Answer:
3 and - 3Step-by-step explanation:
Let the numbers are x and y.
Their difference is:
x - y = 6Sum of their squares:
S = x² + y²Substitute y = x - 6 into sum equation:
S = x² + (x - 6)² = x² + x² - 12x + 36 = 2x² - 12x + 36We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:
x = - (-12/2*2) = 3Then the value of y is:
y = x - 6 = 3 - 6 = - 3A restaurant customer left $1.10 as a tip. The tip was 10% of the cost including tax. What was the total bill?
Answer:
11
Step-by-step explanation:
so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply
Solve the inequality
8(x/4-6)>4
Answer:
[tex]8( \frac{x}{4} - 6) > 4[/tex]
[tex] \frac{8x}{4} - 48 > 4[/tex]
[tex]2x - 48 > 4[/tex]
[tex]2x > 4 + 48[/tex]
[tex]2x > 52[/tex]
[tex]x > \frac{52}{2} [/tex]
[tex]x > 26[/tex]
which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x
Answer:
4=4x
Step-by-step explanation:
the formula y=mx+b
corresponds to y=slope+y intercept
all proportional relationships start on the origin so the y-intercept is always 0
the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x
O 8) Translate the point and give the resulting coordinates.
(-9,6); (5,-2)
Answer:
- 4/7
Step-by-step explanation:
The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
Used the concept of coordinate that states,
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinate is (- 9, 6) and (5, - 2).
Now the value of the resulting coordinate is found as,
(- 9 + 5, 6 - 2)
= (- 4, 4)
Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
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4x2 + 5x - 3x2 + 2y - 3x + 2y?
Answer:
2+2=5
Step-by-step explanation:
Craig wants to create a right triangle with side lengths 4 centimeters, 6 centimeters, and 8 centimeters. Is this possible? Why or why not?
Answer:
It's not possible
Step-by-step explanation:
In right triangle hipotenuse must be the longest side so it'll be 8 and legs will be 4 and 6.
So
[tex]4 {}^{2} + 6 {}^{2} [/tex]
Doesn't equal to
[tex]8 {}^{2} [/tex]
16+36=52 not 64
What is the area of this triangle NO LINks OR I WILL REPORT
Answer:
18 square inches
Step-by-step explanation:
Area of triangle = bxh/2
b=3, h=12
Area = 3x12/2
Area = 36/2
Area = 18 square inches
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.
Answer:
200.52 in^2
Step-by-step explanation:
to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.
that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.
Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.
Hope this helped if it did please give me brainliest it helps me a lot. :)
Hope this helped!
Plz.Help!me to solve first ano. and bno.
Answer:
a) rs 3000
b) rs 16800
a) rs 1600
b) rs 4000
Need only #5 done (Show work) will give brainliest
The distance between K and M = 35 (from the question)
[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).
Collecting like terms:
[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).
Dividing by the variable's coefficient:
[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).
Step-by-step explanation:
Statement ReasonL is between K and M GivenKM = 35 GivenKL = 2x - 5, LM = 2x GivenKM = KL + LM Segment addition 35 = 2x - 5 + 2x Substitution 35 + 5 = 4x Addition property40 = 4x Simplification10 = x Division propertyx = 10 Proved16 x [tex]\frac{1}{8}[/tex]
Answer:
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[tex]\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}\red{\rule{40pt}{999999pt}}[/tex]
а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3
Answer:3√3
Step-by-step explanation:
tanx=opp/adj
tan60=x/3
make x the subject: 3 × tan60= x
x= 3√3 or 5.196 in decimals
What is median number.
pls help!! need it to study fr the exam tmrw
Answer:
[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]
Answer:
22 cm
Step-by-step explanation:
The angle subtended at the centre by the arc is 90°
This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle
The arc length will be quarter of the circumference, that is
arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm
help me brain pt Part 4
Answer:
Its an acute bc an acute angle is less than 90 degree
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
y=-7x+50
Step-by-step explanation:
Gemma is solving a division problem. After writing the problem down, she moves the decimal point directly up to the quotient. Which of these is true of Gemma’s divisor?
