Answer:
A perfect square is an integer that results in another integer when square rooted.
Step-by-step explanation:
For example:
16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.
16 and 4 are both integers
Also, notice that 4 x 4 = 16
Answer:
A perfect square is a number that can be multiplied together by the same numbers/digits/values.
Step-by-step explanation:
Examples:
√25
5 times 5 is 25 thus √25 is a perfect square
√144
12 times 12 is 144 thus √144 is a perfect square
Hope this helps!
Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour
Answer:
there
Step-by-step explanation:
1
3) Find the values of a,b ,c and for y=x^2-9x+18.
Answer:
a = 1
b = -9
c = 18
What is the least common denominator for 5 and 16
Answer: 80
Step-by-step explanation:
16, 32, 48, 64, 80
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80
Use the exchange rate £1 = €1.13 to convert €339 into £.
Answer:
the answer is £300.
..........
Answer:
383.07
Step-by-step explanation:
All the info
£1 = €1.13 What are we trying to do? Turn €339 into £.
Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
1 and 3
Step-by-step explanation:
The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.
I GIVE BRAINLIST !!
Which point is in the graphed solution set of this system of inequalities
-3x+y>1
y>_ x-1
Answer:
I think the answer is option d
Find the perimeter. Simplify your answer.
Answer:
24c-14
Step-by-step explanation:
to find the perimeter, simply add up the values of the three sides:
(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14
Convert 8 yards into meters. Round your answer to the nearest tenth.
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
please answer fats i need it hurry
Answer:
78 inStep-by-step explanation:
26 * 3 = 78 in
why is the product of 3/2 and 3/4 greater than 3/4
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63
What is the discriminant of the quadratic equation 9x^2+5x-9=0
Answer:
Δ = 349
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
9x² + 5x - 9 = 0 ← is in standard form
with a = 9, b = 5 , c = - 9 , then
b² - 4ac
= 5² - (4 × 9 × - 9)
= 25 - (- 324)
= 25 + 324
= 349
The points (−4, −3) and (3, y) lie on the same line.
If the slope of the line is 2, what is the value of y?
PLEASE I HELP!!!!!!
The value of y from the given coordinates and slope is; y = 11
We are given the coordinates of the 2 points as;
(-4, -3) and (3, y)
Now, formula for slope of a line with two coordinates is;
m = (y2 - y1)/(x2 - x1)
m = (y - (-3))/(3 - (-4))
m = (y + 3)/7
Slope is m = 2. Thus;
2 = (y + 3)/7
y + 3 = 2 × 7
y + 3 = 14
y = 14 - 3
y = 11
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How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]
Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answer:
Step-by-step explanation:
5p + 3 = 15
Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5
Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
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System of equation by using substitution
3=y+3x
-x+3y=29
Answer:
x=-2
y=9
Step-by-step explanation:
3=y+3x ---- A
-x+3y=29 ----B
step 1. rearrange equation A, so you have the "y" variable on one side
3=y+3x
-3x -3x
3-3x=y
y=3-3x ---- C
step 2. Substitute equation C into equation B in place of "y"
-x+3(3-3x)=29 ---foil
-x+9-9x=29 -- collect like terms
-10x+9=29
-9 -9
-10x=20
÷-10 ÷-10
x=-2
Step 3. Substitute x=-2 into equation C to find y
y=3-3(-2)
y=3+6
y=9
Check you answer by subsituting x=-2 and y=9 back into equation A and B
Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.
Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.
Step-by-step explanation:
Statements / reasons:
Statement 1 >> RS ≅ UT Reason 1 >> Given
Statement 2 >> RT ≅ US Reason 2 >> Given
Statement 3 >> TS ≅ TS Reason 3 >> Common side
Statement 4 >> ΔRST≅ΔUTS Reason 4 >> SSS theorem
A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time
Answer:22$
Step-by-step explanation:
2x8.50 = 17+5 = 22$
How long do they bowl
at a back to school sale backpacks are marked down at 15% off the original price was $34 then what was the sale price
Answer:
The answer is 4.57
Step-by-step explanation:
help me with this question please!!ASAP
How do u solve this? pls LOL
Answer:
8
Step-by-step explanation:
HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .
Hence the smaller and the larger triangle will be similar to each other.
Also we know the corresponding sides of similar triangles are proportional .
=> 10 / z = 10+5/12
=> 10/z = 15/12
=> z = 10 *12/15
=> z = 8 yards
Answer:
8
Step-by-step explanation:
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
An airline ticket costs $40.
The price is increased by 200%.
Work out the absolute increase.
An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Cost of airline ticket = $40.
Increase in price = 200% of $40
Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]
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What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
Divide the complex numbers. Write the answer in the form a + bi. (30 points)
Prefer work shown as it would be super helpful, thank you.
We make use of the identity,
a² - b² = (a - b) (a + b)
with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :
(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74
Expand the numerator on the right side:
(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74
(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74
d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( − 3 , 4 ) and ( x 2 , y 2 ) = ( − 2 , 4 ) .
Answer:
1
Step-by-step explanation:
let's substitute the numbers:
[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]
The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.
DistanceThe distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.
How to evaluate the distance?The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].
Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-
[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]
Hence, the value of d is 1.
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