The points A(− 7,-8) and B(18,-8) are the two vertices of an isosceles triangle ABC, where AB=BC. The equation of the perpendicular from B to AC is 4x+3y= 48, try to find the coordinates of point C

Really need some help with this, thank you very much.​

Answer:

help

Step-by-step explanation:

Answer:

For parallel:

gradient is 1/5

[tex]y = mx + c[/tex]

consider (5, -2):

[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]

[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]

For perpendicular:

gradient, m1:

[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]

gradient = -5

[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]

[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]

Answer:

Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]

Perpendicular: [tex]y=-5x+23[/tex]

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+b[/tex]

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]

Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].

Finding the Perpendicular Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

To find the y-intercept, plug in the point (5,-2) and solve for b:

[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]

Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+23[/tex]

Our final equation is [tex]y=-5x+23[/tex].

I hope this helps!

Answer: to the nearest tenth i believe, 6.8

Step-by-step explanation:

The round off should be ones place.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

Given:

20÷3

The resulting value is 6.666666667.

So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.

Hence, the round off should be ones place = 7

Learn more about rounding off here:

https://brainly.com/question/13391706

#SPJ4

B. -4/6

Step-by-step explanation:

5x+x=-4

6x=-4

x=-4/6

Answer:

Step-by-step explanation:

If you are solving for x then you should get something like this

A 5x-2+x=x- 4 B. 5x+x=x-4

6x-2=-4. 6x=x-4

6x-2-x=-4. 6x-x=-4

5x-2+2=-4+2. 5x=-4

5x/5=-2/5. 5x/5=-4/5

x=-2/5. x=-4/5

I hope this helped you out!

Answer:

∠ LMN = 65° , ∠ PQR = 25°

Step-by-step explanation:

Complementary angles sum to 90°

∠ LMN + ∠ PQR = 90° , that is

8x + 1 + 2x + 9 = 90

10x + 10 = 90 ( subtract 10 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

Then

∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°

∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°

Answer:

418

Step-by-step explanation:

2) 836 = 836/2

=418

•°•2) 836=418

Answer:

836/2=418,Hope it helps.

Answer:

a)660

b)135

Step-by-step explanation:

a)200+25+135+300=660

b) 135 because since 135 do not have telephone, they will have mobile instead.

Hope this helps! Thanks.

Answer:

fraction of blue beads = 7/(4+7)

= 7/11

Answer:

3:5

Step-by-step explanation:

find a common numeral

Answer:

0.567 X 10

Step-by-step explanation:

5.67 in standard form is 0.567

Answer:

GH = 9

Step-by-step explanation:

FH=FG+GH

21= 12+GH

GH = 21-12 =9

I hope I helped you^_^

You're a square !!!1!!!!!!!!11

Answer:

The area is 7.5 square units

Answer:

Step-by-step explanation:

53+26+15=94

94-100=6

So I'm just gonna assume that 6% of people prefer to watch soccer.

Now to solve how many people out of 1000 would watch soccer we'd have to multiply 1000 by 0.09 which gives us 90.

So 90 people out of 1000 would prefer to watch soccer.

Answer:

the answer is in picture

Answer:

72

Step-by-step explanation:

5,9,15,21,26,34,43,47,50,55,63,72

Answer: it's 72

ok!! hope it helps

Answer:

x = w / 57r is the answer

Answer:

(10, -9)

Step-by-step explanation:

Xs = 5 -(0-5) = 5+5 = 10

Ys = -2 -(5-(-2)) = -2 - 7 = -9

so, the coordinates of point S => (10, -9)

Answer:

Step-by-step explanation:

Use midpoint formula and assume S(x, y):

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{5}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The value of s=10

Step-by-step explanation:

11+(-1)=10

Answer:

900

.........................

Answer:

900

Step-by-step explanation:

30 square is like 30×30=900

Answer:

yes it is a rational number..

Answer:

12

Step-by-step explanation:

(2x-y)=4

Multiply the first equation by 3

3*(2x-y)=3*4

6x -3y = 12

Answer:

I haven't learned matrix sorry

Answer:

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Step-by-step explanation:

Let us have x liters of the .7 mixture and y liters of the .6 mixture.

We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35

We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .

So we have the system

700x+600y=62(35)

10x+10y=35

I'm going to setup this up for linear combination/elimination.

Multiply bottom equation by 60.

700x+600y=62(35)

600x+600y=60(35)

Subtract equations (bottom from top):

(700-600)x+(600-600)y=35(62-60)

Simplify:

100x+0y=35(2)

100x=70

Divide both sides by 100:

x=70/100

x=7/10

Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.

y=3.5-x with x=.7

y=3.5-0.7

y=2.8

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Pic added.

Another way to do problem:

.7x+.6(3.5-x)=.62(3.5)

Multiply and distribute:

.7x+2.1-.6x=2.17

Combine like terms on left:

.1x+2.1=2.17

Subtract 2.1 on both sides:

.1x=.07

Multiply both sides by 10:

x=0.7 liters

Now the other acid solution is 3.5-0.7 which is 2.8 litera.

Answer:

36

Step-by-step explanation:

Replace the 2b with 10 and then do the parenthesis, so 10-4=6

now multiply it with the 6 outside the parenthesis and you get 36

Hi! I'm happy to help!

First of all, we need to substitute b into the expression.

6(2b-4)

6((2×5)-4)

Now we use the order of operations, or PEMDAS (Parenthesis, Exponents, Multiplication or Division, and Addition or Subtraction) to finish simplifying.

We see that 2×5 is inside two sets of parenthesis, so we solve that first

6((2×5)-4)

6((10)-4)

We cam remove the extra set of parenthesis because there isn't an expression inside of it any more.

6(10-4)

Now, we look inside of the parenthesis again and we see 10-4

6(10-4)

6(6)

The six next to the parenthesis has no sign next to it, which means to multiply.

6×(6)

Now we can remove the parenthesis.

6×6

Now, we just simply multiply.

6×6

36

To sum it up: The value of 6 (2b-4) When b=5 is 36

I hope this was helpful, keep learning! :D

Answer: C. 1.44

Step-by-step explanation:

Each number gets multiplied by 2, so it's an exponential series in a way.

You must multiply .72 by 2 to get 1.44.