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Naddik [55]
3 years ago
7

The length of a rectangle is 4 cm longer than the width, The perimeter is 80 cm. Find the length and the width. Substition Metho

d, Elimanation Method.
Mathematics
2 answers:
MrRa [10]3 years ago
6 0

Answer: Length = l

Width = w

2l + 2w = 80cm

l+w = 40cm

l = w+4

w+4 + w = 40cm

2w + 4 = 40cm

2w = 36cm

w = 18cm

l = 22cm

jd3sp4o0

Step-by-step explanation:

Juli2301 [7.4K]3 years ago
3 0

Answer:

L = 22, W= 18

Step-by-step explanation:

You can use an equation to solve this. Since the length is 4 more than the width, you can use L = W + 4. (L = Length, W = Width). I personally like to draw a diagram to figure out the total sides. We can add up all the sides, using our equations and adding common factors. We know the perimeter is 80 cm, so we can equal it to this. Solve for W. And finally subsitute for L.

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Vedmedyk [2.9K]
(Can't really explain it... hopefully these steps can help you.. maybe I'm just too lazy..)

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8 0
3 years ago
How would I solve for the parabolic equation with these two given points. Please answer ASAP!!
monitta
So

y=ax^2+bx+c
(x,y)
sub the points and solve

(4.28,6.48)
6.48=a(4.28)^2+b(4.28)+c

(12.61,15.04)
15.04=a(12.61)^2+b(12.61)+c
well, for 3 variables, we need equations and therefor 3 points

maybe we are supposed to assume it starts at (0,0)
so then
0=a(0)^2+b(0)+c
0=c
so then
6.48=a(4.28)^2+b(4.28)
15.04=a(12.61)^2+b(12.61)

solve for a by subsitution
first equation, minut a(4.28)^2 from both sides
6.48-a(4.28)^2=b(4.28)
divide both sides by 4.28
(6.48/4.28)-4.28a=b
sub that for b in other equation

15.04=a(12.61)^2+b(12.61)
15.04=a(12.61)^2+((6.48/4.28)-4.28a)(12.61)
expand
15.04 =a(12.61)^2+(81.7128/4.28)-53.9708a
minus (81.7128/4.28) both sides
15.04-(81.7128/4.28)=a(12.61)^2-53.9708a
15.04-(81.7128/4.28)=a((12.61)^2-53.9708)
(15.04-(81.7128/4.28))/(((12.61)^2-53.9708))=a
that's the exact value of a
to find b, subsitute to get
(6.48/4.28)-4.28((15.04-(81.7128/4.28))/(((12.61)^2-53.9708)))=b

if we aprox
a≈-0.038573167896199
b≈1.6791118501845
so then the equation is
y=-0.038573167896199x²+1.6791118501845x
7 0
3 years ago
A flashlight has 7 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability th
TEA [102]
71.4 % chance I think is your answer. 
8 0
3 years ago
I need help ASAP!
Readme [11.4K]

Answer:

i) Equation can have exactly 2 zeroes.

ii) Both the zeroes will be real and distinctive.

Step-by-step explanation:

x^{2} - 7x + 3 is the given equation.

It is of the form of quadratic equation a^{2} + bx + c and highest degree of the polynomial is 2.

Now, FUNDAMENTAL THEOREM OF ALGEBRA

If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

So, the equation can have exact 2 zeroes (roots).

Also, find discriminant D = b^{2}  - 4ac = (-7)^{2}  - 4(1)(3) = 49 - 12 = 37

⇒ D = 37

Here, since D > 0, So both the roots will be real and distinctive.

7 0
3 years ago
If
Dovator [93]

12^2=144

144 is divided by b which also is an odd interger, there only 2 numbers : 1 and 3

if b=3, a^2=48, then there will be no a available

if b=1 , a^2=144, then a is 12 and 12 can not be divided by 9

The answer is D

3 0
3 years ago
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