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Ierofanga [76]
2 years ago
7

Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

11.4

Step-by-step explanation:

l²+w²=d²

81+49=130

√ 130

11.40175425099138

11.4

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Write an equation of a line in slope-intercept form given slope= 6 and passes through the point (-3,7).
Jobisdone [24]

Use formula y = mx+ b  Y is your point y in the pair: 7 M is slope : 6 X is your x in the pairs : -3   7 = 6 (-3) + b 7 = -18 + b 7+ 18 = b  25= b   So , it will be  Y= 6x + 25

8 0
2 years ago
The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l
Anuta_ua [19.1K]
Y is bmi
x is amount of antioxidant in cups


so when x=0 that is when 0 cups of antioxydants are consumed, that is y intercept, that means a person who consumes 0 cups starts at 26 bmi

slope is the amount that the bmi decreases for every cup of antioxydants consumed
7 0
2 years ago
Use the pattern for (a+b)^5 to write the fourth term of (w-4z)^5
Alex Ar [27]
The fourth term of (a+b)^5 is 10a^2b^3.

For a=w, b=-4z, this is
.. 10*(w)^2*(-4z)^3
.. = -640w^2*z^3
8 0
3 years ago
Find the vertex of the parabola formed by the following quadratic function: y = 3x^2 – 6x + 2
storchak [24]
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...

y=3x^2-6x+2  subtract 2 from both sides

y-2=3x^2-6x  divide both sides by 3

(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case:  (-2/2)^2=1 so

(y-2)/3+1=x^2-2x+1  now the right side is a perfect square

(y-2+3)/3=(x-1)^2

(y+1)/3=(x-1)^2  multiply both sides by 3

y+1=3(x-1)^2  subtract 1 from both sides

y=3(x-1)^2-1  so the vertex is:

(1, -1)

...

Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above.  The vertex of any quadratic (parabola), ax^2+bx+c is:

x= -b/(2a),   y= (4ac-b^2)/(4a)

Then you will always be able to do a quick calculation of the vertex :)
7 0
3 years ago
Calculate the simple interest an<br>6000 for 3 years at 12%​
timurjin [86]

Answer:

$2160

Step-by-step explanation:

=PRN

6000×0.12×3

7 0
3 years ago
Read 2 more answers
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