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Trava [24]
3 years ago
11

What is x^2 -7x + 12 = 0 what is using method of factoring

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
x^2 -7x + 12 = 0 \\ \\ (x - 4)(x - 3) = 0 \\ \\ x = 4, 3 \\ \\

The final result is: x = 4, 3.
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4sin^2 + 13cos^2 = 7. Find cos <br><br> Please read the picture question carefully and help !!
Vanyuwa [196]
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!
5 0
3 years ago
Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0
3 years ago
What is the solution to an equation /
navik [9.2K]

Answer:

Idk what u mean?

Step-by-step explanation:

but i searched it up and here are my results

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.Mar 20, 2020

email me if it helps

ty

6 0
3 years ago
5. The fourth graders are going to the
Llana [10]

Answer:

14 rows. Hope this helped :) !

5 0
3 years ago
M and m<br> Please find quick
Lady_Fox [76]

Answer:

wELL YOU WANT TO GRAB SOME M AND MS AND EAT THEM

Step-by-step explanation:

4 0
3 years ago
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