Answer:
x = 16
Step-by-step explanation:
0=x^2-14x+46 is to be solved for x by completing the square. The first two terms, x^2 and -14x, are the incomplete square. We must find a term to add to, and then subtract from x^2 - 14x, so that we have a perfects square on the left and a negative number on the right:
x^2 - 14x = x^2 - 14x + (half of -14)^2 - (half of -14)^2 results in transformation of the original 0=x^2-14x+46 to
x^2 - 14x + 49 - 49 + 46 = 0, which simplifies to:
(x - 7)^2 - 3 = 0. We want to solve this for x.
To do that, rewrite (x - 7)^2 - 3 = 0 as (x - 7)^2 = 3, and then square both sides. We get:
x - 7 = 9, or x = 16
Answer:
x1=7-(square)3 x2=7+(square)3
Step-by-step explanation:
Swipe the sides of equation
Solve the quadratic equation ax^2+bx+c=0
Then using: x=((-)b+-(square)b^2-4ac):2a
Separate the solutions
Simplify
If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What would be the future value of this annual amount over 10 years, assuming an interest rate of 3 percent?
Two figures are similar. The ratio of the corresponding sides between the figures is 9 to 12 (9:12). Based on the ratio, which could be the scale factor used to dilate one figure to create the other?
Answer:
3/4
Step-by-step explanation:
9/12 = 3/4
(-625)+925+100+(-200)
Answer:
200
Step-by-step explanation:
-625 + 925 = 300
300 +100 = 400
400 +(-200) = 400-200
400-200 = 200
Factorise the following expressions :
Answer:
36x²+96xy+64y²
(6x)²+2×6x×8y+(8y)²
it is in formula of (x+y)²
:.(6x+8y)² or (6x+8y)(6x+8y)
What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Answer:
B) 81π units²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius of a Circle Formula: r = d/2
r is radiusd is diameterArea of a Circle Formula: A = πr²
Step-by-step explanation:
Step 1: Define
Diameter d = 18 units
Step 2: Manipulate Variables
Radius r = 18 units/2 = 9 units
Step 3: Find Area
Substitute in r [Area of a Circle Formula]: A = π(9 units)²[Area] Evaluate exponents: A = π(81 units²)[Area] Multiply: A = 81π units²Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below:
A - 35
B - 47
C - 51
D - 62
Answer:
C because to get y u do 180 - 57+61 than for x u do 180 - 62+67
Answer:
x=51
Step-by-step explanation:
y+57+61=180 linear pair
y=180-118=62
in triangle
x+y+67=180sum of interior angle of the triangle is 180
x+62+67=180
x=180-129=51
Work out the perimeter of a semicircle with radius 3cm.
give your answer in terms of pi
Answer:
(6 + 6π) cm
Step-by-step explanation:
2π(3) / 2 + 3x2
= (6 + 6π) cm
i need help finding the surface area of a right triangular prism.
Answer:
Surface area of the right triangular prism = 180 m²
Step-by-step explanation:
Surface area of the given right triangular prism = Surface area of triangular sides + Surface area of the rectangular surfaces
Surface area of the triangular sides = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(AC)[/tex]
By applying Pythagoras theorem in ΔABC,
BC² = AB² + AC²
(13)² = 5² + (AC)²
AC² = 169 - 25
AC = 12 m
Therefore, area of the triangular sides = [tex]\frac{1}{2}(5)(12)[/tex] = 30 m²
Area of the rectangular side with dimensions 5m × 4m,
= 5 × 4
= 20 m²
Area of the rectangular side with dimensions 13m × 4m
= 13 × 4
= 52 m²
Area of the rectangular side with dimensions 12m × 4m
= 12 × 4
= 48 m²
Total surface area of the prism = 2(30) + 20 + 52 + 48
= 180 m²
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
Eight times the reciprocal of a number equals 4 times the reciprocal of 9 .
Answer:
2/9
Step-by-step explanation:
Call the unknown number n
Therefore, we can express your question in the following manner
8 * n = 4 * 9
n = 36/8
But we know that n is a reciprocal of a number, so we need to flip the numerator and denomiator in n
Answer: 8/36 = 2/9
The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Answer:
side 1: 1.6
side 2: 2.3
side 3: 2.6
Step-by-step explanation:
side 1: 2x - 3
side 2: x
side 3: 2/3(x + 2x - 3) = 2x-2
(2x - 3) + x + (2x - 2) = 6.5
5x - 5 = 6.5
5x = 11.5
x = 2.3
side 1: 1.6
side 2: 2.3
side 3: 2.6
he total length of a road trip was 15 hours. If highway signs are posted every 0.6 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answer:
26 highway signs
Step-by-step explanation:
15 ÷ 0.6 = 25 highway signs
Since they mentioned that there was one at the end of the road trip,
25 + 1 = 26
A light bulb consumes 5850 watt-hours in 3 days and 6 hours. How many watt-hours does it consume per day?
watt-hours per day
Х
5
?
