Line A has a slope of 3/2 and passes through the point (3, 3). Line B has a slope of – 1/3 and passes through the point (-4, -2). At what point does line A intersect line B? Line Aintersects line B at the point ( , ).​

Answers

Answer 1

Answer:

The lines meet at (-1, -3)

Step-by-step explanation:

Line A :

[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]

                             [tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]

Line B :

[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]

                             [tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]

Solve for x and y from the linear equation to find where line A and line B meets :

2y = 3x - 3 => 3x - 2y = 3 ------- (1)

3y = -x - 10 => -x = 3y + 10

                => x = - 3y - 10 --------(2)

Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3

                                   -9y - 30 -2y = 3

                                       -11y = 3 + 30

                                         -11y = 33

                                            y = -3

Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1


Related Questions

what is 2(j-4)>=-6? solve the inequality for j

Answers

Answer:

J >= 1 or j is greater than or equal to 1

Step-by-step explanation:

Write equation:

2(j-4)>= -6

1. Distribute:

2j - 8 >= -6

2. Add 8 on both sides:

2j -8 +8 >= -6 + 8

2j >= 2

3. Divide 2 on both sides:

2j/2 >= 2/2

j >= 1

There ya go! Hope this helps, have a good night or day! ;)

can someone pls help for brainlest

Answers

Its C, he has 42 in total and needs 49 49-42=7. I can’t really see the last option well tho.

Solve for x and show work

Answers

Answer:

Hi,

These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?

Step-by-step explanation:

Substitute 8 for x and evelute the expression below (x-+6)-2 ?

Answers

( -8 + 6 ) - 2
= - 4
(8- + 6 ) - 2
= 0

Please Help. It would be very helpful to me

Answers

Answer:

A) 2 inches

Step-by-step explanation:

Please Help ASAP!! Due today!!

Answers

Answer:

-4 equals p=2 and a and R are at point Y downwards.

Select the correct answer.


Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

A.
Shape 1 and shape 2 are not congruent.

B.
A translation will prove that shape 2 is congruent to shape 1.

C.
A rotation and a translation will prove that shape 2 is congruent to shape 1.

D.
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Answers

you need to put a photo of the shapes.

What is the value of X?

What is the relationship between the marked angles?:

Linear pair
Exterior angle of a triangle
Corresponding angles
Vertical angles
Alternate interior angles

Answers

Answer:

Vertical Angles

x = 21

Step-by-step explanation:

Vertical Angles

4x + 3 = 87

4x = 84

x = 21

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

In the equation, 5 is subtracted from both the sides

What is the smallest 6 digit palindrome that can be divided by 99?

Answers

Answer: 54945

Smallest 5 digit number,which is also a palindrome and divisible by 99 is 54945

I need help please! 45 points :)

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 1 unit.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]

[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]

Therefore, the area of the circle is 3.14 units².

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

What is the solution to the system of equations graphed below?

Answers

(1, 2) because that's where the lines intersect!

Answer: (1, 2)

Step-by-step explanation:

The solution of the systems of equations graphed can be found where the two linear lines intersect. In this graph, the lines intersect at 1 in the x-axis (the line with arrows that runs from left to right" and at 2 in the y-axis (the line with arrows that runs north to south).

Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?

Answers

Area= pie times the radius squared
The radius= half the diameter
The radius= 3.5/2 (1.75)
Pie times 1.75 squared= 9.62
Answer: 9.62

Consider the function and its inverse.
f(x) = x2 + 4 and f-1(x) = -x - 4
When comparing the functions using the equations, which conclusion can be made?
The domain of f(x) is restricted to x 20, and the domain of f'(x) is restricted to x2 0.
The domain of f(x) is restricted to x 20, and the domain off(x) is restricted to xs 0.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x2 4.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x s 4.

Answers

Step-by-step explanation:

it might be the last one

may it helped u

PLEASE HELPP MEEE ASAPPPPP

Answers

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426

Please please help me
I really need help

The questions are
1)Calculate the perimeter of this figure.
2)Calculate the area of the shaded region.

