keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]
can anyone help with this? i dont know it
Mrs. Martinez is making a stained-glass
window. She wants to make a triangular pane
having side lengths a = 12 in. and b= 16 in. If
m
panes can she make?
Answer: They have raised $100 for the materials for the project. The colored glass costs $5 per square foot and the clear glass costs $3 per square foot.
Step-by-step explanation:
QUICK PLSSS im bout to be grounded
Answer:
35
Step-by-step explanation:
check whether (x-1) is a factor of 2x²-3x+1 or not ................
Answer:
(x - 1) is a factor of 2x² - 3x + 1
Step-by-step explanation:
Method 1
If (x - 1) is a factor of f(x) = 2x² - 3x + 1 then f(1) = 0
Substitute x = 1 into the equations:
f(1) = 2(1)² - 3(1) + 1
= 2 - 3 + 1
= 0
Therefore, (x - 1) is a factor of 2x² - 3x + 1
Method 2
Factor 2x² - 3x + 1
Find 2 two numbers that multiply to 2 and sum to -3: -2 and -1
Rewrite the coefficient of the middle term as the sum of these 2 numbers:
⇒ 2x² - 2x - x + 1
Factorize the first two terms and the last two terms separately:
⇒ 2x(x - 1) - 1(x - 1)
Factor out the common term (x - 1):
⇒ (2x - 1)(x - 1)
Thus proving that (x - 1) is a product of 2x² - 3x + 1
help plea i am beg screenshot in
Answer:
SA = 105 in^2
Step-by-step explanation:
To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.
Area of a triangle:
A = 1/2b•h
= 1/2• 5 • 8
= 1/2 • 40
= 20
One triangle has area 20, so times by 4 (bc four triangles)
4•20
= 80
Area of square 5•5
= 25
Add the areas:
80 + 25
= 105 sq in
pleae awnser :))) hhoh
Answer:
the answer will be
K' = -9, 5
L' = 0,5
M' = -8,3
Step-by-step explanation:
the x axis is written first and the y axis is written after that.
hope it helps!!
PLEASE MARK BRAINLIEST !!..
Answer:
K': (9,5)
L': (0,5)
M': (8,3)
Step-by-step explanation:
Tell me if im wrong!
If m8=23, find each measure. Give your reasoning
The measure of each angle and their reasoning are explained for all in the explanation below.
We are given that;
m∠8=23°
a). From the given image, we see that;
m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;
Thus; m∠1 + m∠8 = 180°
m∠1 = 180° - m∠8
m∠1 = 180 - 23
m∠1 = 157°
b). We see that m∠1 and m∠2 are angles that form a straight line.
Sum of angles on a straight line equals 180°. Thus;
m∠1 + m∠2 = 180°
m∠2 = 180 - 157
m∠2 = 23°
c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus
m∠3 = m∠1
Thus; m∠3 = 153°
d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus
m∠4 = m∠2
Thus; m∠4 = 23°
e). We see that m∠5 and m∠1 are corresponding angles and are therefore equal. Thus;
m∠5 = m∠1
m∠5 = 157°
f). We see that m∠6 and m∠8 are vertically opposite angles and as such;
m∠6 = m∠8
Thus, m∠6 = 23°
g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;
m∠5 = m∠7
m∠5 = 157°
About 2% of the students at a college with a population of 9,000 students have significant vision impairments. A polling organization took a random sample of 800 of these students. is the 10% conditon met?
Yes, 10(800) = 8,000, which is less than the total population
Yes, 10% of 800 = 80, which is less than the total population
No, 10(9,000) = 90,000, which is more than the sample
No, 10% of 9000 = 900, which is more than the sample
Answer:
total population: 9,000
10% of 9,000= 900 students
they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A
How would logx (49) = x look like in exponential form
I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]
If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]
This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]
For both equations, the 'b' is the base.
How many edges does this shape have?
Answer:
8 Edges.
Imagine a cardboard box. The top has four edges and the bottom of it has another four.
Answer:
8
Step-by-step explanation:
count top edges then multiply by 2
Write a quadratic equation that has only one real-number solution
The equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
If the quadratic equation has only one solution, then
[tex]\rm b^2 - 4ac = 0[/tex] or
[tex]\rm b^2 = 4ac[/tex]
[tex]\rm x = \dfrac{-b}{2a}[/tex]
2ax = - b
(2ax+b) = 0
(2ax+b)² = 0 (square on both sides)
[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]
Thus, the equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
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Mr harris wants to know if the new tardy policy is effective how can he find out without using a biased survey
f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)
a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5
Answer:
First step is to plug in the given values :[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]
Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]
Collect like terms[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]
[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]
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I swear this always stress me out can someone help me
The approximate perimeter of the given shape is; 33.70cm.
What is the approximate perimeter of the shape?It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;
Curves surface = 3.14 × (10/2) = 15.70cmThe perimeter of thee other three sides is; 4 + 4 + 10 = 18cmThe perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.
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pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.
The expected value of the defective skateboard will be 4/25. Then the correct option is B.
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table, etc.
The table is shown below.
Then the expected value of the defected skateboard will be
p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100
p = 1/20 + 2/25 + 3/100
p = 5/100 + 8/100 + 3/100
p = 16/100
p = 4/25
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Kenzie is looking for a __ job. She would most likely be paid __
Answer:
Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.
Step-by-step explanation:
A child is playing a card game where, if she does not
have a red card in her hand, she must draw cards from
the deck, and keep the cards she draws, until she
draws a red card.
is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
o yes, the geometric distribution is appropriate.
o no, since each trial is not independent of the other
trials
o no, because it is not looking for the first occurrence
of success.
o no, since a success and failure on each trial cannot
be defined
The probability of choosing the red card will be 0.03%
What is probability?
In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.
Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is
P(A∩B)=P(A)*P(B)
Now, there are 13 diamonds and 39 other cards. Hence,
P(A)=(13/39)⁷=0.1335
After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,
P(B)=0.25
Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)
Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%
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17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.
Answer:
46.7
Step-by-step explanation:
Sp-Cp
$44-$30=$14
14/Cp x 100
= 14/30 x 100=46.66%
Ans= 46.7%
Proof
% x CP
46.66/100 x $30= $13.998
$13.998= SP-CP
Hope it helps
Jim's got profit percentage is 46.67%
What is profit percentage?Profit percentage is refer to "the amount of profit that has been incurred in terms of percentage".
According to the question,
Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.
In order to find profit percentage we have to use formula.
Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100
= [tex]\frac{(44-30)}{30}[/tex] × 100
= [tex]\frac{14}{30}[/tex] × 100
= 46.6667% ≈ 47%
Hence, Jim's got profit percentage is 46.67%.
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Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?
Answer:
3.2m
Step-by-step explanation:
First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!
Answer:
6 m.
Step-by-step explanation:
Remaining length = 18.4 - 6.4 = 12 m
So the length of each swing rope
= 12/2
= 6 m.
Freida has 12 red apples and 15 green apples. She is going to share the apples equally among 8 people and keep any extra apples for herself. How many apples will Freida keep for herself?
Answer: 3 apples
Step-by-step explanation:
Given:
12 red apples
15 green apples
8 people
Freida
..............................................................................................................................................
12 + 15 = 27
Since she is going to give the apples equally among 8 people,
27 / 8 = 3 remainder 3
Each of the 8 people will get 3 apples each.
Freida will get the remaining 3 apples.
The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of
luggage. The average weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to
find the number of passengers, p, the plane could carry.
A. 150p+1750 ≤2500; p ≤5
B. 150+1750p ≤2500; p ≤ 1.3
C. 150p-1750 ≤2500; p ≤ 28.3
D. 150p+2500 2 1750, p 2-5
Answer:
I think its A but not sure it's the one that makes the most sense though
What is f(4) for the function f(x) = 5x + 3?
What is the answer please?
Step-by-step explanation:
answer 3 is correct.
the result is clearly shifted (translated) and then enlarged (dilation).
the dimensions of the side lengths all follow the same scale factor (2).
in the figure below lines p and q are parallel. what do you notice? IREADY
100 points
Answer:
alternate interior anglesthe sameStep-by-step explanation:
The problem is concerned with angles 4 and 5, which lie between the lines given as parallel. They are on opposite sides of the line cutting across those parallel lines (the transversal), so they are ...
alternate interior anglescongruent__
Being congruent angles, their measures are ...
equalthe same_____
Additional comment
For questions like this, there are many descriptions that are true. It would be helpful to know the possible answer choices.
Are there real-world examples of both two- and three-dimensional figures?
if so what are they?
Answer:
yes
Step-by-step explanation:
because a shadow cab be expressed by a two dimension
Which is the x-intercept of the graph of the equation y=3x−9?
Can you help me with both questions ease? (ASAP)
Locate √13 √17 on number line. (Please step by step explanation or preferably done in notebook) I’ll mark brainless the best answer
Explanation:
Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.
Numbers provided:
√13 = 3.605551275 ≈ 3.61
√17 = 4.123105625 ≈ 4.12
Step by Step Solving:
The number 3.61 will be between 3.5 and 3.7The number 4.12 will be between 4 and 4.2Plot the points (circled area's):
Which of the following can be the third side of a triangle whose other two sides measure 8 inches and 10 inches
A) 17inches
B) 18inches
C) 19 inches
D) 20 inches
Evaluate the given expressions.
1. 6^4
2. 3^5
3. 4^3
4. 5^5
Answer:
1. 1296
2. 243
3. 64
4. 3125
