Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.
Answer:
they are perpindicular because they intersect at a right angle
Step-by-step explanation:
Answer:
The lines y=−4 and x=−1 are perpendicular.
Step-by-step explanation:
Given the lines
y=−4
x=−1
The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.
In other words, there is no change in y-value i.e. (y₂-y₁) = 0.
Thus, the slope of the horizontal line y = -4 is zero.
Therefore, the slope of y = -4 is: m₁ = 0
The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.
In other words, there is no change in x-value i.e. (x₂-x₁) = 0.
Thus, the slope of the vertical line x = -1 is zero.
Therefore, the slope of x = -1 is: m₂ = ∞.
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
As the slope of line y = -4 is: m₁ = 0
Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞
Therefore, the lines y=−4 and x=−1 are perpendicular.
ALSO:
From the attached graph, it is clear that:
The red line is representing y = -4The blue line is representing x = -1It is clear that both lines are perpendicular as they are meeting at a right angle.
Therefore, the lines y=−4 and x=−1 are perpendicular.
Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 10 feet wide. What is the depth of the water in the hot tub?
Answer:
volume for a rectangular prism is length*width*height
480 = l * w * h (the volume equal to the equation. plug in values you know)
480 = 12 * 10 * h (multiply the right side)
480 = 120h (divide both sides by 120 to isolate the height)
height = 4 feet
height of the bathtub and depth are the same thing, so your answer is 4 feet
Step-by-step explanation:
I hope this helps :))
I can’t figure out the surface area. Someone please help !! :)
Step-by-step explanation:
diameter is 8•5
radius is d/2
8•5/2
=4•25
surface area = 4πr^2
4×22/7×4•25×4•25
=1589•5/7
=227•1
Volume= 4/3πr^3
4/3×22/7×4•25×4•25×4•25
4/3×22/7×76•76
=321•7
Hope it helps
plz mark as brainliest
Find the sum of 2 4/5 + 1 3/9
Answer:
4 2/15
Step-by-step explanation:
4 x 9 = 36 3 x 5 = 15 5 x 9 = 45
36/45 + 15/45 = 51/45 = 1 6/45
1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
How many ways can three balls of different colors yellow, red, and green be put in a can
Answer:
If I'm doing this right its 6 ways
Step-by-step explanation:
yrg, rgy, gyr, ygr, gry, ryg
I hoped this helped
The common difference of the arithmetic sequence
Answer:
its 1/3
Step-by-step explanation:
please mark it as brainliest!!<3
Answer:
We conclude that the common difference of the Arithmetic sequence is: 1/3
Step-by-step explanation:
Given the Arithmetic sequence
1/2, 5/6, 7/6, 3/2, 11/6
We know that an Arithmetic sequence has a constant common difference.
Let us compute the common difference 'd' of all the adjacent terms
[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]
The difference between all the adjacent terms is the same and equal
Therefore,
[tex]d=\frac{1}{3}[/tex]
Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3
Need help asap! Question: How many 3/4's are in 2?
Use this statement to answer the following questions.
Answer:
two
Step-by-step explanation:
Answer:
Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.
Step-by-step explanation:
what is 4 divided by 8464
Answer:
4 divided by 8464 equals 0.00047258979
8464 divided by 4 equals 2,226
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Camp Oaks gets 32 boxes of orange juice and 56 boxes of apple juice. Each shelf in the cupboard can hold 8 boxes of juice. What is the least number of shelves needed for all the juice boxes?
Answer:
At least 11 shelves are needed for all the juice boxes.
Step-by-step explanation:
Given that:
Boxes of orange juice = 32
Boxes of apple juice = 56
Total boxes = 32+56 = 88
As one shelf can hold 8 boxes of juice.
Number of shelves = [tex]\frac{88}{8}[/tex]
Number of shelves = 11
Hence,
At least 11 shelves are needed for all the juice boxes.
9n - 7 = 5n - 19
What is n and why did you do that
Answer:
n=-3
Step-by-step explanation:
1) subtract 5n from both sides
2) Add 7 to both sides
3) divide both side by 4
Hope this helps
Which expressions are equivalent to the expression 30x^2-5x-10
FREE BRAINLIEST. LOOK AT PHOTO AND ANSWER LIKE STEP1 , STEP 2.
