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rosijanka [135]
3 years ago
10

Please help I need help ASAP!!! Whoever helps gets marked as Brainliest!

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

Plan C=12 weeks for 30 miles walked.

Step-by-step explanation:

This is a constant rate of change...the number of miles each week increased by 10 each time; the number of weeks was divided each time by 2. To find Plan C, divide 24/2, which is 12.

Hope this helps! Have a great day C:

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Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
2 years ago
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A graph that it’s rule is y= 5x+7
alexandr1967 [171]

Answer:

I like cheese

Step-by-step explanation:Milk and chees

6 0
3 years ago
If 40 percent of a number is 56 what was the original number ?
Firdavs [7]
Think of it like this: 
of = multiplication of the equation 
is= equals
and whatever you are looking for is your variable 

so.... 
.40 times X = 56
6 0
3 years ago
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The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when
Natalka [10]

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

5 0
3 years ago
Jack drove 325 miles in 5 hours.
Andrej [43]

Answer:

Jack drove 65 miles per hour

It will take Jack 8 hours to drive 520 miles

Step-by-step explanation:

325 miles divided by 5 hours = 65 miles/hour

520 miles divided by 65 miles/hour = 8 hours

4 0
3 years ago
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