Answer:
D : y = 7x - 20
Step-by-step explanation:
let D be the line that passes through the points (4, 8) and (2, -6)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{8-(-6)}{4-2}=\frac{14}{2}=7[/tex]
Since the point (4, 8) lies on the line D then :
8 = 7 × (4) + b
then
8 = 28 + b
then
b = 8 - 28
= -20
Conclusion:
Since a = 7 and b = -20 then
D : y = 7x - 20
Point H is the circumcenter of triangle JKL.
Which must be true?
O FH ≈ DH
O JF ≈ JD
O JH ≈ LH
O KF ≈ LD
If H is the circumcenter of triangle JKL then true statement is JH ≈ LH.
What is Property of Circumcenter?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the triangle's sides. It is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.
The circumcenter is equidistant from the three vertices of the triangle.
This means that the distance from the circumcenter to each vertex is the same.
i.e., the distance of point H is equal from J, K and L.
Then, the length of each of is equal which is
JH = KH = LH
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What are the zeros of the quadratic function f(x) = 6x2 – 24x 1?
The zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
The given quadratic equation is:
[tex]6x^{2} -24x+1=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] where a≠0 is called a quadratic equation.
We know the solution of a quadratic equation [tex]ax^{2} +bx+c=0[/tex] is given by:
[tex]x=\frac{-b +\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-b -\sqrt{b^{2}-4ac } }{2a}[/tex]
So, the solution of the quadratic equation [tex]6x^{2} -24x+1=0[/tex] will be:
[tex]x=\frac{-(-24) +\sqrt{(-24)^{2}-4(6)(1) } }{2*6}[/tex]
[tex]x=\frac{12+\sqrt{138} }{6}[/tex]
[tex]x=\frac{12-\sqrt{138} }{6}[/tex]
Thus, the zeros or roots of the quadratic function f(x) = 6x² – 24x +1 were found with the help of the formula.
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Answer:
its the fourth one on edge D
Step-by-step explanation:
x=2+23/6 or x=2-23/6
Which is the graph of the linear inequality 2x – 3y < 12?Which is the graph of the linear inequality 2x – 3y < 12?
Answer:
(Check out the attachment)
Step-by-step explanation:
Your graph should look like this with the x-intercept = 6 and y-intercept = -4. Don't forget the dotted lines!
Good luck! :)
Answer:
to clarify its c :)
Step-by-step explanation:
A baker needs a total of 13 and one-third cups of flour to make four batches of cookies. how much flour, in cups, does she need for each batch of cookies? write and solve an equation to find the answer. startfraction 5 over 6 endfraction 3 and one-third 9 and one-third 12
Answer:
(b) 3 1/3 cups
Step-by-step explanation:
The amount of flour per batch is found by dividing the given amount of flour by the given number of batches.
__
(13 1/3 cups)/(4 batches) = (40/3 cups)/(4 batches) = (40/3)(1/4) cups/batch
= 10/3 cups/batch = 3 1/3 cups per batch
Help me please. How to prove this ?
[tex] \frac{ \cos(x) + \sin(x) }{ \cos(x ) - \sin(x) } = \tan(45 + x) [/tex]
Answer:
First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...[tex]\frac{tan~x+1}{tan~x-1}[/tex]
Include 45 as one of the parameters and correlate with tan.[tex]\frac{tan~x+tan~45}{tan~x-tan~45}[/tex]
Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, tan x + tan 45.Lastly, simplify, and you have the answer as tan(45 + x)Which of the following equations are true when you replace the unknown with the number 9?
Check all that are true.
? × 4 = 36
? ÷ 9 = 1
35 ÷ ? = 4
6 × ? = 46
27 ÷ 3 = ?
Answer:
it should be A D and C that should be it
Examine the following budget: monthly budget budgeted amount actual amount income wages $1000 $850 expenses car - gas, insurance food
The net income for the month will be equal to $ 95 -$115 .The term“income” generally refers to the amount of money, property, and other transfers of value received over a set period of time
What is income?
