Find the value of A, B and C, given that 2z^2 + z + C = A (z+1)^2 + B (z+1) + 4 for all values of z. Please show the step by step process. :)
2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?
Answer:
Step-by-step explanation:
two angles are said to be supplementary if their sum is 180 degrees
Hence <1 + <2 = 180
Given
<1 = 28
Required
<2
Substitute into the formula
28+<2 =180
<2 = 180-28
<2= 152
Hence the measure of <2 is 152 degrees
Evaluate - (2-6)(23).
O A. 8
O B.
1
8
Oc.
1
8
D. -8
Answer:
-92.
Step-by-step explanation:
2 - 6 is -4.
-4 x 23 is -92.
Participation Quiz 10-23-2020 NEED HELP PLZZZZZ!!!!
Question 1 options:
m∠A = _____˚
m∠B = _____˚
m∠C = _____˚
m∠X = _____˚
m∠Y = _____˚
m∠Z = _____˚
Segment AB = _____ units
Segment BC = _____ units
Segment AC = _____ units
Segment XY = _____ units
Segment YZ = _____ units
Segment XZ = _____ units
Answer:
angle A is 53°
angle B is 90°
angle C is 37°
angle X is 53°
angle Y is 90°
angle Z is 37°
AB=3
BC=4
AC=5
XY=3
YZ=4
XZ=5
The definition of a circle uses the undefined term _______.
arc
line
plane
ray
Answer:
I believe the answer is plane
Step-by-step explanation:
Answer:
plane
Step-by-step explanation:
can someone please help me
64 because 4 turns into -8 -8 turns into 16 and 16 turns into -32 so it must be 64
how many regions are in Ghana
Answer:
Ghana Has 16 regions.
Step-by-step explanation:
Answer:
16 regions
No explanation because it isn't needed
What is the equation?
Answer:
9/1 x 3/1
Step-by-step explanation:
Numbers between 380 and 410 divisible by 2,5, and 10
Answer:
Did you try this is a piece of cake
Step-by-step explanation:
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
Michael saw a pair of jeans that he really wants to buy. The price of the jeans is $25.60. He saw that they go on sale for weekend and will be 15% off. How much will he save?
Answer:
$21.76
Step-by-step explanation:
15% of $25.60= $3.84
$25.60-$3.84= $21.76
I don't get how to do this, can someone help?
Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked was 3:10. Use Scratchpad to draw tape diagrams to represent this ratio. How many miles did Nash run in week 11?
Answer:
78
Step-by-step explanation:
you do 3 *26
Answer please I’ll give you branliest
Divide 28 of soda into two groups so the ratio is 3 to 4
Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16
Step-by-step explanation:
The marching band walks mile in 2.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your answer below.
Answer:
2.5 minutes
Step-by-step explanation:
The answer is given in the word problem.
1) Qual a área lateral do prisma triangular regular, cuja aresta da base mede 5 cm e a altura 10 cm ? *
1 ponto
Imagem sem legenda
a) 50 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
2) Um prisma triangular regular tem a aresta da base igual à altura. Calcular a área total do sólido, sabendo-se que a área lateral de uma das faces é 10 m². *
1 ponto
a) 5 (√3 + 6) m²
b) 2√3 + 36 m²
c) 56 m²
d) 2 (√3 + 6) m²
Answer:
1) c) 150 cm²
2) a) 5 (√3 + 6) m²
Step-by-step explanation:
1) A fórmula para a área lateral do prisma triangular regular é
L.A = Perímetro × Altura
Perímetro = 3 × borda da base
L.A = 3 × 5 cm × 10 cm
L.A = 150cm²
Opção c. 150cm² é a opção correta²
2) Diz-se na pergunta que a área lateral de uma das faces = 10m²
A área lateral de todo o prisma = 3 × 10m²
= 30m²
Onde a borda da base = altura
A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base
Portanto, Altura = √10m
= Borda da base = √10m
A área de superfície total de um prisma triangular é:
2B + Ph
Ph = área de superfície lateral
B = Área de Base
2 (Área da Base) = 2( Borda da Base² × √3/4)
2 (Área da Base) = 2((√10)² × √3 / 4)
2 (Área de Base) = 2(10√3/4)
= 20√3/4
2 (Área da Base) = 5√3 m²
A área de superfície total de um prisma triangular é:
2B + Ph
= 5√3 m² + 30 m²
= 5 (√3 + 6) m²
Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?
Answer:
5 tickets
Step-by-step explanation:
45.50t + 14.99 = 242.49
-14.99 -14.99
45.50t = 227.5
t = 5
38.5 divided by 0.5 simplified
Answer:
77
Step-by-step explanation:
38.5 ÷ 0.5 = 77
77 x 0.5 = 38.5
(think of 5 x 7)
0.5 x 70 = 35 (3.5 left)
0.5 x 7 = 3.5 (0 left)
70 + 7 = 77
Pleas help me!!!!!!!!!!!!!!!!!!!
Answer:
for 14).....ans: 0.01
Step-by-step explanation:
convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.
hope this was useful!
I don’t under this .
Answer:
The answer is QR,RS, and ST
Step-by-step explanation:
i hope this helps .
If f(x) = 2(x - 5), find f(8).
4
6
8
16
Answer:
6
Step-by-step explanation:
So, eq. 8 in f(x)
f(8)=2(8-5)
=2(3)
Multiplying,
=6
Pls Mark me brainliest!!!
Answer:
if (x-5) is an exponent: the answer is 8
Step-by-step explanation:
Substitute:
f(8)=2(8-5)
f(8)=2(3)
f(8)=8
which one is the warmest and why please
Answer:
the warmest is wilmington
Step-by-step explanation:
it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives
Answer:
Wilmington
Step-by-step explanation:
All the others are negative, but Wilmington is zero degrees which is non negative.
I need the answer plzz help me
Answer: A) a translation 3 units down
Step-by-step explanation: Notice how your y-values are decreasing by 3.
y-values only increase or decrease, so if they’re decreasing, they are going down.
Hope this helps!
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?
Answer:
Since it is a to-scale model,
the ratio of the wingspan to the length of both the airplanes must be equal
wingspan1 = 200 ft wingspan2 = 30 cm
length1 = 240 ft length2 = x cm
wingspan1 / length1 = wingspan2/length2
replacing the variables
200 / 240 = 30 / x
x = 30 * 240/200
x = 36 cm
Therefore, the length of Emma's airplane is 36 cm
Answer:
Step-by-step explanation:
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
Answer the answer to your question is $7.50
que es suma y resta de fracciones homogeneas
Answer:
responder
Step-by-step explanation:
Para sumar y restar fracciones, sus denominadores deben ser iguales. Por tanto, sumar o restar fracciones homogéneas es más fácil, dado que ya tienen el mismo denominador.
Answer:
Recuerda que cuando se suman fracciones homogéneas se hace lo mismo que cuando se suman objetos del mismo tipo. Por ejemplo, la suma tres décimos más dos décimos da como resultado cinco décimos: , por la misma razón que sumar tres vacas más dos vacas da como resultado cinco vacas.
Step-by-step explanation:
how many quarts are there in 20 pints
Answer:
Since 1 quart is 2 pints, there are 10 pints in 20 quarts.
Step-by-step explanation:
Answer:
There are 10 quarts in 20 pints
Step-by-step explanation:
1 pint is equal to 0.5 quarts, So if you multiply 0.5 by 20, you get 10.
Learning Task 4. Solve the problem. Estimate the total amount. Mr. Cruz's monthly
income is P75,000.00. He divide his income to the following expenses:
Food: P 22, 450.89
Recreation: P5, 676.63
Clothes: P 15,670.25
Transportation: P 10,067.15
Step-by-step explanation:
Answer: 21,135.08
Step-by-step explanation: because
22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92
so now 75,000 - 53,864.92 = 21,135.08 that's it
Bethany uses the equation d=3.75h to find the distance, d, she travels while walking for h number of hours. what is the constant of proportionality between d and h? show your work
Answer:
The constant of proportionality between d and h is 3.75
Step-by-step explanation:
The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:
y=m*x
The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).
You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours. Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.
So, the constant of proportionality between d and h is 3.75