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Andrew [12]
3 years ago
12

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

Mathematics
1 answer:
balandron [24]3 years ago
7 0

Answer:

k = 5

Step-by-step explanation:

The given line is y = 4x - 14.

The given point is (k, k + 1).

For this point, x = k and y = k + 1.

You substitute these equations into the line's equation to find the value of k.

(x = k)

(y = k + 1)

y = 4x - 14

(k + 1) = 4(k) - 14

Solve for k.

k + 1 = 4k - 14

Subtract k from both sides.

1 = 3k - 14

Add 14 to both sides.

15 = 3k

Divide both sides by 3.

15/3 = k

Simplify.

5 = k

And that's the answer!

Please mark as Brainliest! :)

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The ratio of pounds of vegetables to pounds of protein on the dinner plate is 5 to 2. IF
leva [86]

Answer:

10 lbs

Step-by-step explanation:

25 is to 5    as   x is to 2

25/5 = x/2

2 * 25/5 = x = 10 lbs

8 0
2 years ago
A and B are two events.
maria [59]

Answer:

0.8

Step-by-step explanation:

We can solve P(A or B) by using the following:

P(AorB)=P(A)+P(B)-P(AandB)

Since we know P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1 we obtain:

P(AorB)=0.6+0.3-0.1=0.8


4 0
3 years ago
1) 4 6/8 + 3 2/3 = ?
Colt1911 [192]
This is how you add fractions..
I have solved it step-by-step. If you understand this, you'll know how to subtract, too. 
If you don't understand, message me :)

5 0
3 years ago
I REALLY NEED HELP PLEASE
Nezavi [6.7K]

Answer:

10

Step-by-step explanation:

given

\frac{s + ( - 7)}{ - 1}

we first need to simplify the expression before we find it's value when s=-3

positive times negative=negative

so the equation becomes

\frac{s - 7}{ - 1}

substituting s=-3 into the equation.

\frac{ - 3 - 7}{ - 1}

=

\frac{ - 10}{ - 1}

=the negatives cancel out leaving

= 10

7 0
3 years ago
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

Perimeter = 2 \times (Length + Width)

Putting the values of perimeter and length to find the value of width.

48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}

So, width possible is <em>6ft.</em>

3 0
3 years ago
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