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2 years ago

X^2 +14x +45=0 factorise

Mathematics

2 answers:

Andreyy892 years ago

4 0

Answer:

Step-by-step explanation:

x^2+14x+45=0

x^2+(9+5)x+45=0

x^2+9x+5x+45

x(x+9)+5(x+9)=0

(x+9)(x+5)=0

either x+9=0 Or,x+5=0

x+9=0

x=0-9

x=-9

x+5=0

x=0-5

x=-5

therefore x=-9,-5

gizmo_the_mogwai [7]2 years ago

4 0

I think so the answer is x=-5

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

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2 years ago

Calculate the speed of a 2-kg ball that has momentum of 10 kg•m/s

4vir4ik [10]

The formula for momentum is:
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From this formula we can derive the formula for velocity:

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loris [4]

Answer:

It's 5.

Step-by-step explanation:

Because a constant is a number next to the variable.

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