Answers

Answer:

(1) 102.55 in

(2)  316.69 in²

Step-by-step explanation:

Applying (1)

a² = b²+c².............. Equation 1

Given: a = 25 in, b = 20 in,

25² = 20²+b²

b² = 25²-20²

b² = 225

b = √225

b = 15 in

b = diameter of the semicircle

The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in

Therefore,

P = 37+25+17+23.55 = 102.55 in

(2) Applying,

A = Area of the tripezium- area of the semi circle

A = [h(a+b)/2]-πh²/8.............. Equation 2

Given; h = 15 in, a = 17 in, b = 37 in

A = (15(17+37)/2)-(3.14×15²/8)

A = 405-88.31

A = 316.69 in²

Which expression is equivalent to the given expression?
3r2 + 53 - 7(x2 + 4)
A.
x2 + 4
B. -412 + 51 - 4
OC.-4.2 + 51 – 28
D.
12 + 28

Answers

Answer:

C. - 4x^2 + 5x - 4

Step-by-step explanation:

just expand the equation and you'll get C

Answer:

O C.   [tex]-4x^2+5x-28[/tex]

Step-by-step explanation:

[tex]3x^2+5x[/tex] -7(x^2+4)      Distribute

[tex]3x^{2} +5x[/tex] -7x^2-28       Multiply - 7 by 4

3x^2 [tex]+5x[/tex] -7x^2 [tex]-28[/tex]   Combine Like Terms

-4x^2 [tex]+5x-28[/tex]           Final Answer

What is the value of f(5) in the function below?
f(x) = 1/4 •2x
A. 32
B. 16
C. 8
D.5/2

Answers

It’s easy trust me don’t make it hard on yourself !

First of all simplify the equation:

F(x)= 2/4(x)= 1/2(x)

Second step go ahead and replace x by 5 because it says f(5) in the question:

F(x)=(1/2)(5)= 5/2

Final answer:

F(x)= 5/2

I hope you understand my explanation and wish you all the best and good luck!!

I was thinking the answer was three but I’m not entirely sure help pls?

Answers

Answer:

3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?

Answers

Answer:

26

Step-by-step explanation:

Problem: f(x) = 28 + x + 7

Plug in f(-9)

New equation: f(-9) = 28 + (-9) + 7

Simplify: f(-9) = 26

Answer: f(-9) = 26

^^^^ the man above me got it’s or under

I know the answer, but I just wanna know if the answer I got was right or wrong, if I'm wrong help down please

Answers

Answer:

[tex]\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} +\frac{3}{10}[/tex]

[tex]\frac{5}{10} +\frac{3}{10} =\frac{8}{10}[/tex]

Hope this is helpful

Here are 2 right triangles.
9
S
у
a. Explain how you know the right triangles are similar.
Type your response in the space below.
В І о

B

Answers

Answer:

Step-by-step explanation:

They are similar because they have two respective congruent angles

A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63° with the wall ,find the distance between the foot of the ladder and the wall

Answers

Answer:

13.62 m

Step-by-step explanation:

We are to determine the value of the adjacent side given the value of the hypotenuse

we would use cos to determine this value

cos 63 = adjacent / hypotenuse

0.45399 = x / 30

x = 30 x 0.45399 = 13.62

PLEASE HELP ASAP IM TIMED!!
What is the standard form of y=2(x-3)(x+5) and show your work

Answers

Answer:

o really sis/bro hsgsmhsndjd

Y = mx+c

y=(2x-6)(x+5)
y= 2x^2 + 10x -6x -30
y= 2x^2 + 4x -30

3, 6, 12,
The common ratio is

Answers

Answer:

The common ratio is 2.

Step-by-step explanation:

3 : 6 : 12

1 : 2 : 4

cuanto me da como resultado

Answers

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

The triangle inequality

Answers

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

which value from the set{2,14,16,63}makes the equation n-7=9 true

Answers

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

1
If f(x) = 3x + 2 and g(x)=x+1, which expression is equivalent to (fog)(x)?

Answers

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

Answer:

3(x+1) + 2

Step-by-step explanation:

Ok if I have 159 booklets to do and I do 12 in a year how many years will it take to finish all the booklets?

Answers

Answer:

13.25 years

Step-by-step explanation:

Take the number of booklets and divide by the number of booklets per year

159/12

13.25 years

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