PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0

Effectus [21]

5 divided by 45 equals 9

3 0

2 years ago

Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-10)$ and $O(

lidiya [134]

Answer:

P=(3,3)

Step-by-step explanation:

We need to find a point P in the line $y=-x+6$ such that $PA=P0$ where $A=(10,-10)$

Observe that the coordinates of P are $(x,y)=(x,-x+6)$ because P is in the line.

Then,

$PA=P0\\(x,-x+6)(10,-10)=(x,-x+6)(0,0)\\10x+(-x+6)(-10)=0\\10x+10x-60=0\\20x=60\\x=3$

We reeplace the value of x in the coordinates of P and obtain the point

$(3,-3+6)=(3,3)=P$

7 0

2 years ago

Which equation, in point-slope form, represents a line with m= -4/7 that goes through the point (-1, 4)?

Gelneren [198K]

A is the correct answer.

Point Slope Form: y - y₁ = m(x - x₁)

m = slope ⇒ -4/7
Coordinate: (-1 , 4)
x₁ y₁

All you have to do is plug in all of the information above into the formula.

y - 4 = -4/7(x +1)

4 0

3 years ago

Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

3 years ago

Can someone solve all dis<br> Will mark *brainiest* :)

expeople1 [14]

Answer:

the whole page????

Step-by-step explanation:

am confusion

8 0

2 years ago