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11Alexandr11 [23.1K]
3 years ago
12

What is 3x² + 3x - 36 and x² - 3x - 28 in factored form?

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
7 0

Answer:

(x+4)(x-7)

Step-by-step explanation:

satela [25.4K]3 years ago
3 0

Answer:

3x² + 3x - 36=

(3x+12)(x-3)

x² - 3x - 28=

(x+4)(x-7)

Step-by-step explanation:

For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".

For more info on the cross method.

Here it is:

https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm

Hope you enjoyed :D

You might be interested in
A uniform bar of mass $m$ and length $l$ is suspended on a frictionless hinge. A horizontally launched blob of clay of mass $m$
Irina-Kira [14]

Answer:

conservation of angular momentum ; conservation of energy

Step-by-step explanation:

The complete Question is given as follows:

" A uniform bar of mass (m) and length (L) is suspended on a frictionless hinge. A horizontally launched blob of clay of mass (m) strikes the bottom end of the bar and sticks to it. After that, the bar swings upward. What is the minimum initial speed (v) of the blob of clay that would enable the rod to swing a full circle? Which concepts/laws would be most helpful in solving this problem? Select the best answer from the options below.  "

CHOICES

kinematics of rotational motion; conservation of energy

conservation of momentum ; conservation of energy

conservation of angular momentum ; conservation of momentum

conservation of angular momentum ; conservation of energy

conservation of energy ; Newton's laws

Newton's laws ; conservation of angular momentum

conservation of angular momentum ; kinematics of rotational motion

Newton's laws, kinematics of rotational motion

Solution:

- We will apply the conservation of angular momentum M. Note the linear momentum does not remains conserved as the rod stores some energy as the clay sticks to the rod:

                                       M_i = M_f

- Initially the rod was at rest and clay had velocity of v, then M_i can be written as:

                                       M_i = m*v*L

- The final momentum is the combined effect of clay and rod:

                                       M_f = ( m*L^2 + I_rod )*w

- Where w is the angular speed of the rod after impact. And I_rod is the moment of inertia of rod.

                                      I_rod = mL^2 / 3

                                      M_f = ( m*L^2 + m*L^2 /3 )*w = (4*m*L^2 / 3)*w

- Formulate w in terms of initial velocity v:

                                     m*v*L = (4*m*L^2 / 3)*w

                                      0.75*v / L = w

- The minimum amount of velocity required would be enough to complete half of a circle.

- Apply conservation of Energy principle:

                                     T_i + V_i = T_f + V_f

Where, T is the kinetic energy soon after impact and at top most position.

            Assuming, T_f = 0 , for minimum velocity required to complete on circle.

             T_i = 0.5*I_combined*w^2

Where, I_combined = I_clay + I_rod = 4*m*L^2 / 3

And w = 0.75*v / L:

             T_i = 0.5*[4*m*L^2 / 3]*[0.75*v / L]^2

             T_i = 0.5*[m]*[v^2]

Also, V is the potential energy of the clay plus rod system soon after impact and at top most point.

             V_i = 0 ( Datum )

             V_f = V_rod + V_clay

             V_f = m*g*L + m*g*2L = 3*m*g*L

- Plug in the expressions in the energy balance and we get:

                              0.5*[m]*[v^2] + 0 = 0 + 3*m*g*L

                                      v_min = sqrt ( 6*g*L)

- So the choices used were:

conservation of angular momentum ; conservation of energy

                 

             

6 0
3 years ago
1/2x=5/4 solve the equation and inequalities
aivan3 [116]

The equation is simplified to x = 3/2

<h3>What are linear equations?</h3>

Linear equations are equations with the highest power of a variable as 1

Given the equation;

1/ 2x = 5/ 4

cross multiply

4 × x = 2 × 5

4x = 10

Make 'x' the subject

x = 10/ 4

Reduce to simplest term

x = 3/ 2

Thus, the equation is simplified to x = 3/2

Learn more about linear equations here:

brainly.com/question/14323743

#SPJ1

3 0
1 year ago
Find the slope.(-5,-3)
TiliK225 [7]
Hi!

The slope for the points given is m= \frac{3}{5}

8 0
3 years ago
I need help plz I will give brainly
Dafna1 [17]

Answer:

As follows, (shortened)

Step-by-step explanation:

1.AB=CD (Given)

2.AB+BC=CD+BC ( By additive property, adding BC to both sides)

3.AB+BC=CD+DE (Given, BC=DE, By substitution property replacing BC by DE)

4.AC=CE(By segment addition, and substitution property)

7 0
2 years ago
LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE
Misha Larkins [42]

okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

6 0
3 years ago
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