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
The triangle inequality
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?
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).
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
Substitute 8 for x and evelute the expression below (x-+6)-2 ?
Please Help ASAP!! Due today!!
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.
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
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
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! ;)
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
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
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
3, 6, 12,
The common ratio is
Answer:
The common ratio is 2.
Step-by-step explanation:
3 : 6 : 12
1 : 2 : 4
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
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
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
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
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
What is the smallest 6 digit palindrome that can be divided by 99?
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:
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]
can someone pls help for brainlest
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
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
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
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:
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:
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.