The term “income” generally refers to the amount of money, property, and other transfers of value received over a set period of time
Result for the Month
Income statement BDGT REAL
Income Wages $ 1.000 $ 850
Expenses Car - gas -$ 300 -$ 200
insurance Food & Personal Items -$ 75 -$ 200
Cell Phone -$ 75 -$ 85
College Savings -$ 300 -$ 220
Recreation -$ 75 -$ 200
Clothes -$ 80 -$ 60
Net Income $ 95 -$ 115
Modified Result for the Month.
Income statement BDGT REAL
Income Wages $ 1.000 $ 850
Expenses Car - gas -$ 300 -$ 200
insurance Food & Personal Items -$ 75 -$ 75
Cell Phone -$ 75 -$ 85
College Savings -$ 300 -$ 220
Recreation -$ 75 -$ 75
Clothes -$ 80 -$ 60
Hence the net income will be $ 95 $ 135
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Fred and Wilma are in the 33% tax bracket. Their joint taxable income is $205,375. If the first $16,050 is taxed at 10%, with the remainder at 33%, how much tax will they owe?
Answer:
$64,082.25
Step-by-step explanation:
$205,375-16,050=189,325
189,325×33% (or .30)=62,477.25
16,050×10% (or .10)=1,605
1,605+62,477.25=$64,082.25
Which expression is equivalent to (x2 +3x +5) (2x + 4)?
Answer:
Step-by-step explanation:
Hi! This obviously not a question but if you need help on homework contact me! I can help with the following subjects: Math, English and History
Answer:
i will
Step-by-step explanation:
thanks
Answer:
dam you cant help me with my subjects
Step-by-step explanation:
Written as a rate, 100 miles in 5 hours would be ____ miles per hour.
Answer:
it would be 20 miles per hour
Can someone please give me the answer to this?
Classify the triangle.
Answer:
This looks like an acute triangle
Step-by-step explanation:
This looks like an actue triangle because all of the sides look less than 90 degrees
Also you can use prossess of elemination:
It is not a right triangle because it does not have a 90 degree angle
it is not a obtude triangle because the angles do not look grather than 90 drgress
and this is not an equlateral triangle because the angles and not all the same.
So this leave acute triangle
How many solutions exist for the given equation? 12x 1 = 3(4x 1) – 2 zero one two infinitely many
An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
[tex]12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1[/tex]
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
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Find the volume of the sphere, round your answer to the nearest hundredth
Answer:
V≈3053.63 rounding would be v= 3054
Step-by-step explanation:
12. Find the volume of the cylinder. Use 3.14 for pi and round to the nearest tenth.
7 cm
2 cm
O 61.7 cm
O 110.7 cm
0 87.9 cm
O 114 cm?
Answer:
Volume of the cylinder is 87.9 cm³Step-by-step explanation:
Given that Radius of the cylinder is 2 cm and height is 7 cm. To find Volume of the Cylinder we will substitute the value of height and radius in given formula:
[tex] \\ \: \: \dashrightarrow \: \: { \underline{ \boxed { \pink{ \pmb{ \mathfrak{ Volume_{(Cylinder)} = \pi r^2h}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = 3.14 \times {(2)}^{2} \times 7 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \sf \: \: Volume = 3.14 \times 4 \times 7 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \sf \: \: Volume = 3.14 \times 28 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \: \: { \underline{ \boxed { \pink{ \pmb{ \mathfrak{ Volume = 87.9 \: {cm}^{3}}}}}}} \\ \\ [/tex]
Hence,
Volume of the cylinder is 87.9 cm³Step-by-step explanation:
Given :-
Height of cylinder :- 7cmBase diameter of cylinder :- 2cm , radius :- 1cmTo find :-
Volume of CylinderSolution :-
⇝ Volume of Cylinder = πr²h
⇝Volume = 3.14 × 1² × 6 cm³
⇝Volume = 18.84 cm³
A crate weighing 500 pounds was delivered to the gym & set on the floor. To
move it, we need to get a set of dolly wheels under the edge. If we use a 15 foot
pry bar to lift the edge and place a 12 high fulcrum back 2 feet from the box,
how much downward force will need to be applied to the bar to raise the crate?
