[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.
Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
y = -3x
Step-by-step explanation:
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches
IT IS NOT D, I TRIED IT AND IT DOESNT WORK!
or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
In the equation, y=3x+2, is the point (2,8) a solution the equation?
1: Yes, the point is solution
2: No, the point is not a solution
Answer:
Given: The equation of the line y = 3x+2
The condition for a point to be on a line is to satisfy its equation
(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation
3 = 3(1/3) + 2
= 1 + 2
= 3
Hence, (1/3, 3) lies on the line
(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation
8 = 3(2) + 2
= 6 + 2
= 8
Hence, (2, 8) lies on the line
(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation
2 = 3(0) + 2 = 2
Hence, (0, 2) lies on the line(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation
19 = 3(7) + 2
= 21+ 2
= 23 ≠ 19
hence, (7,19) doesn’t lie on the line• Therefore ,Yes the point is a solution .Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!what is negative 6 + 5 and 1/4?=
Answer:
negative 0.75
Step-by-step explanation:
negative 6 + 5 is negative 1
divide 1/4 wich is 0.25 then
0.25 + negative 1 is negative 0.75
Name an example of a real life use of the sine graph.
Answer:
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
im sorry if its wrong I just search this :)
Can someone Please help me on this easy math problem
Answer:
114
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jdebh
jejeu
Determine which relation is a function.
Question options:
{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}
{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}
{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}
Answer:
the correct answer is option ( C )
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?
Answer:
706.5
(there is no hundredths place)
Step-by-step explanation:
r=15
a= pi × r²
3.14×15²
15²=225
3.14×225=706.5
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
) Kora is working on a scrapbooking project. She buys packages of stickers at two different stores.
The price of the stickers at each store is p dollars, but each store offers a different discount
Discount on Packages of Stickers
• Which expression represents the total price Kora
pays for 5 packages of stickers at Store A and
3 packages of stickers at Store B?
3{p - 100) + 512 -0.75) 5(p+1.00 +3(p+0.75)
Store A $1.00 off each package
Store B $0.75 off each package
5(p - 1.00) + 3(p -0.75)
3(p+1.00) + 5(p +0.75)
The expression that can be used to represent the total price is 3(p - $0.75) + 5(p - $1).
The expression that can be used to determine the total amount spent in store A is:
number of stickers bought x ( price of the item - discount) number of stickers bought = 5 price of the stickers = p discount = $15(p - $1)
The expression that can be used to determine the total amount spent in store B is:
number of stickers bought x ( price of the item - discount) number of stickers bought = 3 price of the stickers = p discount = $0.753(p - $0.75)
Total price = 3(p - $0.75) + 5(p - $1)
A similar question was solved here: https://brainly.com/question/25717996
Please find attached an image with the complete question.
Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?
Answer:
27
Step-by-step explanation:
2 x 9 = 18 so
3 x 9 = 27 so that means its 27
Find the EXACT distance between the two points.
(9, 31) and (12, 25)
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.
and so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a, b being the legs.
so,
the x difference is 9-12 = -3
the y difference is 31-25 = 6
therefore,
distance² = (-3)² + 6² = 9 + 36 = 45
distance = sqrt(45) = 6.708203932...
Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.
Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
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PLEASEEE HELPPP!!!!!
Answer:
-5+.3
Step-by-step explanation:
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Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?
Answer: $53.50 ?
Step-by-step explanation:
What angle are these?
Answer:
Corresponding Angles and Alternate Exterior
Step-by-step explanation:
The angles are corresponding if same side in a parallel.
This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.
For the other problems if they are opposite sides from one another.
They are called alternate exteriors.
help po plsss !!!!!!!
Answer:
q2 =is tens
q4 is ones
q5 is tens
q8 is ones
q9 is tens
Step-by-step explanation:
I am not sure for these answers
q1 is hundreds
q3is hundreds
q7 is thousands
more I don't know
Answer:
1) Tenths
2) Hundredths
3) Tenths
4) Thousandths
5) Hundredths
6) Tens
7) Tenths
8) Ten Thousandths
9) Ten Thousandths
10) Tenths
1) 0.84
2) 0.7
3) 0.5
Brainliest would be appreciated. :-)
In the equation 2x + 3y = 19, what is the constant?
Answer:
19
Step-by-step explanation:
The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.
_____
Additional comment
In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
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PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
which graph appears to show a proportional relationship between x and y
Answer:
What graph?
Step-by-step explanation:
No wonder why you have been waiting 25+ mins to get an answer
Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y
please tell me the answer and explain how you got it thanks
Answer:
Below in bold.
Step-by-step explanation:
Use the elimination method:
a. x + y = 23
x - y = 7
b. Adding the 2 equations eliminates y, so we have
2x = 30
x = 15.
Substitute x = 15 in equation a:
15 + y = 23
y = 23 - 15
y = 8.
Answer x = 15, y = 6.
Step-by-step explanation:
this is what you are told in the problem
x+y=23............1 (the sum)
x-y=7.................2 (the difference)
PS make sure to number your equations
in equation 1 we can take x over so that we form a new equation labelled equation 3
y=23-x...........3
sub 3 into 2
x-(23-x)=7
x-23+x=7
2x=7+23
2x=30
x=15.........4
sub 4 into 1
15+y=23
y=23-15
y=8
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
-3 * a number j equals -120
Answer:
j = 40
Step-by-step explanation:
"-3 * a number " means -3j
"equals -120" means = -120
-3j = -120
j = 40
Find the slope given the the two points
Answer:
the answer is 2
Step-by-step explanation:
use the slope equation
y^1-y^2/x^1-x^2
-1-(-5)/1-(-1)
4/2
2
Write the number for twenty-six million seven hundred thousand.
Answer:
The answer is 26,700,000
Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answer:
[tex]y=10x+24[/tex]
Step-by-step explanation:
Find the derivative of the function
[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]
Determine the slope of p(t) at t=3:
[tex]p'(3)=6(3)-8=18-8=10[/tex]
Find p(3):
[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]6=10(3)+b[/tex]
[tex]6=30+b[/tex]
[tex]-24=b[/tex]
Final equation:
[tex]y=10x-24[/tex]
If and , find .
A.
B.
C.
D.
Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678
Step-by-step explanation: