Answer: 10 x -9 10 + -9
Step-by-step explanation:
If the dimensions of a triangle are cut in ____, then the new perimeter is one-fourth of the original perimeter.
1. half
2. thirds
3. fourths
Answer:
Fourths
Step-by-step explanation:
If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.
a student wrote a proof about the product of two rational numbers:
Let x = a/b and let y = c/d, where a and c are defined to be integers, and b and d are nonzero integers.
By substitution, xy = ac/bd.
By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product xy?
A- the product xy is a nonzero Integer because nonzero Integers are closed on division.
B- the product xy cannot be an integer because bd is a nonzero Integer.
C- the product xy may be elther rational or Irrational because the values of a, b, c, and d are unknown.
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
A rational number is a number that can be expressed as a fraction of integers.
The conclusion the student can make about product xy is that:
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
Given that:
[tex]x = \frac ab[/tex]
[tex]y = \frac cd[/tex]
The product xy is:
[tex]x \times y = \frac ab \times \frac cd[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
From the question, we understand that:
[tex]Integers \to a, c[/tex]
This means that, ac would be an integer (by closure property)
Also:
[tex]Non\ zero \to b,d[/tex]
This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]
The quotient of an integer and a non-zero integer is always be rational.
Hence, option (d) is correct.
Read more about rational numbers at:
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help neither me or my friend know how to do this
Answer:
X [tex]\leq[/tex] -5
Step-by-step explanation:
Answer:
x ≥ -6
Step-by-step explanation:
Here you go, this might help you
https://courses.lumenlearning.com/collegealgebracoreq/chapter/temp-4-review/
39/8 as a decimal... I've forgotten how to turn fractions into decimals
Answer:
4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's
Answer:
4.875
Step-by-step explanation:
Pretty simple, just divide the numerator by the denominator.
Even more trig ratios see attachment
Step-by-step explanation:
1. Use the Pythagorean theorem to solve for side KM:
16^2+KM^2=34^2256+KM^2=1156KM^2=900KM=302. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34
3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16
4. Sine is opposite over hypotenuse, so sine of M will be 16/34
5. KM=30, solved for in step 1.
hope this helps!!
Becky used 8 gallons of gas driving to visit her friend. Her car used gas at the rate of 24 miles per gallon. How far did she drive?
Answer:
192
Step-by-step explanation:
8 x 24 = 192
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of
games, g, that Roberto can buy.
Inequality (use g as your variable):
Roberto can buy up to
video games.
Answer:
$200.00/$25.50 = g
Step-by-step explanation:
200.00 / 25.50 = 7 games
Find the area of the figure below
Answer:
4.5 x 14 = 63
Explanation:
The area of a parallelogram is the product of any base and the altitude to that base: A = bh.
whts the factored answer
Step-by-step explanation:
x^2-25=
[tex] {x}^{2} - 25 = (x - 5)(x + 5) [/tex]
The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answer:
If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1
The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Given that;
The given function is,
⇒ f (x) = x²
Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;
⇒ g (x) = (x - h)² + k
Where, (h,k) is the vertex of the parabola.
Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),
Therefore, the equation of parabola is,
⇒ g (x) = (x - 4)² + 1
Thus, The equation of the blue graph is,
⇒ g (x) = (x - 4)² + 1
Learn more about the function visit:
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7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
What is the value of the expression
-3-(-4)?
Answer:
The value of this expression is -7
Trigonometry can anyone help me out
Answer:
y = 11
x = 11 root 3
[tex]x = 11\sqrt{3} [/tex]
[tex]y = 11[/tex]
Step-by-step explanation:
Cos 60 =
[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]
[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]
Answer:
y = 11
x = 11 root \3
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...
Answer:
[tex]a_{n}[/tex] = 3n + 32
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 38 - 35 = 41 - 38 = 3
This indicates the sequence is arithmetic with n th term ( explicit formula )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 35 and d = 3 , then
[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32
PLZZZ HELP WHAT IS THE AREA OF THIS TRAPEZOID?!?!?!
Find the gradient of the line segment between the points (4,3) and (5,6
Answer:
3
Step-by-step explanation:
us the formula
y1 - y2 divided by x1 - x2
=gradient
6 - 3 divided by 5 - 4 = gradient
3 = gradient
hope this helps
please mark it brainliest
Please i need help fast! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
{7, 21, 28}
Step-by-step explanation:
In order for three sides to add up to a triangle, the two shorter sides must have a sum of greater than the longest side.
Since 7 + 21 = 28, and 28 = 28, that group of sides cannot add up to be a triangle.
Have a nice day!
solve for t i need help
[tex]4(t+\frac{1}{4})=3[/tex] distribute by multiplying 4 into the parenthesis.
[tex]4t+1 = 3[/tex]
[tex]-1[/tex] [tex]-1[/tex] subtract 1 on both sides, solve for 3 - 1, which is 2.
__________
[tex]\frac{4t}{4} =\frac{2}{4}[/tex] divide 4 on both sides.
[tex]t = \frac{2}{4}[/tex] simplify 2/4.
[tex]t = \frac{1}{2}[/tex] final answer
hope this helps :)
Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dollars, where n is the number of checks written by Noelle. In Micah's account, the monthly cost is proportional to the number of checks written. The monthly cost for Micah's account is $1.20 for writing 3 checks. How many checks must Noelle and Micah write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?
Answer:
C = $2.40
n = 6
Step-by-step explanation:
For Noelle,
Equation that represents the monthly cost 'C',
C = 0.2n + 1.20
Here, n = number of checks written in a month
For Micah,
Monthly cost for writing checks 'C' = $1.20
Number of checks 'n' = 3
Since, Cost of writing checks ∝ Number of checks written
C' ∝ n
C' = kn
k = [tex]\frac{C'}{n}[/tex]
Here, k = proportionality constant
For C' = 1.2 and n = 3
k = [tex]\frac{1.2}{3}[/tex]
k = 0.4
Equation will be,
C' = 0.4n
For any month C = C'
Therefore, 0.2n + 1.20 = 0.4n
0.4n - 0.2n = 1.20
0.2n = 1.20
n = 6
Number of checks written by Noelle and Micah = 6
For n = 6,
C = 0.2(6) + 1.20
C = $2.40
Cost of writing checks = $2.40
A blackboard has an area of 28 ft2 and a perimeter of 22 ft. What are the dimensions of the board?
Answer:
4 ft by 7 ft.
Step-by-step explanation:
please help, i will give 20 points
4. Overall, there are 45 students.
13 students achieved a mark over 65
[tex]\frac{13}{45} *100[/tex] = 29%
Therefore the answer is b. 29%
5. b is incorrect.
This is because retrievers account for 10% of the dogs, not 15%.
100%-(35% + 45% + 10%) = 10%
4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from the graph of h to the graph
of k? A.) A reflection over the x-axis and a vertical
stretch
B.) A reflection over the x-axis and a vertical
compression
C.) A reflection over the y-axis and a vertical
compression
D.) A reflection over the y-axis and a vertical stretch
Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:
(i) Vertical stretch
[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]
(ii) Reflection over the x-axis
[tex]g(x) = -f(x)[/tex]
Let prove both transformations in [tex]h(x)[/tex]:
Step 1 - Vertical stretch ([tex]k = 4[/tex])
[tex]h'(x) = 4\cdot x^{2}[/tex]
Step 2 - Reflection over the x-axis
[tex]k(x) = -4\cdot x^{2}[/tex]
Hence, correct answer is A.
Which problem situation could be used to solve the open sentence below? p/12=? please help it’s overdueee
Answer:
Its B, If P is the total amount of $ you would divide by 12 to find the number of times she took the garbage out
Estimate 12% of 77?
Answer: 9.24
Step-by-step explanation:
12*77 = 924
= 9.24
The answer to the given question is estimating 12% (percent) of 77, we get the answer 9.24.
To calculate 12% of 77 precisely, we can use the following formula: percent / 100 × given number
= 12% of 77
= (12/100) × 77
= 9.24
Therefore, 12% of 77 is 9.24.A percentage is a way of expressing a number as a fraction of 100. The symbol "%" is used to is used to indicate a percentage. For example, if we say that something is 25%, we mean that it is 25 out of 100 or 0.25 as a decimal. Percentages are used in many different areas, such as finance, statistics, and science. They can be used to represent proportions, rates of change, or as a way to compare different quantities. One common use of percentages is to calculate percentage change or increase. This is done by finding the difference between two values and expressing it as a percentage of the original value.
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work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]
Hope this helps.
In an isosceles triangle, one side is 6 more than 3 times a number and the congruent side is 10 less than
5 times the same number, what is that number?
a.2
b.8
c.16
d. none of above
See image for question.
Please show workings and diagrams.
Answer:
a) 7 kmb) 298°Step-by-step explanation:
See attached diagram (not to scale).
All given details reflected.
a) Find the measure of XZ using the law of cosines:
y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)b) Now using the law of sines find the measure of angle X:
7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)The bearing of Z from X is:
270° + 28° = 298°Help need answers to this asap
give me a decimal to divide, substract and multiply. (3 of each)
Answer:
Step-by-step explanation:
0.34/ 0.14
0.621/ 0.512
0.536/ 0.612
0.64 - 0.12
0.12 - 0.36
0.59 - 0.25
0.5123 x 0.51232
0.593920 x 0.0591923
0.59129 x 0.5919232
I'm very confused on what the answer to this one is
Answer:
(-3,1.5) (0,3) (3'3)
Step-by-step explanation:
multiply all the coordinates by 1/2