Answer:
36 = 6(6)
[tex]x^{2} -(6)^2[/tex]
(x+6)(x-6)
(x+6)(x-6)
Please answer if in two minutes
Answer:
y = 7
z = 1
Step-by-step explanation:
If the triangles are congruent
AB = QR
y+ 34 = 41
Subtract 34 from each side
y = 41-34
y = 7
and QP = BC
38 = z+37
Subtract 37 from each side
38-37 = z
1 =z
Answer:
y = 7
z = 1
Step-by-step explanation:
The triangles are congruent, the length of the sides are equal.
y + 34 = 41
y = 41 - 34
y = 7
z + 37 = 38
z = 38 - 37
z = 1
Jo is buying a shirt for $15 and a pair of pants for $25. She has a coupon for 20% off the pants. What amount will she pay before tax?
Answer:
$20 for the pants $35 in total
Step-by-step explanation:
When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to record transactions in your checkbook. d:You are not personally liable for more than $50 if it is stolen.
Answer:
D.
Step-by-step explanation:
Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.
D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4 x (0 + 4 y) Which best describes the accuracy of Monique's solution? Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression. Monique made an error when determining the GCF from her list of factors. Monique made an error when writing the factored expression.
Answer:
Monique made an error when writing the factored expression.
Step-by-step explanation:
The factorisation of the expression 4x+16xy is 4x(1+4y).
The given expression is 4x+16xy.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x=2×2×x and 16xy=2×2×2×2×x×y
so, the GCF of terms 4x.
Now, 4x(4x/4x+16xy/4x)=4x(1+4y)
Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).
To learn more about the factorisation visit:
https://brainly.com/question/20293447.
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NEED ANSWER ASAP What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
Answer:
(A) 1
Step-by-step explanation:
We know that the formula is x = (m/m+n) (x2-x1) + x1.
But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.
The reason everyone else was getting 4 was because they were using this.
They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.
However, the correct equation (because it is supposed to be F to D) is
x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.
I also just took the quiz and got 100%.
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The whole number which is not a natural number is
Answer:
All negative numbers
Step-by-step explanation:
They are not whole numbers
Answer:
0
Step-by-step explanation:
Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
X is the domain.
The function comes from -∞ and goes to ∞
So B is the answer.
JOJO help me I can't work good
Answer:
C. 46 degrees
Step-by-step explanation:
In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.
Answer:
C. 46°
Step-by-step explanation:
When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.
Please answer this if you can! <3 (NO EXPLANATION REQUIRED!)
If Z1 = 12 + 6݅ and Z2 = a + bi (where a, b ∈ R) are two complex number, we can say that the product Z1Z2is imaginary A) If and only if ܽ = ܾ = 0 B) If b = 2a C) If a = −2b D) for each value of a and b
Answer:
A) if and only if a = 0
Step-by-step explanation:
Since Z1 = 12 + 6݅ and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)
Z1Z2 = (12 + 6)(a + bi)
Expanding the brackets, we have
Z1Z2 = 12a + 12bi + 6a + 6bi
Collecting like terms, we have
Z1Z2 = 12a + 6a + 12bi +6bi
Z1Z2 = 12a + 6a + (12b +6b)i
Simplifying, we have
Z1Z2 = 18a + 18bi
For Z1Z2 to be imaginary, then the real part must be zero.
That is 18a = 0 ⇒ a = 0
So, Z1Z2 is imaginary if and only if a = 0
what is the greatest common factor of the polynomial below? 8x^2-4x
Answer:
4x
Step-by-step explanation:
8x^2 = 2*2*2 *x*x
4x = 2*2 *x
The greatest common factor is 2*2*x = 4x
Answer:
A
Step-by-step explanation:
8x² - 4x
Factor out the greatest common factor.
4x(2x) - 4x(1)
4x(2x - 1)
The greatest common factor of the polynomial is 4x.
Please show your work! *grade 9 work*
Answer:
c = 6√2 cm
Step-by-step explanation:
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
108 = c²
c = ± √108 = ± 6√2
Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.
Answer:
72 cm or 6 square root of 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=72
c= 72 cm. or 6 square root of 2
hope this helps.
Which expression is equivalent to -36 - 8−36, 36, minus, 8? Choose 1 answer: Choose 1 answer: (Choice A) A -36+(-8)−36+(−8)minus, 36, plus, left parenthesis, minus, 8, right parenthesis (Choice B) B -8+36−8+36minus, 8, plus, 36 (Choice C) C 8-368−368, minus, 36 (Choice D) D 36+836+8
Answer:
Choice A: -36 + (-8)
Step-by-step explanation:
We want to find the equivalent expression to -36 - 8
The correct option is Choice A.
