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eimsori [14]
3 years ago
10

Solve (4x - 5) (x + 3) = 0. Please need help

Mathematics
1 answer:
MakcuM [25]3 years ago
5 0

Answer:

x= 5,-3

Step-by-step explanation:

(4x - 5) (x + 3) = 0.

4 {x}^{2}  + 3x - 5x - 15  = 0 \\  4{x}^{2} - 2x - 15 = 0

the \: roots \: are \:

5 and -3

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the length of the pole is 9.90 feet.

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Keshia rides her bike 10 miles per hour at this rate how many more minutes will it take her to ride 30 miles than 25 miles
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If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con
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Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

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Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10x3 3x2−20x
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P (6,6) y=2/3x
matrenka [14]

Answer:

y = -\frac{3}{2}x+15

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

y = \frac{2}{3}x

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

y = \frac{2}{3}x

Now, we compare the given equation by standard form y = mx +c

So, slope of the line m_{1} = \frac{2}{3}, and

y-intercept c=0

We know that the slope of the perpendicular line m_{1}\times m_{2}  = -1

m_{2}=-\frac{1}{m_{1}}

m_{2}=-\frac{1}{\frac{2}{3} }

m_{2}=-\frac{3}{2}

So, the slope of the perpendicular line m_{2}=-\frac{3}{2}

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

y=mx+c

Substitute point P(x_{1}, y_{1})=P(6, 6) and m = m_{2}=-\frac{3}{2}

6=-\frac{3}{2}\times 6 +c

6=-3\times 3 +c

c=6+9

c=15

So, the y-intercept of the perpendicular line c=15

Using point slope formula.

y=mx+c

Substitute m = m_{2}=-\frac{3}{2} and c=15 in above equation.

y = -\frac{3}{2}x+15

Therefore: the equation of the perpendicular line y = -\frac{3}{2}x+15

8 0
4 years ago
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