Answer:
The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is: [tex]y = 2x+5[/tex]
Step-by-step explanation:
Given equation of line is:
y = 2x + 7
The general form of equation in slope-intercept form is:
[tex]y=mx+b[/tex]
Here m is the slope and b is the y-intercept
Comparing the equations, we get
m = 2
Let m_1 be the slope of line parallel to given line
[tex]m_1 = m\\m_1 = 2[/tex]
The equation of line parallel to given line will be:
[tex]y=m_1x+b[/tex]
Putting the value of slope
[tex]y = 2x+b[/tex]
To find the y-intercept, putting (-1,3) in the equation
[tex]3 = 2(-1)+b\\3 = -2+b\\3+2 = b\\b = 5[/tex]
The equation is:
[tex]y = 2x+5[/tex]
Hence,
The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is: [tex]y = 2x+5[/tex]
Find the length of leg a in a right triangle with leg b= 4 and hypotenuse C =5
Answer:
Leg A = 3
Step-by-step explanation:
You use the equation A squared plus B squared equals C squared. Then, you substitute the value that you have, so the equation would be a squared plus 3 squared equals 5 squared. Next, you square the two values to make the equation a squared plus 16 equals 25. After that, you subtract one of the values (which in case is 16) on both that leg value and the hypotenuse, so you are left with A squared equals 9. Finally, you square both 9 and A squared and you are left with A = 3. I hope that helps you understand it clearly!
what is the smallest number of integer kilogram weights needed to weigh every whole kilogram between 1kg and 40kg?
9514 1404 393
Answer:
4
Step-by-step explanation:
We assume you are using a balance, and that weights can be put in either pan. In that case, weight values can be either added or subtracted, so there are 3 possibilities for the contribution each weight makes. In other words, we need to find how many digits are required to count to 40 in base 3.
The largest 3-digit number in base 3 is ...
3^2 +3^1 + 3^0 = 13 (base 10)
The largest 4-digit number adds 3^3 = 27 to this: 27 +13 = 40.
Hence, we can weigh values 0 to 40 using 4 weights, of sizes 1, 3, 9, 27.
__
Some example weights are ...
5 = 9 - 3 - 1
38 = 27 + 9 + 3 - 1
where the "negative" weights are placed in the same pan as the unknown.
In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is
Answer:
[tex]a_5=-12[/tex]
Step-by-step explanation:
Given that,
The first term of the sequence, a = 8
Common difference, d = -5
We need to find the fifth term of the sequence.
The nth term of the sequence is given by :
[tex]a_n=a+(n-1)d[/tex]
Put n = 5, a = 8 and d = -5 in the above formula
[tex]a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12[/tex]
So, the fifth term of the sequence is -12.
What percent is equivalent to 20?
O 5%
O 6%
O 20%
O 25%
Answer:
5%. creo que es la respuesta más correcta.
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
Option 1 I took the test
Step-by-step explanation:
on
Quinn has $31,700 in a savings
account that earns 7% annually.The
interest is not compounded.How much interest will she earn in 3years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$
Answer:
she will earn $6,657 in interest in 3 years
Two of the angles in a triangle measure 51° and 25°. What must be the measure of the third angle?
Answer:
104°
Step-by-step explanation:
Angles in a triangle add up to 180.
so 180-51-25=104
Hope this helps!:)
Answer: 104°
Step-by-step explanation:
In a triangle, the total or the interior angles will always be 180°
51° + 25° = 76°
180° - 76° = 104°
Therefore, the answer is 104°
I hope this helps!
What is the slope of a line of best fit that has the points (20, 12) and (30, 6) on it?
Answer:
-6/10
I don't know if this is right so, sorry if its wrong.
What was the first public statement in support of the creation of a Jewish state?
A) The Treaty of Versailles in 1919.
B) The Conference of Berlin in 1884-85.
C) The Potsdam Declaration issued in 1945.
D) The issuance of the Balfour Declaration in 1917.
solve for t. 3t - 2= 11
Answer:
4.33 recurring
Step-by-step explanation:
do the inverse
11+2=13
13/3=4.33333
t=4.33333
please mark as brainliest<3
A sphere Is properly defined as a ball.
true or false
Answer:
A sphere has the same shape as a ball so yes.
In ABC, what is the value of x?
Pls hurry im on a time limit here
Answer:
70
Step-by-step explanation:
By exterior angle theorem:
[tex](2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70[/tex]
help me out as soon as possible. lmk if you can’t see the photo
Answer:
a.
Step-by-step explanation:
Answer:
SO SHE MADE IT X okay teacher i got u- soooo that x8 because the x stands for 9 inside my math script. and if you make 100 and - 99 ur answer would be 1k
Step-by-step explanation:
Amanda had 4 pages of math makeup work and 6 pages of reading homework to makeup. If each page for math and reading had 4 questions on it, how many questions did she have to complete in all
Answer: 40 questions
Step-by-step explanation:
There were 4 pages for math so she had:
= 4 * 4
= 16 math questions
There were 6 pages of reading so she had:
= 6 * 4
= 24 reading questions
In total she had:
= 16 + 24
= 40 questions
180-90-(3x+x). Find x
Answer: 90-4x
Step-by-step explanation:
You can only simplify this equation
Answer:
90-4x
Step-by-step explanation:
180-90-(3x+x)
90 -(4x)
90-4x
Find the future value if £1500 is invested for 5 years at 8.7% p.a.
