Answer:
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
[tex]2\cdot x + y = 6[/tex] (1)
[tex]a\cdot x + b\cdot y = 9[/tex] (2)
The following condition must be observed:
[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)
After some quick operations, we find the following information:
[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
a friend is buying flowers for mothers day. because it is a friends 38th birthday, your friend wants to have 38 of her favorite flowers. her favorite flowers are daisies at $1.50 each and tulips at $2.50 each. IF the total bill is $67 how many tulips were bought?
Answer: She bought 28 daises and 10 Tulips.
Step-by-step explanation:
Let x represent the number of daises bought.
Let y represent the number of tulips bought.
Your friend want to have 38 of her favorite flowers. This means that
x + y = 38
Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that
1.5x + 2.5y = 67 - - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
1.5(38 - y) + 2.5y = 67
57 - 1.5y + 2.5y = 67
- 1.5y + 2.5y = 67 - 57
y = 10
x = 38 - y = 38 - 10
x = 28
Answer: She bought 28 daises and 10 Tulips.
Step-by-step explanation:
Let x represent the number of daises bought.
Let y represent the number of tulips bought.
Your friend want to have 38 of her favorite flowers. This means that
x + y = 38
Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that
1.5x + 2.5y = 67 - - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
1.5(38 - y) + 2.5y = 67
57 - 1.5y + 2.5y = 67
- 1.5y + 2.5y = 67 - 57
y = 10
x = 38 - y = 38 - 10
x = 28
please help me asap im so confused
Answer:
RPT = 208
Step-by-step explanation:
Arc ST = 97 Given
Arc RP = 180 - 97 Straight line
Arc RP = 83
Arc PT = 125 Given
Arc RPT = 125 + 83 Add the two arcs together.
Arc RPT = 208
The value of y varies directly with x. When y = 79, x = } .
What is the value of y when u is 3 1/4?
Can anyone help ?
The answer is 493 if you don't add the decimal.
If you do it's 493.5.
You're Welcome :)
How can I find the height of a pyramid that has a base of 13m and a 13m lateral height
Answer:
Dnnd
Step-by-step explanation:
Answer:
The lateral faces meet at a common vertex. The height of the pyramid is the perpendicular distance from the base to the vertex. A pyramid is a regular pyramid if its ... A triangular pyramid has a triangle base. regular pyramid. A right pyramid is ...
Missing
Step-by-step explanation:
If the circumference of a circle is 31.4 feet , What is the radius of the circle use 3.14 for π
Answer:
144
Step-by-step explanation:
Pls help rationalize
Answer:
1= 0.109
2= 3.46
3 = -(minus)1.24
Step-by-step explanation:
Answer:
See answers below.
Step-by-step explanation:
All of these use the same idea: multiply numerator and denominator by the conjugate radical (an identical expression but with the sign between terms changed).
[tex]\frac{1}{13-\sqrt{15}}\cdot\frac{13+\sqrt{15}}{13+\sqrt{15}}=\frac{13+\sqrt{15}}{169-15}}\\\\=\frac{13+\sqrt{15}}{154}[/tex]
[tex]\frac{1}{\sqrt{13}-\sqrt{11}} \cdot \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}+\sqrt{11}}=\frac{\sqrt{13}+\sqrt{11}}{13-11}\\\\=\frac{\sqrt{13}+\sqrt{11}}{2}[/tex]
[tex]\frac{1}{\sqrt{21}+\sqrt{29}}\cdot\frac{\sqrt{21}+\sqrt{29}}{\sqrt{21}+\sqrt{29}}=\frac{\sqrt{21}+\sqrt{29}}{21-29}\\\\=\frac{\sqrt{21}+\sqrt{29}}{-8}[/tex]
Note: Here's an example of what happens when you multiply conjugate radicals.
[tex](\sqrt{13}-\sqrt{11}})(\sqrt{13}+\sqrt{11})=13-\sqrt{11}\sqrt{13}+\sqrt{13}\sqrt{11}-11=13-11[/tex]
When you FOIL those binomials, the square roots go away!
will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not
asap
When y=8, the value of y2−4 is
Help would be nice! Question is can you help me?