Answer:
Step-by-step explanation:
Three days + 6 hours has 24*3 + 6 = 78 hours
You need only set up a proportion
5850 / 78 = x / 24 Multiply by 24
24 * 5850 / 68 = x
1800 watt hours / day
How do I tell my mom I have depression so she will stop hurting me with hurtful words-
Answer:
Just tell her and if she says you dont tell her that you do. If she continues to hurt you then probaly call the police.
Step-by-step explanation:
Answer:
try to find someone close to you like a relative or best freind and tell them about her. After that try to confront her about it, and bring that close one with you to make you feel more strong. if she says you dont
have it and contiues hurting you tell the police.
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
Apply the distributive property to create an equivalent expression.
(3 - 8y) x (-2.5)
how long does it take to drive 820 feet at 60 mph?
Answer:
Step-by-step explanation:
820/60=13.6
(rounded)
Answer:
9.32 seconds
Step-by-step explanation:
60 miles x 5280 feet per mile = 316,800 feet per hour
316,800 feet per hour/60 minutes per hour = 5280 feet per minute
5280 feet per minute/60 seconds per minute = 88 feet per second
820 feet/88 feet per second = 9.32 seconds
What is the value of the expression? 2^5 x 3^4 x 3^2/ 2 x 3^6x 2^4
Solve the compound inequality. Then graph the solution set.
s-2 <-10 or-3s < 6
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
Divide simplify your answer,12/1/4 divide 1/8
Answer:
24
Step-by-step explanation:
Find four rational numbers between
−6/7 and 9/14
Answer:-5/7,-4/7,-3/7,-2/7
Step-by-step explanation:
I WILL MARK BRAINIEST AND GIVE 100 POINTS IF ANSWERED ASAP.
What is the measure of TYV?
Answer:
the answer is 116 jdsjosbdo
Will give brainlst!!
Answer:
2.5, 21/8, ³√25, π, √19
Step-by-step explanation:
The following data were obtained from the question:
³√25, π, 21/8, 2.5, √19
Next, we shall express each data as a decimal number where necessary. This can be obtained as follow:
³√25 = 2.9
π = 3.14
21/8 = 2.6
2.5 = 2.5
√19 = 4.4
Finally, we shall order the expression from least to greatest. This is illustrated below:
2.5, 21/8, ³√25, π, √19
Please help me fill in the blanks :) marking most Brainly
Answer:
For the part that contains organic matter your answer is, 35 negative result
For the part that does not contain organic matter your answer is, 60 positive result
Step-by-step explanation:
If we pay attention to the part that contains organic matter the total amount 700 and 665 is positive, so subtract them 700-665 to get 35 negative result
For the part that does not contain organic matter the total amount is 300, and 240 of it is negative, so subtract 240 from 300 to get 60 positive result
Your Welcome, Hope This Helps, And Have an Awesome Day!!!
On Monday, 375 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. how many students were on each bus?
Answer:
41
Step-by-step explanation:
(375-6)÷9=369÷9=41
Answer: 41 students were on each bus.
Step-by-step explanation: Subtract the 6 students who traveled in cars from the total students (375 - 6 = 369). Then, divide the 369 students by the 9 buses and get your answer: 41 students per bus.
cual es valor absoluto de -7
Answer: -7
Step-by-step explanation:
−7
=−7
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies. Each person eats 3 pieces of pizza, 16 ounces of soda, and 1 brownie. Each pizza has 10 slices. She buys 64 oz. bottles of soda. She bakes brownies in 8” X 12” pan and cuts them into 2” X 3” pieces.
How many pizzas does she need?
How many soda bottles does she need?
How many pans of brownies does she need?
If bottles of soda cost $1.69, pizzas cost $12.99, and brownie mix cost $2.39, write an expression to calculate the cost of Amanda’s NCAA tournament party.
All of the work:
How to solve the amount of pizza she needs:
20 x 3 = 60
60 divided by 10 = 6
How to solve the amount of soda bottled needed:
20 x 16 = 320
320 divided by 64 = 5
How to solve the number of pans she needs:
20(2 x 3) = 40 x 60
40 x 60 divided by 8 x 12 = 5
THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.Number of pizza she needs:6 pizza, costs $77.94
Number of soda bottles she needs:5 bottles, costs $8.45
Number of pans she needs:5 pans, costs $11.95
Add 77.94, 8.45, and 11.95 and get 98.34
Please help!!!The problem is:Employees at Abercrombie and Fitch are paid $8.50
per hour and a 3% commission rate on their sales. If an
employee works an 8-hour shift and sells $850 worth of
jeans, how much money do they earn in total?
HELP ASAP I WILL GIVE BRAINLIST ( I HAVE ANSWERED #1 SO MOSTLY NEED THE ANSWER TO #2 )
Essential Questions: Lesson 06.05 Graphing Systems of Non–Linear Equations
How can graphing be applied to solving systems of nonlinear equations?
How can constraints be used to model a real-world situation?
Answer:
2) Constraints can be used to model different variables that cannot equal zero. They can be used in many different cases. For example, modeling money or a ball being dropped.
Step-by-step explanation: