Answer:
25
Step-by-step explanation:
A balance scale shows that 12 + 5 = 17. If five units are removed from one side, what needs to be done to the other side to keep the scale in balance?
Find the zeroes of the quadratic polynomial 4x²-4x+1 and verify the relation between its zeroes and coefficients
Answer:
A) zeros are x = ½ or x = ½
B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)
>> Product of the zeros = Constant term/Coefficient of x²
Step-by-step explanation:
To find the zeros, we will equate the polynomial to zero.
Thus;
4x² - 4x + 1 = 0
Using quadratic equation, we can find the zeros.
x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)
x = (4 ± 0)/8
x = 4/8 and x = 4/8
Thus, zeros are x = ½ or x = ½
Now, to find the relationships between its zeroes and coefficients;
Sum of zeroes = ½ + ½ = 1
This is equal to -b/a = -(-4)/4 = 1.
Thus;
sum of zeros = (-Coefficient of x)/(Coefficient of x²)
Product of zeros = ½ × ½ = ¼
c/a = 1/4
This is equal to the product of the zeros.
Thus;
Product of the zeros = Constant term/Coefficient of x²
Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540
Answer: 45$
Step-by-step explanation:
Given
Principal [tex]P=\$500[/tex]
Rate [tex]R=6\%[/tex]
time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
In the question, time is taken in months which is incorrect
Putting values
[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!
Answer:
Answers are all in pictures.
A ladder is 51 inches tall. How tall is it in feet and inches?
Answer:
4 feet and 3 inches
Step-by-step explanation:
The measure of ladder in feet is 4.15.
Given that, a ladder is 51 inches tall.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 feet = 12 inches
So, in inches = 51/12
= 4.25 feet
Therefore, the measure of ladder in feet is 4.15.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
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In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
Oak Street and Elm Street run parallel to each other.
When Main Street
intersects them, it forms exterior Z8, measuring 60°.
What is the measure of
22?
solve for x in a triangle. Round your answer to the nearest hundredth
Find the oth term of the geometric sequence 9, -27, 81, ...
Evaluate 7d, when d = 9 please!
Answer:
63
Step-by-step explanation:
When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!
A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make with the wheelbarrow?
Answer:
28.9
Step-by-step explanation:
2782 divied by 96 gives you 28.9.
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
Make t the subject of 5(t − g) = 2t + 7
Answer:
[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]
pleaseee help im really confused
you are shopping for a Nintendo Switch and you have a choice to make. You can pay $420 and add 10% for shipping or pay $400 and add 20% for shipping. Which costs less?
Answer:
420 x .1 = 42
420 + 42 = 462
400 x .2 = 80
400 + 80 = 480
The first one is cheaper
Help plz :)
Determine the measure of each unknown angle using the diagram.
4) Ari can swim 2 laps per minute. Which equation represents the number of laps,
n, that Ari travels in m minutes?
a n = 2m
b. m = 2n
c. n = 2 +m
d. n = 2 divided by m
I don't have much but 25 points and brainliest pls :/
AAA someone help me pls :<
Solve the equation for x.
x² = 25/289
The solution of the equation is x = ?
I appreciate you :')
Answer:
x = −5.5 i think
Step-by-step explanation:
Good Luck!
Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Write a rule for g
Answer:
g(x) = 2e - 5
Step-by-step explanation:
f(x) = e
2 f(x) = 2e : vertical stretch by a factor 2
2 f(x) - 5 : transition 5 units down
g(x) = 2 f(x) - 5 = 2e - 5
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The answer is 35.1 cm².
Hope this helps; have a great day!
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
Which of the following expressions also
show the total area of the two rooms?
Choose ALL that apply.
8.3 +8.6
6(3+8)
6.3 + 6.8
8(3+6)
Answer:
6(3+8)
Step-by-step explanation:
6(3+8)= 6×3+6×8=18+48
this is the given value of A
The correct expressions for total area = 6x3 + 6x8 or 6(3+8)
What is rectangle?Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
In the given figure,
Area of one room = 18 square feet
Area of second room = 48 square feet
Now since we can see that,
the width of both rooms is same,
therefore,
we have 6 as common factor of 18 and 48
As, 18 = 6x3
48 = 6x8
Total are of the given figure = 18 + 48
Since we know that,
Area of rectangle = length x width
Therefore,
area of both rooms = 18 + 48
= 6x3 + 6x8
= 6(3+8)
Hence,
The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)
Learn more about the rectangle visit:
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please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
5 daños colaterales de los avances medicos
Answer:
1. Dosis de la vacuna de Oxford
Step-by-step explanation:
solve for x , (2x-1)=5(x+1)
no links
Answer:
x = -2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
(2x-1)= 5(x+1)
2x - 1 = 5x + 5
-2x -2x
- 1 = 3x + 5
-5 -5
-6 = 3x
-6/3= 3x/3
-2= x
Which expression is a cube root of -1 + i sqrt 3
Answer:
c
Step-by-step explanation:
Answer:
I think A or C
Step-by-step explanation: hope this was helpful
need helppp
What shape(s) have congruent diagonals?
** You may have more than one correct
answer!
****
Square
Trapezoid
Rhombus
Rectangle
Kite
Answer:
Step-by-step explanation:
A B
definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel
five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary
definition of a rectangle a quadrilateral with four right angles
rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle
five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles
definition of a rhombus a quadrilateral with four congruent sides
rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles
properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles
definition of a square a quadrilateral with four right angles and four congruent sides
properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent
definition of a trapezoid a quadrilateral with exactly one pair of parallel sides
definition of an isosceles trapezoid a trapezoid with the legs congruent
isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent
trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)
in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square
in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid
in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square
in these quadrilaterals, the diagonals are perpendicular rhombus, square
a rhombus is always a... parallelogram
a square is always a... parallelogram, rhombus, and rectangle
a rectangle is always a... parallelogram
a square is never a... trapezoid, because trapezoids only have one pair of parallel sides
a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides
these quadrilaterals always have all four congruent sides rhombus, square
these quadrilaterals always have all four right angles rectangle, square
these quadrilaterals always have perpendicular diagonals rhombus, square
if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees
the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles
the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other
the diagonals of a parallelogram... always bisect each other
Answer:
squares, rectangles, trapeziods (only if isoceles)
Step-by-step explanation:
Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.
What is the distance between points S and U if S is 2, 1 and U is 6, 8
Round to the nearest tenth of a unit.
A. 3.3 units
B. 6.4 units
C. 8.1 units
D. 12.0 units
The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units
Answer:
C
Step-by-step explanation:
S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)
taking the distance formula : sqrt(4^2 +7^2)
= sqrt(65) = 8.1 which is answer C
What is the area of a rectangle? Pls help and I will mark brainliest!
Answer:
A. 168 units²Step-by-step explanation:
Find the missing side of the rectangle, use Pythagorean:
b² = 25² - 7² = 576b = √576 = 24 unitsFind area of rectangle:
A = abA = 7*24 = 168 units²Correct choice is A