Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals.
If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
~~~~~~~~~~~
6x - y = 7 ⇔ y = 6x - 7
Slope of given line is 6
Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]
( - 6, - 1 )
y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)
y = [tex]-\frac{1}{6}[/tex] x - 2
In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?
Answer:
The measure confirming that PQRS would be 25
Step-by-step explanation:
It's easier if you draw it down.
1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.
\
155 \
P \ -------------------------\ Q
\ 25 \
\ \ so that's your shape
S \______________\ R
2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.
3. As mentioned before, in a parallelogram, opposite angles are the same and therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.
A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
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What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
Please help me thank yiuuu:)
what’s the answer and how did you get it? i’m confused
Answer:
The answer is 3.
Step-by-step explanation:
Because you should put the gh with gh, 2 is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.
Answer: The given expression is 8g^2h-7gh+2
The degree of 8 g^2 h is 2, 1
The degree of - 7 g h is 1
The degree of 2 is 0
But the degree of expression will the highest degree of the indivisual expression of above i.e 3.
The answer is 3.
if 2t2 eqauls 4 then wah t is 2t4
Can I get some help plz thank u sm
Answer:
x = 72
hope it helps
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is X+3y=-15
Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
Find the missing angle
Hey there!
31 is the answer
You simply do 96 - 65 = 31
Hope it helps and have a great day!
1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle
Answer:
algebra
Step-by-step explanation:
using algebra form an equation than solve for the variable keep in mind u have to square it
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in
Answer:
c
Step-by-step explanation:
A rectangular prism has a length of 9 centimeters, a width of 4 centimeters, and a height of 2 centimeters.
What is the volume of the prism?
Answer:
It will be 72cm
Step-by-step explanation:
Volume of a rectangular prism = (length x width x height) cubic units.
9x4x2=72
find the estimates of x^2-x-2=3
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
please help! 30 points !!
Answer:
1. C
2. C
Step-by-step explanation:
1. 5x+12=57
Subtract 12 from both sides
5x=45
Divide both sides by 5
x=9
2. 7-4x=12-3x
Combine like terms =
-4x+3x=-12-7
x=-12-7
x=19
Solve for x
35 = 5(x + 9)
X =
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
https://brainly.com/question/27848509
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pt 2 pls help me with math
Answer:
Step-by-step explanation:
Slope = (6-3)/(2-1) =3
help me fast for brainiest!
Please please help! Will mark brainliest!
Answer:
-
Step-by-step explanation:
What is the origin of algebraic expresions plz
PLEASE HELP URGENTLY I WILL MARK BRAINLIEST!!
Answer:
-99
Step-by-step explanation:
An integer is a whole number...no fractions, no decimals.
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?
A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00
Answer:
$143.10
Step-by-step explanation:
$159 (regular price) - 10% = $143.1 = $143.10
Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!
-Bee
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10