Answer:
40 cm
Step-by-step explanation:
The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
The value of p = 2.
How to find the value of p?Given:
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
Comparing x - 1 with x - a then
Substitute the value of x = 1, then we get
[tex]$1^3+p*1^2-1-2 = 0[/tex]
[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]
Apply rule [tex]$1^{a}=1$[/tex]
[tex]$&1^{3}=1,1^{2}=1 \\[/tex]
[tex]$&1+1 \cdot p-1-2=0[/tex]
Multiply: p-1 = p
1+p -1-2=0
Group like terms
p+1-1-2 = 0
Add/Subtract the numbers: 1-1-2 = -2
p-2 = 0
Add 2 to both sides
p-2+2 = 0+2
Simplify
p = 2
Therefore, the value of p = 2.
To learn more about polynomial function
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At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?
29.7°F + (1.23°F (2))
= 29.7°F + 2.46°F
= 32.16°F
#LearnWithEXO
please help me :DDDDDDDD
Answer:
x+5 > 4
Step-by-step explanation:
x+5 > 4 can be changed to
-5 . -5
x>-1
that is what is shown
1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper
Answer:
the 5 gallon
67.45 ÷ 5= $13.49
Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the following could be possible coordinates for vertex
(4.-0,5)
0 (-3.5, -3)
(-1.5, 1
(-4.5.-5)
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
[tex]\underline{(-4.5, -5)}[/tex]
Reason:
The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)
The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)
Required: The possible coordinates for a vertex on ZOID
Solution:
The given points of the trapezoid are the height of the trapezoid ZOID
The possible vertex of I, and O are;
I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)Therefore;
The option that gives the possible coordinates (position) of a vertex I is the option [tex]\underline{(-4.5, -5)}[/tex]
Learn more here:
https://brainly.com/question/12871672
Answer:
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
(-4.5.-5)
Step-by-step explanation:
A fair coin has a probability 0.5 of coming up heads. If you toss a fair coin twice, are you certain to get one head and one tail?
Answer:
no you cant be certain but you can.
Step-by-step explanation:
need an answer, please need an answer, please
Answer:
[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]
Answer:
Step-by-step explanation:
1) Determining the nature of roots:
Quadratic equation: ax² + bx +c = 0
Find D (Discriminant) using the D = b² - 4ac
If D = 0 , then the two roots are equal.
If D > 0, then the equation has two distinct real roots.
If D < 0, then the roots are complex/ imaginary.
One can find the sum and product of the roots using the below mentioned formula.
1) sum of roots = [tex]\frac{-b}{a}[/tex]
2) Product of roots = [tex]\frac{c}{a}[/tex]
If sum and product of the roots are given, one can frame the quadratic equation by x² - (sum of roots)*x + product of roots = 0
2) i) x² - 6x + 9 = 0
a = 1 ; b = -6 and c = 9
D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0
D = 0. So, two equal roots
ii) x² - 4x + 3 = 0
a = 1 ; b = -4 ; c = 3
D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4
D > 0. So, two distinct real roots.
iii) x² - 4x - 3 = 0
a = 1 ; b = -4 ; c = -3
D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0
D > 0. So, two distinct real roots.
iv) x² - 4x + 7 = 0
a = 1 ; b = -4 ; c = 7
D =(-4)² - 4 *1 *7 = 16 - 28 = - 12
D< 0. So, two imaginary/ complex roots.
standard form of 1.23 * 10 to the 11th power
1. Convert to decimal notation
The exponent is 11, making it 10 to the power of 11. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 11 time(s):
[tex]1.23 -> 123000000000[/tex]Evaluate.
8(19−6⋅2)
enter the answer in the checkbox.
Answer:
102.4
Step-by-step explanation:
8(19-6.2)
8(12.8)
102.4
Answer:
102.4
Step-by-step explanation:
I looked it up on mathaway there is no explanation
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
please mark this answer as brainlist
the square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
fraction: 62/100=31/50
decimal: 0.62
percentage: 62%
Step-by-step explanation:
What is the slope of the line?
Ay
4
m =
2
-
-
x
-4
-2
2.
4
-2
-4
Answer:
1/4
Step-by-step explanation:
1. To find the slope, you can use the formula [tex]\frac{rise}{run}[/tex] to find it!
2. Rise means how many units you go up and down from point to point, and run means how far you go left or right from point to point.
3. Given the statement above, the rise would be 1, and the run would be 4.
4. Now, since slope is (rise)/(run), the slope is 1/4 because one divided by four is equal to one fourth.
What’s the new function of g(x)
Answer:
The answer is the first one. It's also in my picture that I included
Let's consider F(x) = x to be the parent function. Write a linear function whose graph is
shifted left 3 units, reflected over x-axis and then shifted up 5 units in this exact order.
Answer:
-3
Step-by-step explanation:
I Think :D
please i dont know how to do this
Which of the following does NOT have a unit price of $24 for one sweater?
$38 for 2 sweaters
$72 for 3 sweaters
$96 for 4 sweaters
$120 for 5 sweaters
Answer:
$38 for 2 sweaters
Step-by-step explanation:
$38 for 2 sweaters ---> $38/2 = $19
$72 for 3 sweaters
$96 for 4 sweaters
$120 for 5 sweaters
OMG I NEED HELP BADLY RN
n which quadrant does the point (6 , -1) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
C) Quadrant 4
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answer:
w=-1
Step-by-step explanation:
Algebra.
Answer:
w = - 1Step-by-step explanation:
–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1The perimeters of the triangles shown are equal. Find the side lengths of each triangle.
AB =
PQ=
QR =
BC=
AC =
PR =
Answer:
3x +9 + 3x + 3x +8 = 3x + 3x + 4x + 6
9x + 17 = 10x + 6
x = 11
AB 42
BC 41
AC 33
PQ 33
QR 33
PR 50
Answer:
x = 11
Step-by-step explanation:
if the perimeters are equal then:
the perimeter of the first triangle : 3x + 9 + 3x + 3x + 8 = 9x + 17
the perimeter of the second triangle : 3x + 3x + 4x + 6 = 10x + 6 and
9x + 17 = 10x + 6 export like terms to the same side of the equation
17 - 6 = 10x - 9x
11 = x
we can find the lengths by replacing x with 11 in given expressions.
Question:
Ten students each submit one essay for competition.
In how many ways can the first, second, and third prizes be awarded?
NEED FULL EXPLANATION!!!
NO LINKS!!!
PLEASE!!!!
what is happend here haha
Answer:
720 ways
Step-by-step explanation:
First place has 10 choices. First prize is chosen. So, 9 students are left.
Second place has 9 choices.
First and second prizes are chosen. Now 8 students are left
Third place has 8 choices.
Total ways = 10 * 9 * 8 = 720 ways
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
To learn more about the ratio of areas,
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*This problem is all about Multiplication Comparison*
How long is Pine Street?
Answer:
7
Step-by-step explanation:
Pine Street in x miles long.
Maple street is 3 times as long as Pine Street, so Maple street is 3x miles long.
Maple street is 21 miles long.
3x = 21
x = 7
Maple Street is 7 miles long.
Please help! ASAP :)
what expression can be used to find the number of 6ths in 3 wholes?
Choose ALL the correct answers!!!
1/6*6
6 divided by 1
3*6
3 Divided by 1/6
1/6 divided by 1
Answer:
B. 3*6C. 3 divided by 1/6Step-by-step explanation:
Number of 1/6 in 1 is 6.
Number of 1/6 in 3 is:
3 ÷ (1/6) = 3*6 = 18Correct choices are B and C
There are 6 1/6 exist between 1 and 0
No of 1/6 between 3 wholes:-
[tex]\\ \sf\longmapsto 3\div \dfrac{1}{6}[/tex]
[tex]\\ \sf\longmapsto 3\times 6[/tex]
[tex]\\ \sf\longmapsto 18[/tex]
Options B and C
A box is in the shape of a triangular prism. . The base of the triangular face of the box is 11 centimeters (cm). The height of the triangular face of the box is 7.5 cm. The length of the box is 15 cm. V =1/2hxbxl What is the volume of the box? A 277.5 cm B 577.5 cm C 618.75 cm D1237.5 cm
Answer:
[tex]618.75 cm^{3}[/tex]
Step-by-step explanation:
[tex]\frac{(11 cm)(7.5 cm)(15 cm)}{2} =618.75 cm^{3}[/tex]
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
IGNORE THE BOTTOM ONE PLEASE HELP
Answer:
see explanation
Step-by-step explanation:
∠ A and ∠ FCE are corresponding angles and are congruent , then
∠ A = 150°
∠ FCE and ∠ C are vertically opposite angles and are congruent , then
∠ C = 150°
∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°
∠ ECB = 180° - ∠FCE = 180° - 150° = 30°
∠ E = 180° - (30 + 45)° ← sum of angles in a triangle
∠ E = 180° - 75° = 105°
∠ CBE and ∠ D are same- side interior angles and sum to 180° , then
∠ D = 180° - 45° = 135°
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
The perimeter of the rectangle below is 50cm.
find the value x
Answer: 13
Step-by-step explanation:
12 x 2 = 24 (because of the two sides)
50 - 24 = 26 (to find the remaining amount)
26 / 2 = 13 (to equally distribute the remaining amount.)
MULTIPLE CHOICE QUESTION
What is the highest degree of a polynomial
that can be used as a divisor in synthetic
division?
Explanation:
Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.
An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.