A
It is 0.
B
It is negative.
C
It is a decimal.
D
It is a whole number.
C? im pretty sure its c
hope this helps!
C. It is a decimal, it is true of Gemma’s divisor.
The correct answer is: C. It is a decimal.
When Gemma moves the decimal point directly up to the quotient, she is essentially performing long division by powers of 10.
This is because when you divide a number by a power of 10, you are essentially shifting its decimal point to the left by the number of positions determined by the power of 10.
For example, if she is dividing by 100 [tex](10^2)[/tex], she is moving the decimal point two places to the left.
If she is dividing by 1000 [tex](10^3)[/tex], she is moving the decimal point three places to the left, and so on.
Moving the decimal point up to the quotient means that the divisor is a decimal number, and its value determines how many decimal places Gemma needs to move the decimal point in the dividend to get the quotient.
So, the correct answer is C. It is a decimal.
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Lashonda is on the swim team. Each week she swims a total of 9000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.
Answer:
Rate is 9 kilometers (km)/week.
Step-by-step explanation:
9000 meters is 9 km (divide m by 1000 to get km)
HELPPP.!! I don’t understand
Write an equation in slope-intercept form of the line please help me
Answer:
The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.
it is equal to (y - 4) = m(x - 0)
and now we look for the slope
m = y2 - y1/ x2 - x1
which can be directly substituted according to every line connecting each x value to a certain y value.
In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown or green candy from the bag
Answer:
40 percent
Step-by-step explanation:
Answer:
13/53
Step-by-step explanation:
Total number of m&m's = 53
Probability of choosing a brown candy = 7/53
Probability of choosing a green candy = 6/53
Probability of choosing a green or brown candy
= 7/53 + 6/53
=13/53
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
Divide x5+15x4+54x3−25x2−75x−34 by x+8
Step-by-step explanation:
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x+8x5+15x4+54x3-25x2-75x-34
Divide the highest order term in the dividend x5 by the highest order term in divisor x.
x4x+8x5+15x4+54x3-25x2-75x-34
Multiply the new quotient term by the divisor.
x4x+8x5+15x4+54x3-25x2-75x-34+x5+8x4
The expression needs to be subtracted from the dividend, so change all the signs in x5+8x4
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4
Pull the next terms from the original dividend down into the current dividend.
x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4+54x3
Divide the highest order term in the dividend 7x4 by the highest order term in divisor x.
On dividing, x⁵+15x⁴+54x³−25x²−75x−34 by x+8, Quotient is x⁴+7x³−2x²−9x−3 and Remainder is -10.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Dividend is x⁵+15x⁴+54x³−25x²−75x−34
Divisor is x+8
After division, the solution is attached in the image.
Quotient is ( x⁴+7x³−2x²−9x−3)
Remainder is -10
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Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
What is the value of x ?
Answer:
12
Step-by-step explanation:
short way 6✓2 . ✓2 it is the 45 degree formula
Answer:
12
Step-by-step explanation:
The figure is an equilateral righ triangle - or if you prefer, it's half a square.
As a triangle: x is the ipotenuse, pythagorean theorem
[tex]x^2 = (6\sqrt2)^2 + (6\sqrt2)^2\\x^2 = 72+72 = 144 \rightarrow x = 12[/tex]
As half a square: diagonal is [tex]\sqrt2[/tex] times the side
x= [tex](\sqrt2) (6\sqrt2) = 2\times6 = 12[/tex]
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
Which describes how to move from (2, 3) to (6,4) on a coordinate grid?
Step-by-step explanation:
x = +4
y = +1
it uses a rigid transition formation
 Find the perimeter. Simplify the answer
Answer:
sorry i was dared to sooooooo yayyyyyyyyyyyyyy
Answer:
15x + 28Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
= 15x + 28...ans
Hope it Helps you!!Can someone pls help me
Please show your work
Answer:
-5=x
Step-by-step explanation:
Angle 105º = (110+x)º
Solve for x.
105=110+x
Subtract 110 from both sides of the equation.
-5=x
Hope this helps :)
