4x-5y+2x+4+6+9y+7x+2
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Which statements regarding the vertex of a quadratic function are true? Select all that apply.
Answer:
the rules regarding the vertex of a quadratic function are:
the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Hope This Helps!!!
rewrite the following linear equations in general form
can someone help explain how to do this?
Answer:
5y = x +15
Step-by-step explanation:
here you have to multiply both sides with 5 to make it a general form ,
5(y) = 5(1/5x) + 5(3)
5y = x + 15
Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.
Hope this helps. :)
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinates of the point N is (2,3)
Step-by-step explanation:
For us to find the midpoint between two points
We use the midpoint formula which is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
We start by finding the midpoint of AB to get the coordinates of the point M
A(-1,3) and B(7,-3)
(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)
Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N
C(1,6) and M (3,0)
(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
Name each polynomial
4m^2-5m+6
18s-7
6p^3
Answer:
Quadratic function
linear function
cubic function
Step-by-step explanation:
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
Find the lengths of the missing pieces of the triangle. (Picture attached). Thank you!!
Step-by-step explanation:
my answer is in the image above
Answer:
I've attached the Answer here
Does someone know what the answer is? Please, help.
Answer:
III
Step-by-step explanation:
you got this, man! good luck [:
find the next two terms. & choose the correct type of sequence.
Answer:
why arent you doing the quiz yourself do it yourself thats cheating.
Step-by-step explanation:
Ariana rode the bus 5 3/8 miles to the mall. Then she got back on the bus and ride 2 3/4 miles to her friends house and then another 6 1/12 miles back to her house. What is the total distance, in miles that ariana rode the bus
Answer:
14 5/24
Step-by-step explanation:
Ariana's rode the bus 5 3/8 miles to the mall
She rode 2 3/4 miles to her friends place
Then she rode anrhe 6 1/12 miles back home
Therefore the total distance can be calculated as follows
= 43/8 +11/4 + 73/12
= 5456/384
= 341/24
= 14 5/24
Hence the total distance is 14 5/24 miles
The formula below gives the area of a semi-circle, A, with a radius of r.
Solve the formula for the radius
The area of a semicircle with respect to radius is √2A/π sq. units.
What is a semicircle?A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.
The area of a semicircle = π × radius² / 2
So, the area with respect to radius will be =
A = π × radius² / 2
2A = π × radius²
2A / π = radius²
Radius = √2A/π
Hence, the area of a semicircle with respect to radius is √2A/π sq. units.
Learn more about semicircles, click;
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Find the H.C.F of the following expressions.
1) 16x⁴ - 4x² - 4x - 1 , 8x³ - 1
2) 9x² - 4y² - 8yz - 4z² , 4z² - 4y² - 9x² - 12xy , 9x² + 12xz + 4z² - 4y²
3) x² - 18x - 19 + 20y - y² , x² + x - y² + y , x² - y² + 2y - 1
Irrelevant / Random answers will be reported !!
Step-by-step explanation:
Hey there!
Please look your required answer in pictures.
Hope it helps!
please help me
No guess
Answer:
C. -7 or C. Negative seven
You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *
Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
Answer the questions relating to the bar graph in the image.
Answer:
1. 20 degrees celsius
2. 24 degrees celsius
3. decreased
4. 6am
5. 10am
Step-by-step explanation:
Help please ASAP ASAP ASAP
Answer:
-3/2
Step-by-step explanation:
simply make y the subnext of the equation
Answer:
Step-by-step explanation:
3x - 2y = 18
-2y = - 3x + 18
y = 3/2 x - 9
slope of a parallel line would be M = 3/2
A kite is flying 96 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 63º. Find the length of the string. Round your answer to the
nearest tenth.
Answer:
107.7 ft
Step-by-step explanation:
the length of string = 96 /sin 63°
= 107.7 ft
Please help!
A circle is defined by the equation below:
x^2 + y^2 - x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
Step-by-step explanation:
We know that the equation of a circle is:
(
x
−
a
)
2
+
(
y
−
b
)
2
=
R
2
where a and b are the coordinates of the center, and R is the radius.
So in this question we have to complete the squares:
x² + y² - x - 2y - 11/4 = 0 ->
x² - x + 1/4 + y² - 2y = 11/4 +1/4 ->
(x - 1/2)² + y² - 2y + 1 = 12/4 + 1 ->
(x - 1/2)² + (y - 1)² = 4
Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2
x² + y² - x - 2y - 2³/₄ = 0
x² + y² - x - 2y = 2³/₄
x² - x + y² - 2y = 2³/₄
(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4
(x - 1)² + (y - 2)² = 7³/₄
The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).
if G is the number of seconds that a traffic light says green and n is the average number of cars in each lane per light cycle, then the relationship would be G= 2.1n + 3.7
if the light stays green for 70 seconds then how many cars can cross the intersection in one cycle?
(linear equations)
Answer:
31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.
Step-by-step explanation:
70=2.1n+3.7
70-3.7=2.1n
66.3=2.1n
66.3/2.1=n
31.57=n
Help me with this question too
Answer:
The one on the right
Step-by-step explanation:
Because it is 4 then 3
Answer:
the second one (the one to the right)
Step-by-step explanation:
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base? 46 = one-third (B) squared (800) 46 = one-third (B) (800) 800 = one-third (B squared) (46) 800 = one-third (B) (46)
Answer:
800 = 1/3(B)(46)
Step-by-step explanation:
Volume of a cone is [tex]1/3pir^2h[/tex]
we can set up an equation where V = 1/3pir^2h
Knowns :
V = 800
h = 46
Plug the knowns into the equation
800 = 1/3(pir^2)(46)
pir^2 is the area of a circle, which in this case is B
hope this helps
The equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that circular cardboard piece is needed for the base of a volcano model.
The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters.
We have to find the equation which can be used to find the area of the circular base.
Volume of a cone is 1/3πr²h
V= 1/3πr²h
Plug in the values of volume and height in the above formula
V = 800
h = 46
800 = 1/3(πr²)(46)
Hence, the equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
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PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Estimate the perimeter and area of the figure to the nearest whole number. Please help!!
Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
[tex]\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}[/tex] = 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units
Which expression is equivalent to (q6)2
Answer:
q¹²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
(q⁶)²
Step 2: Simplify
Exponential Rule [Powering]: q⁶⁽²⁾[Exponents] Multiply: q¹²Answer :
q¹²
step-step explanation:( q⁶)²
( use exponent rule ) multiply the exponents
q⁶ × ²
q¹²
3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?
How do I solve this?
Answer:
Step-by-step explanation:
First, let's find the area of the triangle. The Area of a triangle can be modeled as
b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24
To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16
16pi= approximately 50.24
50.24/2= 25.12
25.12 + 16 = 41.12
The area of the figure is approximately 41.12 ft^2
Hope this helps and please mark me brainliest, it really helps!
:)
Answer:
49.12 ft²
Step-by-step explanation:
The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.
Area of semi-circle = (πr²) ÷ 2
= (3.14 × 4 × 4) ÷ 2
= 50.24 ÷ 2
= 25.12 ft²
Area of triangle = [tex]\frac{1}{2}[/tex]bh
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 ft²
Area of compound figure = Area of semi-circle + Area of triangle
= 25.12 + 24
= 49.12 ft²
Chef Antonio works at a Latin restaurant and doing a great job. During his yearly evaluation, the owner increased his salary from $42,500 to $46,000. What is the percent of increase, to the nearest whole percent, in Chef Antonio's salary?
Answer:
8%
Step-by-step explanation:
To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.
To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent
Pls help me with this equation
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
