What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -1/2
Answers
9514 1404 393
Answer:
y +8 = -1/2(x -4)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Your line has a slope of -1/2 and goes through point (4, -8). Its equation is ...
y +8 = -1/2(x -4)
_____
In slope-intercept form, this is ...
y = -1/2x -6
In standard form, it is ...
x +2y = -12
Related Questions
PLZZZZ help it will mean a lot :)
Answers
3x = 18
Divide both sides by 3 and simplify
x=6
Answer:
Step-by-step explanation:
assuming that you need to find the value of x
3x = 18
-divide both sides by 3
3x/3 = 18/3
-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6
x = 6
Select all the expressions that are equivalent to 3^2 · 3 ^(-6)
Answers
Answer:
[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]
[tex]\frac{7}{8} + \frac{3}{4}[/tex]
Answers
Answer:
Step-by-step explanation:
7/8 + 3/4
7/8 + 6/8
13/8 = 1 5/8
PLEASE HELP!!!!!! Im being timed
Answers
Answer:
9,6 hope this helps
Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?
Answers
Answer:
1.36
Step-by-step explanation:
9.52/7
1.36 is the length of one of the 7 equal pieces
−1 4/5−(−2 7/8)
4 3/4−(−1 1/12)
−1 4/5−(−2 7/8)
3 1/3-5
−1/3−(−1/2
Answers
Answer:
1) 43/40
2) 35/6
3) 43/40
4) -5/3
5) 1/6
Step-by-step explanation:
1) -1 4/5 = -(1*5 +4)/ 5= -9/5
or 1= 5/5 so -1 4/5= -( 5/5+ 4/5)=-9/5
-2 7/8= -(2*8+7)/8=-23/8
=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40
= 43/40
2) 4 3/4= (4*4+3)/4= 19/4
-1 1/12= -(1*12+1)/12= -13/12
=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6
3) same like 1)
4) 3 1/3 = (3*3+1)/3= 10/3
=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3
5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6
What’s the answer???
Answers
Answer:
Step-by-step explanation:
In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?
Answers
Answer:
-7, -6, -5
Step-by-step explanation:
-7 < -6
-5 > -6
-7 < -6 < -5
How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4
Answers
you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
a triangle has a width of 4 cm and perimeter of 26 cm. find the length
Answers
Answer:
9 ufh fcnbscbhbvxdfhbbhukkkocd
Practice
1. Hyatt Home Improvement uses H-shaped tile Design 1 Design 2
Design 3
designs on their buildings, advertisements, and
vehicles. The designs they use follow a specific
pattern. The first three designs are shown.
a. Describe the pattern in the designs.
b. Write two different expressions to represent
the number of tiles used in Design n. Use
algebraic properties to prove the two expressions are equivalent.
c. Explain how you could use technology to prove the two expressions in part (b)
are equivalent.
d. Create a table that displays the number of tiles used in each of the first 6 designs.
e. Create a graph of the data points in your table on the coordinate plane shown. Draw a smooth
curve to connect the points.
f. Do all of the points on the smooth curve make sense in terms of the problem situation? Explain
your reasoning.
g. Describe the pattern as linear, exponential, quadratic, or none of these. Explain your reasoning.
h. The owner of Hyatt Home Improvement wants to put one of their designs on an empty
rectangular sign in front of their headquarters. The empty sign is 10 feet tall and 12 feet wide. If he
Answers
Patterns are set of rules that guide the creation of a dataset. The observation from the first three designs are as follows:
The pattern is that the number of tiles increases as the design number increasesThe expressions for the number of tiles are [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]The expression can be proved to be equivalent using graph technology The points on the curve make sense in this scenario because all values are positiveThe pattern is quadratic.The largest design number that can enter an empty 10 by 12 ft sign is design number 8The pattern
The first three design show that, as the design number increases (i.e. 1, 2, 3), the number of tiles used also increases (i.e. 7, 12, 19)
The expressions for the number of tiles
The design number and the number of tiles is represented as follows
[tex]1 \to 7[/tex]
[tex]2 \to 12[/tex]
[tex]3 \to 19[/tex]
From the designs, we observe that some tiles are at the middle, while other tiles are at the sides.
