1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
Group of answer choices
24
25.7
28.1
29.8
Answer:
b i think
Step-by-step explanation:
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
please help stuck on this question
Answer:
C) 30
Step-by-step explanation:
As, angle 8 = 150°
So angle 6 = 30°
As, they are supplementry to each other
Now, Angle 5 + Angle 6 = 180°
So,as angle
So, Angle 5
Angle 5 + 30° = 180°
Angle 5 = 180° - 30°
Angle 5 = 150°
So therefore, Angle 5 = 150°
19 = 4x + 3 *
Plz, help me with this!
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
Please help it It is in photo
Answer:
its the second i hope that helped
–7 y = –28
Answer:
y = ?
Answer the ? Mark pls
Answer:
y=4
Step-by-step explanation:
-28 divided by -7 equals to 4
Hope this helps!!
Answer: y = 4
Step-by-step explanation:
-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.
9 ,6 ,3, 0, -3, -6
b) Work out, in terms of n, the nth term of the sequence.
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?
Answer:
g(x) = - 3^xStep-by-step explanation:
Reflection over x-axis results in:
f(x) → - f(x) translationTherefore the new function is:
g(x) = - 3^x4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
HELP Help Please
The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.
Answer:
l × b is the correct answer for this question
Estimate the difference
2.8/9 - 2. 7/1
A. 2
B. 1
C. 0
Answer:
C. 0
because 2.8/9 <1
and 2.7>1
so 2.8/9 -2.7 <_ 0
yall please help me with this math question :/
Determine whether or not the function is linear or nonlinear.
Answer:
Nonlinear
Step-by-step explanation:
This line is not straight so it's not linear.
Linear is a straight line.
nonlinear is any line that's not straight.
Ace Carlos
can someone help me asap please
Answer:
Here you go. It is really easy. All you have to do is translate the points. If it says translate 3 units up, you'd pick a point, and move it up 3 units. Then do it with all the others and BOOM! You did it! Try one of the problems yourself to make sure you understand what to do next time.
Have a nice day!
If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?
Answer:
$3.04 (rounded to nearest cent)
Step-by-step explanation:
Total cost without tax = $18 + $9.99 × 2
= $37.98
Tax = [tex]\frac{8}{100}[/tex] × $37.98
= $3.04 (rounded to nearest cent)
Evaluate 6x - 4y when x = 5, y = 2
Answer:
22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right
Step-by-step explanation:
6.x=
6.5=30
4.y=
4.2=8
6.5=30 4.2=8
30-8=22
Please help me I'm really confused on how you figure these out
Answer:
i think it is not related
Step-by-step explanation:
hope this helps <3
HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
does the graph represent a function?
The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units
Answer:
7 units
Step-by-step explanation:
Given is a 45°-45°-90° triangle.
Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.
In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.
[tex] \therefore \: measure \: of \: one \: leg \\ \\ = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \\ = 7 \: units[/tex]
Answer:
A. 7 units 2021 edg
Step-by-step explanation:
Can i have some help please
Answer:
bababooey
Step-by-step explanation:
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
What is true about 3×9, guys can you help I a little confused
Answer:
27
Step-by-step explanation
have a great day
Answer:
3*9=27
Step-by-step explanation:
The thing that is true about 3*9 is that it is also equal to 9*3.
Hope this helped!! :)
Express in the form n : 1
9:3
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
15/9 into simplest form will give brainlest
Answer:
1 6/9
Step-by-step explanation:
9 can only go into 15 once. So 15 - 9 = 6. 6 goes on top of the 9 and you get your answer of 1 6/9
5x-3 =2x+15
Someone pls help for geometry
Answer:
x = 6
Step-by-step explanation:
5x-3 = 2x+15
i) move 2x to the left-hand side and change its sign5x-2x-3 = 15
ii) move -3 to the right-hand side and change its sign5x-2x = 15+3
iii) collect like terms3x = 15+3
iv) add the numbers3x = 18
v) divide both sides of the equation by 3[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]
[tex]x = 6[/tex]
1. An initial population of 10 cats triples every year. How many cats will there be in 5 years? Make a table and
graph your results.
Answer:
150
Step-by-step explanation:
file is graph