Answer:
$2,152.50
Step-by-step explanation:
A = $2,152.50
I = A - P = $652.50
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8.7%/100 = 0.087 per year.
Solving our equation:
A = 1500(1 + (0.087 × 5)) = 2152.5
A = $2,152.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 8.7% per year for 5 years is $2,152.50.
Answer:
£2276.35
Step-by-step explanation:
1500 X (100+8.7/100)^5
Solve 4+g≥3 or 6g≥−30. HURRY PLEASE
Answer: g>_-5
Step-by-step explanation:
The inequality g ≥ -5 represents the solutions to the compound inequality.
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is a mathematical equation and expression?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.We have the following inequality -
4 + g ≥ 3
6g ≥ - 30
We can write -
4 + g ≥ 3
g ≥ -1
and
6g ≥ - 30
g ≥ - 5
Therefore, the inequality g ≥ -5 represents the solutions to the compound inequality.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
1/4 of the 5th graders are on the school drill team. 2/3 of the 5th graders drill team members are boys. What fraction of the 5th graders are boys on the drill team?
–15b + 2b − –7b = –12
Step-by-step explanation:
[tex]\tt{ -15b+2b-(-7b)= -12 }[/tex] ⠀
[tex]\tt{-15b+2b+7b=-12 }[/tex] ⠀
[tex]\tt{-15b+9b=-12 }[/tex] ⠀
[tex]\tt{ -6b=-12 }[/tex] ⠀
[tex]\tt{b=\dfrac{-12}{-6} }[/tex] ⠀
[tex]\tt{ b=2 }[/tex] ⠀
Answer:
b=2Step-by-step explanation:
-15b+2b-(-7v)=-129b-15b=-12-6b=-12b=-12/-6b=2Help
Solve by completing the square.
x2 + 14x – 51 = 0
Answer:
x=3, x= -17
Step-by-step explanation:
Given c= -15 and d
-22, what is c - d?
Look at the picture it has the questions and answers please help!
Answer:
Y=2.2
Step-by-step explanation:
BECAUSE OF THE MULTIPLES
Classify the following triangle. Check all that apply.
O A. Equilateral
O B. Right
D C. Acute
OD. Obtuse
O E. Isosceles
DF. Scalene
Answer:
A and C
Step-by-step explanation:
please help am trying to turn this work in
Answer:
Angle 3 will be 30 degrees
Step-by-step explanation:
vertical
Answer:
30 degrees
Step-by-step explanation:
Intersecting lines form vertical angles and vertical angles are congruent
Find the slope of the line that passes through
(4,6) and (6,4) *
-4
1/4
3
-1
Answer:
m= -1
Step-by-step explanation:
You solve slope by using y2-y1/ x2-x1 so,
4-6/6-4
=-2/2
= -1
Find the missing side length of this right triangle
Answer:
131
Step-by-step explanation:
All triangle sides must add up to 180.
Answer:
41
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]40^{2} +9^{2} =c^{2}[/tex]
[tex]1600+81=c^{2}[/tex]
[tex]1681=c^{2}[/tex]
[tex]\sqrt{1681} = \sqrt{c^2}[/tex]
41=c
c=41
read each problem carefully and solve as required then answer the questions that follow
Answer:
Step-by-step explanation:
1) Number of children = c
Number of adults = a
Total ticket = 250
c + a = 250 -------------------(I)
Cost of 'c' children tickets = 200c
Cost of 'a' adult tickets = 450a
Total cost = 76000
200c + 450a = 76000 ------------------(II)
Multiply (I) by (-200) and then add
(I)*(-200) -200c - 200a = -50000
(II) 200c + 450a = 76000
250a = 26000
a = 26000/250
a = 104
Plug in a = 104 in equation (1)
c + 104 = 250
c = 250 - 104
c = 146
2)Number of children = 146
Number of adults = 104
what goes in the white empty boxes? and what did you multiply or divide? HELP!!!
Answer:
1=8
2=16
5=40
6=48
10=80
12=96
Step-by-step explanation:
you have to multiply by 8 with the left numbers and you divide by 8 with the right numbers
20 points to answer a estimate question
Answer:
The total cost = $714
Step-by-step explanation:
Given
Monitor cost = $287Scanner cost = $58Keyboard cost = $49Printer cost = $320The total cost can be determined by adding the costs of all the pieces of equipment.
Thus,
Total cost = Monitor cost + Scanner cost + Keyboard cost + Printer cost
= $287 + $58 + $49 + $320
= $714
Therefore, the total cost = $714
What is 8/5 divided by 7/8
Answer:
64/35
Step-by-step explanation:
8/5 ÷ 7/8
~Copy Dot Flip
8/5 * 8/7
~Multiply
64/35
Best of Luck!
Answer:
1 29/35
Step-by-step explanation:
8/5×8/7=64/35
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