The downward force that will be needed to be applied to the bar to raise the crate is 389.65N.
How to calculate the force?From the information given, we'll first need to find the length of BC. This will be:
BC = 15 - (✓2 + ✓1)
BC = 15 - ✓5
The weight of the box will be:
= mg = 500 × 32.174 = 16087.05ft/s²
The force will then be:
= (16087.05 × ✓5)/(15 - ✓5)
= 389.65N
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Hi! I was wondering if i got the right answer for this question?
I got 3301.2
answer:
i also got what u got 3301.2
what order do they go in?
put the numbers where they should go
NO ZIP FILES OR LINKS
Look at the following rules for two number patterns. Both patterns start with 40.
the patterns are
Pattern P: "Subtract 2"
Pattern Q: "Subtract 4"
the answers are: Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.
Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
what is -2(-6+-y) in expanded form
p.s. I'm only a 7th grader so this is 7th grade math
Answer:
2 mutiplyed by (y + 6)
Step-by-step explanation:
Pull out like factors :
-6 - y = -1 • (y + 6)
at the end:
0 - -2 • (y + 6)
Final result :
2 • (y + 6) !
What cartoon world do you wish you could live in for a week?
Answer:
Sponge-Bob, because that is the one I am the most familiar with.
Answer:
Voltron mainly because Keith is there and he’s so pretty. I’d like to give him some therapy too if possible and maybe make Klance possible .
a model of a skyscraper is 6 inches tall if the model is scale 1 inch : 200 feet, the skyscraper is ___ feet tall
Answer:
1200 feet
Step-by-step explanation:
6 inches times 200 feet = 1200 feet tall
Answer:1200
Step-by-step explanation:
oh no :c, i ment to put the first answer as a 5/5 but he is correct for me!
5. In a fruit basket if there are 2 dozen bananas out of which 5 are
rotten, find the percentage of bananas which are in good
condition?
Factor 6x4 – 5x2 12x2 – 10 by grouping. what is the resulting expression? (6x 5)(x2 – 2) (6x – 5)(x2 2) (6x2 5)(x2 – 2) (6x2 – 5)(x2 2)
The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
What is the factor of a polynomial?A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
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A school locker has a length of 1 ft a width of 18 in and a height of 2 and a half ft. What is the volume in cubic feet
Answer:
6,480
Step-by-step explanation:
1 ft = 12 in.
1 x 12
12
2.5 x 12
30
12 x 30
360 x 18
6,480
no pdf please or a image or link
Is 2/3 < 5/8? Help me with this
Answer:
No its 2/3 > 5/8
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as:
2/3 = 0.667
5/8 = 0.625
Then, we compare the two decimal numbers to get the answer.
0.667 is greater than 0.625. So 2/3 > 5/8
Answer:
No, 2/3 is bigger than 5/8
Step-by-step explanation:
If you convert 2/3 into a deciamal it is 0.666
and if you convert 5/8 into a decimal it is 0.625
therefore 2/3 is the bigger fraction and the statement is not correct.
Hope this helps!!!!
Notebooks cost $9, and package of dividers cost $1.50 per package. Which of the following could be used to determine c , the total cost of one notebook and n packages of dividers?
Answer:
c = 9 + 1.50
c = 10.50
Step-by-step explanation:
Which solid can hold more: a cylinder with a diameter and height of 6 inches or a square prism with side lengths of 6 inches?
Answer:
If two solids have the same height h and the same.cross-sectional area B at.every level then they have the same volume.So the volume of a right prism and.an oblique one of the same height and cross sectional area are same.
Step-by-step explanation:
hope this helps if not please let me now