 6 * x², and it equals 12
$x + 6x^{2}=12\\6x^{2}+x-12=0$
Factor:
$6x^{2}+x-12=0\\(2x+3)(3x-4)=0$
Solve for x:
$(2x+3)=0\\2x=-3\\x=\frac{-3}{2}\\\\(3x-4)=0\\3x=4\\x=\frac{4}{3}$

Therefore, x = -3/2 and 4/3.

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2 years ago

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What is the inverse of the function h(x) = 5/2x + 4

Kryger [21]

The inverse is h squared -1 (x) = 2/5x -8/5

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