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weqwewe [10]
3 years ago
12

(3x-4) (x+2) = 448 What is the value of x?

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Step-by-step explanation:

3x²+6x-4x-8=448

3x²+2x=456

3x²+2x-456=0

You might be interested in
In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse
nata0808 [166]

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

3 0
3 years ago
Find the area of the triangle<br> in square inches.<br> height 110 in.<br> length 1.5 ft
GarryVolchara [31]

9514 1404 393

Answer:

  990 square inches

Step-by-step explanation:

The area is the half the product of length and height.

  A = (1/2)(18 in)(110 in) = 990 in²

The area of the triangle is 990 square inches.

7 0
2 years ago
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

7 0
3 years ago
Which is the graph of the system of equations?<br> x + 2y = 2<br> 4x - y = 4
Sladkaya [172]
Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
x=-2(4/9)+2
x=10/9
y=4/9,x=10/9




4 0
3 years ago
Find the measure of 7
fredd [130]

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

7 0
3 years ago
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