Design 1 has 1 tile at the center and 6 tiles at either sides.
So, we have:
[tex]1 \to 1 + 6[/tex]
[tex]2 \to 4 + 8[/tex]
[tex]3 \to 9 + 10[/tex]
Expand
[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]
[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]
[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]
Notice the pattern,
The number of tiles in design n will be:
[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]
Open bracket
[tex]Tiles = n^2 + 2n + 4[/tex]
Hence, the expressions for number of tiles in design n are:
[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]
Technology to prove that both expressions are equivalent
To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are equivalent using technology, the graphs of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be plotted and then compared
The table and graph for the first 6 designs
The table entry for the first 6 designs is calculated as follows:
[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]
[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]
[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]
[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]
[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]
[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]
So, we have:
[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]
See attachment for the graph of the above table
All the points on the curve make sense in this scenario because all values are positive.
The pattern type
We have:
[tex]Tiles = n^2 + 2n + 4[/tex]
When an equation has a degree of 2, the equation is quadratic.
Hence, the pattern is quadratic.
The largest design that an empty sign of 10ft by 12ft can contain.
From the first three designs:
The number of tiles on a complete row and column are always the same.
Design 1 has 3 tiles in its complete row and column
Design 2 has 4 tiles in its complete row and column
Design 3 has 5 tiles in its complete row and column
The relationship between the design number (d) and the number of complete tiles (t) is:
[tex]d = t - 2[/tex]
For the 10ft by 12ft empty sign
[tex]t = 10[/tex] because [tex]10 < 12[/tex]
So, we have:
[tex]d = t - 2[/tex]
[tex]d = 10 - 2[/tex]
[tex]d = 8[/tex]
Hence, the largest design number is design 8
Read more about patterns at:
https://brainly.com/question/13382968
9. El radio de una pelota de básquetbol es aproximadamente 3.6 veces mayor
que el radio de una pelota de tenis. ¿Cuántas veces mayor es el volumen
de una pelota de básquetbol que el volumen de una pelota de tenis?
4
Nota: El volumen de una esfera es V = -tr
Answers
Answer:
so the volume of the basketball is 46.656 times greater than the volume of the tennis ball.
Step-by-step explanation:
Kareem runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?
Answers
He would take 63minutes to run 6 miles
Answer:
TIME TAKEN =63minutes or 1 h 3 min.
Please help ASAP 17x - 4(4x - 3)
Answers
Step-by-step explanation:
17x-4(4x-4)
17x-16x+8
X+8
Answer:
x + 12
Step-by-step explanation:
17x - 4(4x - 3)
17x - 16x + 12
x + 12
I needddddd heelllpppp pleaseeee
Answers
Answer:
3/2
Step-by-step explanation:
Csc(theta) = 1/Sin(theta)
So we have to find the side opposite theta.
a = 3*sqrt(5)
b = ?
c = 9
a^2 + b^2 = c^2
(3sqrt(5)) ^2 + b^2 = 9^2
9*5 + b^2 = 81
b^2 = 81 = 45
b^2 = 36
sqrt(b^2) = sqrt(36)
b = 6
Sin(theta) = 6/9
Csc(theta) = 1 / sin(theta) = 9/6
Csc(theta = 3/2
Problem 3
Answer: 3/2=====================================================
Explanation:
Use the pythagorean theorem to find the length of the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]
This is the length of the missing vertical side. This side is opposite the angle theta.
[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
Alternatively, you can compute it like this
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
A $40.00 shirt is on sale for 35% off. How much will I save?
Answers
Answer:
You will save $14.00
Step-by-step explanation:
If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00
a + 1 = 3000
a = ?
This is my first question, I know the answer. I just wanna test the platform.