All you have to do is find the surface area, free brainliest if you get it right simple as that
No links or stuff like that
Otherwise I will eat your family :)
Answer:
84
Step-by-step explanation:
you just got to do 12 * 14 , then divide by 2. so the answer is 84
for the entire thing, the area would be 480
PLSS HELP MATH I NEED NOW I WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
D
Step-by-step explanation:
If you solve y = -x - 2 you can plot (-4,2)
Write the following as an expression, "15 added to the product of 7 and c"
Answer:
15 + 7c or 15 + 7 * c
Hope this helps!
The cadets had to complete a 12 mile hike in 3 hours. How many miles an hour did they have to walk?
Alan bought 16 cupcakes for
his class. Each cupcake costs
$1.49. How much did he
spend on cupcakes?
Help
Can you plz help me!dddddddd
Answer:
We are finding hypotenuse:
6^2 + 8^2
36 + 64 = 100
Now we need to find a number that should be squared to equal 100.
10^2 = 100!
10 is your answer.
Isabel's team played 8 games of basketball. During those 8 games her team's score was: 59, 65, 61, 64, 68, 57, 49 and 57. What is the median(middle)?
Answer:
60 :)
Step-by-step explanation:
The middle two numbers are 59 and 61 so you add them together and divide by 2.
{6.EE.B.7} Solve for x. 342 + x = 782*
Answer:
Hello There!!
Step-by-step explanation:
342 + x = 782 -342
x=440
hope this helps,have a great day!!
~Pinky~
How do you do this ??????????????????????
Answer:
b
Step-by-step explanation:
you can take the rectagel and you x the rectagel
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Answer:
B. y > 14
y which is students age is greater than 14
There are 4 second-grade classrooms that share 15 packs of paper. How much paper should each classroom get
Answer:
3.75
Step-by-step explanation:
Find the length of the midsegment of the trapezoid.
Answer: 28 i think or 12
Step-by-step explanation:
Jack wants to find out which can of pineapples is the best buy. He has a choice of four
different-sized cans. Which can has the lowest unit price per ounce?
A. 8 ounces for $1.44
B. 18 ounces for $2.88
C. 10 ounces for $1.62
D. 6 ounces for $1.14
HURRY PLEASE
The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____
Choices for blank 1.
A. 2
B. 3
C. 4
D. 5
Choices for blank 2.
A. Left
B. Right
NO LINKS!!
from blank one five
from blank two is right
write the measure of each of the missing angle measures in the diagram above.
Answer:
<2= 65°
<3= 65°
<4= 115°
<5= 115°
<6= 65°
<7=65°
<8=115°
YA'LL PLEASE HELP I REALLYYY NEED HELP!!!!! (all links for answers will be deleted)
Identify the algebraic description that maps a point (3, 7) onto another point (–5, 7).
Question options:
A)
(x, y) → (x, y – 8)
B)
(x, y) → (x, y + 8)
C)
(x, y) → (x – 8, y)
D)
(x, y) → (x + 8, y)
Answer:
C)
(x, y) → (x – 8, y)
Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money
borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula a, = 10+ an-1-
At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann had repaid his
parents at the end of the first week?
o $10
$20
$25
$35
Answer:
$25
Step-by-step explanation:
An = 10 + An-1
At the end of 4th week ; amount repaid = $55
A4 = 10 +
An = a + (n - 1)d
n = 4
A4 = 10 + (4 - 1)d
55 = 10 + 3d
55 - 10 = 3d
45 = 3d
d = 15
Hence, at the end of first week :
A1 = a + d
$10 + $15
= $25
Hey can someone help me ? I’ll give brainliest !!
Answer:
132 kilometers
Step-by-step explanation:
Solve each log equation for real solutionslogx 81 =2
Answer:
x=9
Step-by-step explanation:
You would change it to x^2 = 81 which is 9.
Please help me, sorry if it’s blurry.
Answer:
V= 226.19
:)
Step-by-step explanation:
Answer:
226.19 cm
Step-by-step explanation:
PLEASE HELP 50 POINTS WILL GIVE BRAINLY
Answer:
-4. Answer is negative 4
Step-by-step explanation:
did on edge 2021