Choice A is -36 + (-8)
The reason is that the product of the signs + and - is -, i.e.
+ * - = -
Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8
Can someone help me solve this?
What is side b? Thank you
Answer:
The answer is
b = 39.32 feetStep-by-step explanation:
To find side b we use cosine
cos ∅ = adjacent / hypotenuse
From the question
side c is the hypotenuse
side c = 48 feet
side b is the adjacent
∅ = 35°
We have
cos 35 = b/c
cos 35 = b / 48
b = 48 cos 35
b = 39.319
b = 39.32 feet to 2 decimal places
Hope this helps you
Answer:
b ≈ 39.32 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] = [tex]\frac{b}{48}[/tex] ( multiply both sides by 48 )
48 × cos35° = b, thus
b ≈ 39.32 ft ( to 2 dec. places )
Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5
Answer:
[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]
Step-by-step explanation:
Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:
[tex]y-k = C\cdot (x-h)^{2}[/tex]
[tex]y = C \cdot (x-h)^{2} + k[/tex]
Where:
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.
[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).
After reading the statement of the problem, the following conclusion are found:
1) New function must have an absolute minimum: [tex]C > 0[/tex]
2) Transformation to the right: [tex]h > 0[/tex].
3) Transformation downwards: [tex]k < 0[/tex]
Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].
Answer:
Choice D
Step-by-step explanation:
Took the test
William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month
Answer:
The Amount amount he pays each month is 298
Step-by-step explanation:
Given:
Total amount of new car (including interest) = 17,880
Payment is splited over 60 months i.e time = 60 months
Required:
How much will be paid each month
To find the amount to be paid each month use the formula:
Monthly payment = Total amount / time
[tex] = \frac{17880}{60} = 298 [/tex]
Therefore, the amount William pays each month is 298
Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
Tinh's reduction is incorrect. He should only divided the side lengths by 3.
Dividing the angle measures by 3 would make it into a completely different triangle.
Dividing only the side lengths will make the triangles slightly alike.
The answer is A.
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Carlos' hourly wage increased by 30% this year. If his previous salary was $20 an hour, what is his new hourly wage?
Answer:
$26.
Step-by-step explanation:
His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:
[tex]20+20(.3)=20(1.3)=26[/tex]
His new salary is $26.
Note: For the second step, I used the distributive property.
[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]
Please help ASAP ‼️‼️‼️‼️‼️‼️
Answer:
B. [tex]\bold{g(x)=(\frac12x)^2}[/tex]Step-by-step explanation:
vertex of g(x) is (0, 0), so:
[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]
Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent
Answer:
c
Step-by-step explanation:
Answer:
Both a relation and a function
Step-by-step explanation:
Replicates itself every 14 minutes, which is exponential function
Find the solution set. 8x^2-2x-3=0 separate the two values with with a comma.
Answer:
x = -1/2, 3/4
Step-by-step explanation:
Step 1: Factor
(2x + 1)(4x - 3) = 0
Step 2: Find roots
2x + 1 = 0
2x = -1
x = -1/2
4x - 3 = 0
4x = 3
x = 3/4
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years?
Answer:
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
Step-by-step explanation:
Principal(p)=$13,000
Rate(r)=3.0%
Period(n)=12 months
Time(t)=10 years
A=p(1+r/n)^nt
=13,000(1+0.03/12)^12*10
=13,000(1+0.0025)^120
=13,000(1.0025)^120
=13,000(1.3494)
=17,542.2
A=$17,542.2
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes through the point (4, 4) on the blue line. Explain how you determined your answer.
Answer:
y = 0.5x + 2
Step-by-step explanation:
the y-intercept is 2, as shown in the graph
the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).
using the slope formula of rise / run, you get 1/2, which is equal to 0.5
State if a triangle is acute ,obtuse, or right
Answer:
It is an acute angle due to the angle formed at the vertex being less than 90 degrees
Answer:
acute triangle
Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest
(2*6)^3/2 in simplest form
Answer:
[tex]\sqrt{1728}[/tex]
Step-by-step explanation:
=> [tex](2*6)^{3/2}[/tex]
=> [tex](12)^{3/2}[/tex]
=> [tex]1728 ^{1/2}[/tex]
=> [tex]\sqrt{1728}[/tex]
Tanesha can make 3 scrapbook albums in 2 hours. How long will it take her for to make 105 albums?
Answer: 70 hours
Step-by-step explanation:
First do 105/3(35) Then multiply 35*2(70)
help quick plz must get this correct I will make u a brainllest
Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
Describe in words the end behavior of f(x)=-5x^4
Answer:
see below
Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was per hour. The water output rate for the Perry family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.