Answers
Answer:
2999
Step-by-step explanation:
a + 1 = 3000
=> Subtracting 1 from both sides,
=> a + 1 - 1 = 3000 - 1
=> a = 2999
Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)
Answers
Answer:
x > 2
Step-by-step explanation:
Distribute and cross-simplify 1/2 with parenthesis
4x + x + 2 > 12
Solve left side
5x + 2 > 12
Subtract 2 from both sides
5x > 10
Divide both sides by 5
x > 2
The Sierpinski triangle (pictured below) is a fractal image. The original figure is an equilateral triangle. In each step, the computer splits every triangle in the design into 444 congruent equilateral triangles, and removes the center one from the design. The area remaining in a particular design after nnn steps can be shown using the following expression:
\qquad\dfrac{25\sqrt{3}}{2}\cdot\left(\dfrac{3}{4}\right)^n
2
25
3
⋅(
4
3
)
n
start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction, dot, left parenthesis, start fraction, 3, divided by, 4, end fraction, right parenthesis, start superscript, n, end superscript
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations.
The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations. The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
What does \dfrac{25\sqrt{3}}{2}
2
25
3
start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction signify in the expression?
Answers
Answer:
B
Step-by-step explanation:
thats what it is in khan i think
1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.
Answers
Let the small , medium and large baskets be denoted by s,m & l
Formulating the equations
s+m+l= 80--------- equation1
$15.75s+ $25 m + $32.5l = $2086.25------equation2
2s=l---------equation 3
Using the technology s=15, m=35 and l= 30
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
2(15)=(30)---------equation 3
Yes because multiple variables can be easily calculated through matrices using technology
In Matrix form
[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex] = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]
Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Z= A⁻¹ B
A⁻¹= A mod/ det A
det A= -1
Using the technology s=15, m=35 and l= 30
15 small baskets,
35 medium baskets
30 large baskets were sold.
Part C:
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
236.25+ 875+ 975=$2086.25
$2086.25=$2086.25
2(15)=(30)---------equation 3
Answer 2:
Yes because multiple variables can be easily calculated using technology.
N.B There is a typing error in question its $2086.25 not 52086.25
factors of 15,17 ,26 & 80
Answers
Answer:
Factors of 15: 1, 3, 5 and 15.
Factors of 17: 1 and 17.
Factors of 26: 1, 2, 13 and 26
Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.
Actually you can find all the answers in the Internet.
where can i find the answers?
Answers
Answer:
I don't know where can you find this question's answer.
hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.
Answers
Answer:
150.333
Step-by-step explanation:
The three is repeated
Simplify the answer has to be a positive exponent Please help!
Answers
5^4 /5
Use the exponent rule x^a/x^b = x^a-b
5^4/5 = 5^4-1 = 5^3
Answer as a positive exponent is 5^3
Someone answer this
Answers
Answer:
1st box is "a 90°clockwise rotation about the origin
2nd box is "a 180° rotation about the origin
3rd box is "a 90° counterclockwise rotation about the origin
30, 32, and 34 Please! I WILL GIVE BRAINLIEST
Answers
Answer:
see explanation
Step-by-step explanation:
Since AL bisects ∠ KAT then ∠ 1 = ∠ 2
(30)
7x + 3 = 6x + 7 ( subtract 6x from both sides )
x + 3 = 7 ( subtract 3 from both sides )
x = 4
(32)
SAT is a straight line , then
∠ 1 + ∠ 2 + ∠ 3 = 180° , then
x + x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
(34)
Similar to (32)
x + 12 + x + 12 + 6x - 20 = 180 , that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Answer:
30) x= 4
32) x=30
33) x=22
Step-by-step explanation:
All step by step explainations are in pic below
How do you solve for LMN? I keep getting 15
Answers
Answer:
60°
Step-by-step explanation:
90° = 6x
15° = x
60° = 4x
Answer:
60
Step-by-step explanation:
We know that LMO = 90
2x+4x = 90
6x = 90
Divide by 6
6x/6 = 90/6
x = 15
We want to find LMN = 4x = 4*15 = 60
5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000
Answers
Answer:
92% of Income is Rs 18400
Step-by-step explanation:
I = 18400/.92 = Rs 20000
Anyone know the answers 11 through 14?Please help me.I’m tired
Answers
Answer:
11. [tex]x^{5}[/tex]
12. 5*[tex]x^{2}[/tex]
13. x+21
14. 2x-8
Step-by-step explanation:
(1/2)^x=2^-x could anyone tell me why
Answers
Answer:
Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4
Step-by-step explanation:
