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
Substitute 8 for x and evelute the expression below (x-+6)-2 ?
I need help please! 45 points :)
[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]
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Answer:
Subtraction property of equality
Step-by-step explanation:
In the equation, 5 is subtracted from both the sides
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
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
can someone pls help for brainlest
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
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
Answer:
Vertical Angles
x = 21
Step-by-step explanation:
Vertical Angles
4x + 3 = 87
4x = 84
x = 21
If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?
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
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
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
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.
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.
Step-by-step explanation:
it might be the last one
may it helped u
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?
What is the smallest 6 digit palindrome that can be divided by 99?
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
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
Solve for x and show work
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:
3, 6, 12,
The common ratio is
Answer:
The common ratio is 2.
Step-by-step explanation:
3 : 6 : 12
1 : 2 : 4
which value from the set{2,14,16,63}makes the equation n-7=9 true
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
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
Answer:
Step-by-step explanation:
They are similar because they have two respective congruent angles
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.
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
The triangle inequality
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?
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
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
Please Help ASAP!! Due today!!
Answer:
-4 equals p=2 and a and R are at point Y downwards.
PLEASE HELP ASAP IM TIMED!!
What is the standard form of y=2(x-3)(x+5) and show your work
Answer:
o really sis/bro hsgsmhsndjd
What is the solution to the system of equations graphed below?
(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).
cuanto me da como resultado
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.
what is 2(j-4)>=-6? solve the inequality for j
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! ;)
PLEASE HELPP MEEE ASAPPPPP
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
1
If f(x) = 3x + 2 and g(x)=x+1, which expression is equivalent to (fog)(x)?
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:
I was thinking the answer was three but I’m not entirely sure help pls?
Answer:
3
Step-by-step explanation:
Answer:
-2
Step-by-step explanation: