Answer:
1/4 and -1Step-by-step explanation:
For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.
Discriminant D = b² - 4ac = 0
Given the equation
x^2 − 2(2k + 1)x + (k + 2) = 0
From the equation, a = 1, b = -2(2k+1), c = k+2
a = 1, b = -4k - 2, c = k+2
Substitute into the discriminant formula;
Recall that: b² - 4ac = 0
(-4k - 2)²-4(1)(k+2) = 0
16k²+16k + 4 - 4k - 8 =0
16k²+12k - 4 = 0
16k²+16k - 4k - 4 = 0
16k(k+1)-4(k+1) = 0
16k - 4 = 0 and k+1 = 0
16k = 4 and k = -1
k = 4/16 and k = -1
k = 1/4 and -1
Hence the required value of k is 1/4 and -1
What is the value of x?
Answer:
45
Step-by-step explanation:
Answer:
value of x=1
Step-by-step explanation:
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft what is the height corresponding to the 8 ft base
Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.
8. According to the scores on the last math test, 80% or 20. of the students in the class received an A. Find the number of students in the entire class.
Answer:
24
Step-by-step explanation:
20+20% is equal to 24.
Write 5.5% as a fraction in simplest form
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
Write and solve the equation modeled below.
Statement: If 3x = 6, then x = 2. What is the contrapositive of the statement? Emeans not equal
Answer:
x=2
Step-by-step explanation:
you are correct for x=2 because 6 divided by 3 is 2
can someone please help me im strugging bad
Answer:
120
Step-by-step explanation:
Answer:
x+6y=20
x=8, y=2
Andy did 8 problems
Step-by-step explanation:
2 – Efetue:
a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)
preciso disso pra agora
A) [tex]7x(-5)[/tex]
A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]
[tex](7x5)[/tex]
Multiplique os valores
[tex]-35[/tex]
resposta para A: [tex]-35[/tex]
B)[tex](-9)x(-8)[/tex]
A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]
[tex]9 x 8[/tex]
Multiplique os valores
[tex]72[/tex]
Resposta para B :[tex]72[/tex]
C)[tex](-15) : 5[/tex]
A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]
[tex]-(15:5)[/tex]
Divida os números
[tex]-3[/tex]
Resposta para C: [tex]-3[/tex]
D) [tex]125 : 25[/tex]
Divida os números
[tex]5[/tex]
Resposta para D: [tex]5[/tex]
POR FAVOR ME MARCA BRAINLIEST
Seleccionamos los valores de x y y que sean soluciones de los sistemas de ecuaciones planteados x + 3 = y x2- 16y2 = 0
Responder:
Los valores de y son 3/5 y -1
Los valores de x son = -12/5 y -4
Explicación paso a paso:
Dadas las eqautions;
x + 3 = y ...... 1
x ^ 2- 16y ^ 2 = 0 ..... 2
Sustituya la ecuación 1 en 2 que tendremos;
x ^ 2- 16y ^ 2 = 0
x² - 16 (x + 3) ² = 0
x²-16 (x² + 6x + 9) = 0
x²-16x²-96x-144 = 0
-15x²-96x-144 = 0
15x² + 96x + 144 = 0
5x² + 32x + 48 = 0
Al factorizar tendremos;
5x + 12 = 0 yx + 4 = 0
x = -12/5 y -4
Obtenga los valores de y;
recuerda que y = x + 3
Si x = -12/5
y = -12/5 + 3
y = 3/5
Si x = -4
y = -4 + 3
y = -1
Por tanto, los valores de y son 3/5 y -1
Mr. Miller has a 20-foot ladder, which he
wants to reach 18 feet up the side of his
house. To the nearest foot, how far from the
base of the house should he place the
ladder?
Answer:
8 ft
Step-by-step explanation:
the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.
Solve for the base of the right angle triangle using pythagorean's theorem:
c=20, a=18, b=?
[tex]b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}[/tex]
[tex]b=\sqrt{72}[/tex]
[tex]b= 8.49 ft[/tex]
round to the nearest foot,
b = 8 ft
need answer fast
in a wood there are oak trees and beech trees in the ratio 2:9 if there is 42 oak trees how many beech trees are there
Answer to the problem: 189 beech trees
PLEASE HELP ME!!!!!:)
Answer:
A=2.5
B=2
Step-by-step explanation:
A parallelogram has to have the opposite sides equal each other. In this case side LM and side ON have to be equal.
We can compare the two sides using algebra.
4b+7=8b-1
Using simple methods, we can isolate b on a single side.
1+7=8b-4b
8=4b
b=2
From this we learn b is 2. To find out the value of A on side MN and LO, we will plug in the value for b at all instances of B in this equation.
2a = 2b+1
2a = 2(2)+1
2a=4+1
2a=5
a=2.5
I mark brainlist and 16 points
Jimmy is on a cross-country trip and wants to drive at least 325 miles each day. So far today, he has driven 95 miles. Write an inequality to find the number of miles, m, that Jimmy must drive to meet his daily goal.
A. 95m _>325.
B. 95+m _< 325.
C 95+m_>325
Answer:
C orB looks like it
Step-by-step explanation:
is 379,098 divisible by 9
[tex]\huge\sf\bigstar\underline{\underline\pink{Answer:-}}[/tex]
Yes, The number 379,098 is divisible by 9
As, the divisibility rule of 9 is sum of all digits is divisible by 9.
Here, 3+7+9+0+9+8
[tex]\orange\Rightarrow[/tex] 36
36 I'd divisible by 9.
[tex]\therefore[/tex] 397,098 is divisible by 9.
There are 108 ducks at the zoo if 75% are brown how many brown ducks are at the zoo
Answer:
The answer would be 81 brown ducks.
Step-by-step explanation:
All we have to figure out 75% of 108.
0.75 multiplied by 108 is 81
So the answer would be 81 brown ducks.
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Hope this helped! If it did, please consider making this brainliest! :)
In the right triangle shown, m
A small container of detergent holds 75% as much as the large container of detergent. If the small container hold 36 ounces, the large container will hold ounces.
Answer:
48 ounces
Step-by-step explanation:
Let the amount in small container be x and that of largest be y
If a small container of detergent holds 75% as much as the large container of detergent, this can be represented as;
x = 75% of y
Given x = 36
36 = 75% of y
36 = 0.75y
y = 36/0.75
y = 48 ounces
Hence the large container will hold 48 ounces
The hypotenuse of a right angled triangle is 24cm. The other two sides are such that one is 5cm longer than the other. Find the length of other two sides.
What is the graph of each function rule? 2x²– 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,−2)
Focus:
[tex] (0 , - \frac{15}{8})[/tex]
Axis of Symmetry:
x
=
0
Directrix: y =
[tex] - \frac{17}{8} [/tex]
PLEASE I NEED THIS DONE BY MIDNIGHT HELP
Khalid and Jesse took different overnight trains.
The graph shows the relationship between the total distance Khalid traveled and the time in hours.
The distance Jesse traveled after x hours is given by the equation y = 150x. Who, if anyone, traveled at a faster speed?
Use the drop-down menus to explain your answer.
Khalid’s rate is ____ miles per hour. Jesse’s rate is ____ miles per hour. So, ____ train traveled at a faster speed.
Answer:
Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.
Step-by-step explanation:
The general equation of a straight line is
y = mx + b
for y = 150x
We have the slope as 150
This is 150 miles/hour
This relates to Jesse’s train speed
for Khalid, we have his own speed obtainable from the graph
The speed is simply the slope of the graph
We proceed to select two points from the graph and find the slope
The points are; ((1,140) and (4,560)
Mathematically, the slope will be;
m = (y2-y1)/(x2-x1)
m = (560-140)/(4-1) = 420/3 = 140 miles per hour
8. What is the equation in slope-intercept from of the line that passes through the points (-4,2) and (12,6)?
Two friends, Ellie and Easton, took summer jobs. The equation y = 19.2x represents Ellie's earnings in dollars and cents, y, for working x hours. Easton earned $629.10 in 27 hours.
Answer:
I don't know what's I don't know I'm really sorry very very very very very very very very very very very very sorry very sorry
Ruin Christmas in just 4 words
If i think your comment is the best ill give you brainilist
The eggnog is spiked
lol
if it cost $3.75 for 5 tickets how much does it cost for 1
Answer:
0.75
Step-by-step explanation:
your welcome
Please help im bad at math
Eileen is 21 years old, which is 6 less than 3 times Minnie’s age in years. Write an equation to find Minnie’s age. How old is Minnie?
A. 4
B. 3
C. 5
D. 9
Answer: Minnie is 9 years old
Step-by-step explanation:
Eileen = e = 21
Minnie = m
E = 3m - 6
3m - 6 = 21
3m = 27
m = 9
Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x and match each solution to its number line graph. Two less than 2 of a number (x) is no more than 53 The sum of two times a number (X) and-2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13 Four added to 3 times a number (x) is less than 19. Number Line Graph Inequality -5 -2 1 0 1 2 4 6 -6 1 4 1 3 4 5 -6 -5 5
Answer:
1. The sum of two times a number (x) and -2 is at least 8 is first
2. Seven subtracted from 4 times a number (x) is more than 13 is second
3. Four added to 3 times a number (x) is less than 19 is third
4. Two less than 3/2 of a number (x) is no more than 5 1/2 is last
LOVE YOUR PFP!!!
Step-by-step explanation:
Answer:
1. Two less than 3/2 of a number (x) is no more than 5 1/2 is last
2. Seven subtracted from 4 times a number (x) is more than 13 is second
3. Four added to 3 times a number (x) is less than 19 is third
4.The sum of two times a number (x) and -2 is at least 8 is first
Step-by-step explanation:
got it right
please help I will give you brainliest
Answer:
9x² + 16y² - 24xy
Step-by-step explanation:
(3x - 4y)²
⇒ (3x)² + (4y)² - 2 (3x) (4y) {(a - b)² = a² + b² - 2ab}
⇒ 3²x² + 4²y² - 2 (12xy)
⇒ 9x² + 16y² - 24xy
6x2 - 19x + 15
Helpp
Answer: -19+27
Step-by-step explanation:
expand and simplify 5(2x+1)-2(3x-6)
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
Anyone please I need the first one plz
Answer:
-1/2
Step-by-step explanation: