Write a equation that represents this comparison sentence 32 is 8 times as many as 4

Ab and bc form a right angle at point B. if a= (-3,-1) and B= (4,4) what is the equation of BC?

Vesnalui [34]

Answer:

Option C $-7x-5y=-48$

Step-by-step explanation:

step 1

Find the slope of AB

we have

A(-3,-1) and B(4,4)

The slope m is equal to

$m=(4+1)/(4+3)$

$m=5/7$

step 2

Find the slope of BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

$m1*m2=-1$

we have

$m1=5/7$

substitute

$5/7*m2=-1$

$m2=-7/5$

step 3

Find the equation of the line into slope point form

$y-y1=m(x-x1)$

we have

$m=-7/5$

$B(4,4)$

substitute

$y-4=-(7/5)(x-4)$

Multiply by 5 both sides

$5y-20=-7x+28$

$7x+5y=28+20$

$7x+5y=48$

Multiply by -1 both sides

$-7x-5y=-48$

3 0

3 years ago

Find the equation of a line that passes through the point (2,1) and has a gradient of 2. Leave your answer in the form ax + by =

Arte-miy333 [17]

Step-by-step explanation:

normally, if we have the gradient (or slope of inclination or change rate) and a point, we start using the point-slope form :

y - y1 = a(x - x1)

with (x1, y1) being a point on the line, and a being the slope of gradient (or ... however you want to call it).

y - 1 = 2(x - 2) = 2x - 4

y + 3 = 2x

2x - y = 3

8 0

2 years ago

50 points plus brainliest please help screenshot provided

never [62]

Answer:

$\textsf{(a)} \quad (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}$

$\textsf{(b)} \quad m \angle 1=\boxed{57}\:^{\circ}$

$m \angle 2=\boxed{33}\:^{\circ}$

Step-by-step explanation:

From inspection of the given diagram:

$m \angle 1=(3x)^{\circ}$

$m \angle 2=(x+14)^{\circ}$

A right angle is 90° and is represented by the ∟ symbol.

To find x, <u>equal</u> the sum of the angles to 90° and solve for x:

$\implies m \angle 1+m\angle2=90^{\circ}$

$\implies (3x)^{\circ}+(x+14)^{\circ}=90^{\circ}$

$\implies 3x+x+14=90$

$\implies 4x+14=90$

$\implies 4x+14-14=90-14$

$\implies 4x=76$

$\implies 4x \div 4=76 \div 4$

$\implies x=19$

To find the degree measure of each angle, substitute the found value of x into the expression for each angle.

$\implies m \angle 1=(3 \cdot 19)^{\circ}=57^{\circ}$

$\implies m \angle 2=(19+14)^{\circ}=33^{\circ}$

6 0

1 year ago

Read 2 more answers

If triangle TSR is similar to triangle TNM, what is the length of x?

kolezko [41]

X would equal half of 70 because alternate exterior angles are congruent- and 120 is half of 240.

So,

70/2= 35

x would equal 35.

I hope this helps!
~cupcake

4 0

3 years ago

Your neighborhood gym tracked how many days each of its members worked out over the past week. Let G = the

elena-s [515]

Answer:

C.

If many, many members were randomly selected, the average number of days per week a member worked out would be about 1.36 days.

Step-by-step explanation:

yes

8 0

3 years ago

Read 2 more answers