Given the roots of 4 and -2 find the equations of the quadratic.
4 points
Answer:
p(x) = x² - 2x -8
Step-by-step explanation:
We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,
[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]
Where k is constant . Substitute respective values ,
=> p(x) = k [ x² - ( a + ß )x + aß ]
=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]
=> p(x) = k [ x² -2x - 8 ]
If k = 1 ,
=> p(x) = x² - 2x - 8
3 cm
10 cm
4cm
What is the volume, in cubic centimeters, of the object?
A 32
B 40
C 44
D 128
Answer and Step-by-step explanation:
The volume would be 120, which isn't anything of the options listed.
This is because to find the volume of a cube, you multiply the base times the width times the height.
#teamtrees #PAW (Plant And Water)
Julie rolled a fair number cube 12 times. The table below shows the results.
Number Cube Results
Number
on Cube
Number of
Times Rolled
1
1
2
4
3
1
4
2
5
1
6
3
Answer:
Looks good to me, but I don't see any question to answer.
Step-by-step explanation:
Cube Number 1 2 3 4 5 6
Number Results 1 4 1 2 1 3 rolled cube 12 times
1 + 4 + 1 + 2 + 1 + 3 = 12
2/7 ÷3/4 in simplest form
Answer:
[tex]\frac{8}{21}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] ÷ [tex]\frac{3}{4}[/tex]
to divide fraction, take the reciprocal of the second fraction and multiply it by the first fraction:
[tex]\frac{3}{4} = \frac{4}{3}[/tex]
[tex]\frac{2}{7}[/tex] × [tex]\frac{4}{3}[/tex]
multiply like normal:
[tex]\frac{2}{7}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{21}[/tex]
Answer:
8/21
Step-by-step explanation:
2/7 * 4/3 = 8/21
Help me with this!!!!
Answer:Really I just answered this for you. What you don't believe me? It's 30
1)Name a pair of corresponding angles
2)name the relationship between angle 3 and angle 6
3) name the relationship between angle 4 and 6
HELPP WILL MARK B IF CORRECT!!!!!
Answer: 1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
Step-by-step explanation:
1) 1&5 ; 2&6; 3&7; 4&8
2) Alternate interior angles
3) Consecutive interior angles
please explain how to do this
Answer:
Step-by-step explanation:
50 Points | Use Markup If Possible | Giving Brainliest | Reporting False Answers |
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
:
Top: Quadrilateral
Down 1
Left: Kite
Right: Trapezoid
Down 1
Left: Parallelogram
Right: Isosceles trapezoid
Down 1
Left: Rhombus
Right: Rectangle
Down 1
Square
!
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-
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Top: Quadrilateral
Down 1
Left: Kite
Right: Trapezoid.
Down 1
Left: Parallelogram
Right: Isosceles trapezoid
Down 1
Left: Rhombus
Right: Rectangle
Down 1
Square
Victor wants to buy fertilizer for his yard. The yard is 45 feet by 55 feet. The direction on the bag of fertilizer say that one bag will cover 1,250 square feet. How many bags of fertilizer should Victor buy to be sure that he covers the entire yard? 2 SEE ANSWERS
Answer: 2 bags
Step-by-step explanation:
First find the area of the yard.
The area given the units would be:
= Length * Width
= 45 * 55
= 2,475 ft²
Victor needs enough fertilizer to cover 2,475ft² but each bag covers only 1,250 ft².
The number of bags needed is therefore:
= 2,475 / 1,250
= 1.98
= 2 bags
Find the probability of drawing a Club 2 through 6 on the first draw, replacing it and
drawing a black card on the second draw.
Answer:
= 0.0471 or 4.71%
Step-by-step explanation:
(5/52) x (25/51)
= 0.04713423831
ASAP PLEASE HELP!!! Find the measure of DE.
Answer:
C is the answer
Step-by-step explanation:
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The measure of side DE is 12.3.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
In the given triangle the length of the side DE can be found using the law of cosine. Therefore, the length of the side DE can be written as,
DE² = DF² + EF² - 2(EF)(DF)(Cos 59°)
DE² = 144 + 169 - 2(12 × 13 × Cos 59°)
DE² = 144 + 169 - 160.6918
DE² = 152.30812
DE = 12.3413 ≈ 12.3
Hence, the measure of side DE is 12.3.
Learn more about the Law of Cosine:
https://brainly.com/question/17289163
#SPJ5
you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.
Answer:
22.5km per hour
Step-by-step explanation:
Solve for :
92 + 210
48 + 140
Rep
48+140=188
92+210=302
if you at all it equals 490
I need help please!!!
Evaluate 12.3p + 11.5r when p = 6 and r = 7.
Step-by-step explanation:
12.3(6) + 11.5(7)
73.8 + 80.5 = 154.3
The set of even numbers that can be be divided by 3 is
a number is divisible by 3 if the sum of its digits is divisible by 3. 375, for instance, is divisible by 3 since sum of its digits (3+7+5) is 15. And 15 is divisible by 3. 1+2=3 and 3 is divisible by 3
Answer:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ect
Step-by-step explanation:
keep adding 3+3, then 3+6 and so on, then when you go as far as you want, look back at all the even numbers
Angle 4 and angle _____ are alternate interior angles
Answer: Angle 5
Step-by-step explanation:
The transversal is the line in between the two angles, and they are interior as they are inside two other lines, they are also alternate, thereby making them alternate interior angles.
Answer: 5
hope this helps be nice if its wrong <3
Please help AP3X Learning
Answer:
D
Step-by-step explanation:
PLEASE HELP!!
Please also explain your answer so I'll know how to solve next time
Answer:
D=121
Step-by-step explanation:
First fin the angles on the inside using the outer angles. Always use 180 as your main number to subtract from. 180-131 = 49 180-108= 72 72+49=121
180-121=59 180-59=121
Or an easier way is to see if your outer angles equal up to 360
So 131+108=239
360-239=121
And there's your solution.
plEaSe seND HELP
Matt's aquarium is shaped like a rectangular prism. The base of his
tank has sides with lengths of 4.2 feet and 14.1 feet. If the height
of the tank is 9 feet, what is the total surface area of the tank?
A. 283.14 square feet
B. 329.4 square feet
C. 447.84 square feet
D. 532.98 square feet
Answer: C
Explanation:
Formula for SA of a rectangular prism: [tex]SA = 2(lw + lh + wh)[/tex]
Plug in length, width, and height
[tex]SA = 2((4.2)(14.1)+(4.2)(9)+(14.1)(9))[/tex]
[tex]SA = 447.84[/tex] ft
PLZ HELP (will mark brainliest for correct answers, that means no links)
Answer:
y= -5
Step-by-step explanation:
-3(4) +9y = 57
-12 + 9y = 57
-12 + 12 + 9y = 57 + 12
9y/9 = -45
y= -5
1. 12x2y when x=2 & y=3
2. 4s+8p+16g when s=2, p=3, & g=4
Answer:
Okay first I'll reply to the question one. If x is 2 and there's 12x, you need to multiply 12 by 2 and the reply is 24. For the y, it's almost the same thing, you multiply 3 by 2. The final reply is 24 for x and 6 for y. For the second answer it's the same principe, if s = 2 and in the equation is 4s, you just need to do 2 multipliate by 4. So at least, the reply is 8 for the var s. For the p, the answer is 24 because, 8 multipliate by 3 is 24. Finally for the g, you just need to multiply 4 and 16 and the reply is 64. So the final answer of your second question is 8+24+64.
Step-by-step explanation:
HELP ME PLZ 20 POINTS AND BRAINLIEST
Answer:
35.9 units cubed
Step-by-step explanation:
Hello There!
The figure shown is a rectangular prism
The formula for volume of a rectangular prism is
Length times width times height
The dimensions for the shown figure are given
height = 4 1/2
length = 2 1/8
width = 3 3/4
given this information we just plug it in to the formula
so
[tex]V=3\frac{3}{4}*4\frac{1}{2} *2\frac{1}{8}[/tex]
then we plug it in to a calculator and get that the volume is equal to
35.859375
finally we round to the nearest tenth and get that the volume is equal to
35.9 units cubed
What would this be? Sin,tan, or cos
Answer:
it's answer is Sin
Step-by-step explanation:
sin=P÷B
How do you find the y-intercept of a line if you have the slope and a point? Describe the steps in order.
Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.
Hope that helps!!!!
Answer:
it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis.
Step-by-step explanation:
I hope this picture help you
Solve this for points please..
Answer:
I think that Aliya is paid 3 dollars more than Eric per hour .
Which is the net for this rectangular prism?
Answer:
On the left the one down below
Step-by-step explanation: I check it to make sure it was right
Look at picture. Choose a similarity statement for the triangles. Be sure the correct order of corresponding angles is used.
Answer:
C) ΔCDE similar ΔFGH
Step-by-step explanation:
Please please please help!!
Answer:
x = 138° because they are alternate interior angles. Alternate interior angles are congruent.
Step-by-step explanation:
the angles of quadilateral are, x,2x,3x and 4x find the value of x
Answer:
the angle sum of quadrilateral is 360 degree
x+2x+3x+4x = 360
10x=360
x= 360/10
x= 36
1 angle= 36
2 angle= 2*36=72
3 angle =3*36=108
4 angle= 4*36= 144
Step-by-step explanation: