Answer:
Step-by-step explanation
make an equation
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
hey could yall help me this is due at 12 :>
Answer:
I would say D and B im not 100% sure its just me cause i did the math and
Step-by-step explanation:
A= 13/24
B=7/12
C=4/15
D=1/8
Jill drew a picture that was 9 inches by 12 inches. She needs to scale the picture so that it is 39 ft
by 52 ft for a mural on the school cafeteria wall. What is the scale factor for the dilation? Draw
a picture and show your work.
Answer:
4[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Divide 39 by 9 to get 4[tex]\frac{1}{3}[/tex]
39÷9=4[tex]\frac{1}{3}[/tex]
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
given the diagram, what is the measure of < B, rounded to the nearest tenth
Answer:
41.4
Step-by-step explanation:
cos(b) = 12/16
b=arccos(12/16)=41.4 to the nearest tenth
Answer:
41.4° is your answer look it once
pls help .............
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days? is this multiply
Answer:
Yes this is multiplication
Answer is: 105km
Step-by-step explanation:
multiply 3.75 by 28 to find the total number he ran
3.75•28= 105km
hope this helps chu <3
The dimensions of a lawn shaped like a trapezoid are given in meters. 18 meters, 4 meters, 5 meters, 12 meters. What is the area of the lawn in square meters?
Answer:
the area of the lawn in square meters is 60 meters^2
Step-by-step explanation:
The computation of the area of the lawn in square meters is shown below
= 12 meters × 5 meters
= 60 meters ^2
Here we multiply the two sides so that the area of the lawn could be come
Hence, the area of the lawn in square meters is 60 meters^2
-4n+3>23
A. -5
B. 5
C. -9
D. -20
E. 20
Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?
Answer:
284
Step-by-step explanation:
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
There is a 0.0125% chance that a baby might be born with a certain heart defect. If there are 312,000 babies born a day, about how many might have that defect? Round your answer to the nearest whole number.
Answer:
3,900 Babies
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
312000 x0.0125 / 100 = 39
I hope this helps a little bit.
Henry has a recipe that calls for 1 1/2 cups of sugar. He wants to use 1/2 of that amount. How much sugar will Henry use? *
Answer:
3/4
Step-by-step explanation:
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!
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]
PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!
Answer:
Answers are all in pictures.
Solve the equation.
34c−14c+3=7
Answer:
1/5
Step-by-step explanation:
34c-14c+3=7
20c+3=7
20c=4
c = 1/5
pls help if u can ill give 15 pnts
Answer: 7
Step-by-step explanation:
WILL MARK BRAINLIET IF GOTTEN RIGHTTT DONT ANSWER IF U DONT KNOWWW
Answer:
H
Step-by-step explanation:
sorry if im wrong
Answer:
H
Step-by-step explanation:
A translation from the point (3,2) 1 unit to the left and two units down leaves you at (2,0). A reflection across the y-axis leaves you at point (-2, 0). A 90 degree counterclockwise rotation about the origin leaves you at point (0,-2), which is also point H.
What relationship do the two segments that are tangent from the same circle to the same point have?
Answer:
The tangent segments whose endpoints are the points of tangency and the fixed point outside the circle are equal. In other words, tangent segments drawn to the same circle from the same point (there are two for every circle) are equal.
Step-by-step explanation:
Four cats each ate 1/3 cup of canned food and 2/3 cup of dry food. How much food did they eat altogether?
Answer
KK
Step-by-step explanation:
1/3+2/3 so first u do 1+2=3 and u dont add 3+3 so there for it would be 3/3 or 1.
Answer:
The four cats ate 1 cup of food all together.
Step-by-step explanation:
1/3 + 2/3 = 3/3
3/3 as a simplified fraction is 1.
HELP Describe the graph for the solution for the following inequality
Answer:
Closed circle going right
Step-by-step explanation:
in the figure what is the value of x
Option B is the 100% right answer
Answer:
6√2 is your answer
relationship between perpendicular and hypotenuse is given by sin angle
sin45=p/h
sin45=6/x
x=6/sin45=6√2
There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy. Alia keeps all the cards down on a table with the pictures hidden and mixes them up. She then turns over one card and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alia turns over has a rose on it? (1 point)
Group of answer choices
4 over 5
5 over 7
4 over 7
5 over 8
Answer:
P = 4/7
Step-by-step explanation:
There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy.
Then we have a total of 8 cards.
Now Alia turns over one card, and this card has a picture of a rose, then she removes it.
This means that now there are 4 cards with a picture of a rose and 3 cards with a picture of a daisy, so now we have a total of 7 cards.
We want to find the probability that the next turned card has also a rose on it.
This will be equal to the quotient between the number of cards with a rose on it (4 cards) and the total number of cards (7)
Then the probability is:
P = 4/7
−
2
x
+
y
=
−
1
2
x
+
5
y
=
7
Answer:
I got you the answer is X = 14 and Y = 35
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 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
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
Find the measure of the angle indicated in bold.*
a. 40 degrees
b. 109 degrees
c. 54 degrees
d. 131 degrees
Answer:
131°
Step-by-step explanation:
the equations represent alternate exterior congruent angles so they are equal.
31x + 7 = 32x + 3
simplify:
4 = x
31(4) + 7 = 131°
Someone please help
Answer:
x = -3.73 or -0.27
Step-by-step explanation:
From the question,
x²+ 4x+1 = 0
This is a quadratic equation, and it can be solved using any of the 3 methods.
Using completing the square method,
x²+4x = -1
Add half the coeffiecient of x, square it and add it to both side of the equation.
The coefficient of x is 4,
half the cofficient is 2
Add 2² to both side of the equation
x²+4x+2² = -1+2²
(x+2)² = 3
x+2 = ±√3
x+2 = ±1.73
Either,
x+2 = -1.73
x = -1.73-2
x = -3.73
or
x+2 = +1.73
x = =1.73-2
x = -0.27