Answer:
Step 1 16+24-18
Step 2) 22
Step-by-step explanation:
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown
Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order.
a. What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
b. What is the probability that a randomly selected order will be gift wrapped?
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically?
Answer:
0.18 ; 0.1875 ; No
Step-by-step explanation:
Let:
Person making the order = P
Other person = O
Gift wrapping = w
P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10
What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
Using the relation :
P(W|O) = P(WnO) / P(O)
P(WnO) = P(W|O) * P(O)
P(WnO) = 0.60 * 0.3 = 0.18
b. What is the probability that a randomly selected order will be gift wrapped?
P(W) = P(W|O) * P(O) + P(W|P) * P(P)
P(W) = (0.60 * 0.3) + (0.1 * 0.7)
P(W) = 0.18 + 0.07
P(W) = 0.1875
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically
No.
For independent events the occurrence of A does not impact the occurrence if the other.
Sydney invests money in an account paying a simple interest of 5.2% per year. If no
money will be added or removed from the investment, what should she multiply her
current balance by to find her total balance in a year in one step?
Answer:
She should multiply her current balance by 1.052.
Step-by-step explanation:
Her investment is an account with a simple interest of 5.2% per year.
So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So
105.2%/100% = 1.052
She should multiply her current balance by 1.052.
A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit
Answer:
62.06%
Step-by-step explanation:
Given that,
CP of an electronic unit = $580
SP of an electronic unit = $940
We need to find the percent markup in the price of each unit. It can be done as follows :
[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]
So, the required answer is 62.06%.
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
Answer:
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
The system has infinitely many solutions
Step-by-step explanation:
Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.
Since the matrix contains 3 rows there can be 3 nonzero rows and consequently
3 lead variables at most after we compute the row echelon form of the matrix
At least of the variables is free variables is free variable.
The system has infinitely many solutions
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t-4(2+t)=20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer:
c
Step-by-step explanation:
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
192
7) 1/2+1/2=
Your answer
Answer:
1 is the answer as 0.5 +0.5=1
haha help me be brainiest
Answer:
0.5+0.5=1
hahaha
it's so easy
What is the next three numbers in pattern?
3,9,4,16,5,25,
Answer:
3, 9, 4, 16, 5, 25, 6, 36, 7
GIVE ME THE CORRECT ANSWER I THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System of equations
Solve by substitution:
y = x + 7
2x + y = -5
Group of answer choices
(4 , -3)
(4 , 3)
(-4 , 3)
(-4, -3)
Answer:
C: (-4,3)
Step-by-step explanation:
2x+x+7=-5
3x+7=-5
3x=-12
x=-4
y=-4+7
y=3
(-4,3)
PLEASE HELP ME~!!!!!!!
Answer: y= 5x + 3
Step-by-step explanation:
Lol literally so easy when you understand it so:
the formula for slope intercept form is:
y= mx + b
in this case just plug in the values
hope this helps ;)
also can I get brainliest pls?
Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.
Answer:
We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10PLZ HURRY
Which linear function has the steepest slope?
Answer:
The chart has the steepestt slope
Step-by-step explanation:
The graph has a slope of -3 since it is falling
ANd the table gets you a slope of 1
1>-3
So the table/chart has the steeper slop
Jessica locates her garden using a coordinate grid with yards as the units. The two points
(-5, -2) and (-8, -3) represents the two corners of the garden. Approximately how far
apart are the two corners?
Answer:
These two corners are [tex]\sqrt{13}[/tex] units apart.
Step-by-step explanation:
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Approximately how far apart are the two corners?
We have to find the distance between the points (-5,-2) and (-8-3). So
[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]
These two corners are [tex]\sqrt{13}[/tex] units apart.
Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because 8x6 gives you the same figure.
Step-by-step explanation:
Wei writes down 5 numbers.l She starts with 12. She uses a pattern to write the other numbers
12,18,24,30,36
A.Add 6
B.Add 8
C.Add 4