PQRS is a rectangle.
PS = 5cm
PQ = 12cm
To Find:The length of qr ,sr and the two diagonals pr and qs.
Solution:Opposite sides of a rectangle are equal.
QR = PS = 5cm
SR = PQ = 12cm
By using Pythagoras Theorem, we get
PR = √PS^2 + SR^2
or, PR = √25 + 144
or, PR = √169
or, PR = 13cm
Diagonals of a rectangle are equal.
QS = PR = 13cm
Answer:QR = 5 cm
SR = 12 cm
PR = 13 cm
QS = 13 cm
6b^2+8b-10=0
please show how to do work
Greetings from Brasil....
Let's solve this 2nd degree equation.
6b² + 8b - 10 = 0 dividing all terms by 2
3b² + 4b - 5 = 0 applying the baskara formula
Δ = 4² - 4 · 3 · (- 5)
Δ = 76
b = (- 4 ± √76)/6 so
b' = (- 4 + √76)/6b'' = (- 4 - √76)/6Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80
Answer:
D
Step-by-step explanation:
The equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Alex has 84 quarters and nickels worth a total of $17.80.
As we know,
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
1 dollar = 100 cents
The amount that Alex = 84 quarters + $17.80
q = 84 quarters + $17.80
q is the number of quarters Alex has.
Remaining nickel value = 84 - q
In cents:
= 0.05(84 - q)
q in cents:
= 0.25q
0.05(84 - q) + 0.25q = 17.80
Thus, the equation can be used to find q is 0.05(84 - q) + 0.25q = 17.80 option (D) 0.05(84 - q) + 0.25q = 17.80 is correct.
Learn more about the linear equation here:
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mason owns A trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of one dollar per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 mph and masons total expenses for the driver, gas in truck maintenance were $258. write a system of equations that could be used to determine the number of hours to drive a word and the number of miles the truck drove. Define the variables that you used to write the system.
Answer:
Step-by-step explanation:
13h+1m=258
30m=h
A wave has a wavelength of 18 meters and a Frequency of .5 Hz.
What is its velocity?
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) + 51(-0.5) What is the next step in using the distributive property to solve this equation?
A. -102 + 25.5
B. 102 + (-25.5)
C. -102 + (-25.5)
D. -102 + (-25)
Answer:
A
Step-by-step explanation:
Answer:
Its actually -102 + (-25.5)
Step-by-step explanation:
I did the question
46.91-28.7
What is 46.91-28.7
Answer:
18.21
Step-by-step explanation:
Step 1:
46.91 - 28.7
Answer:
18.21
Hope This Helps :)
what is the answer to 19=-3a-5
Answer:
[tex] \fbox{ \huge{ \sf{ a = - 8}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: 19 = - 3a - 5}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{ - 3a - 5 = 19}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 5 to right hand side and change it's sign
[tex] \longmapsto{ \sf{ - 3a = 19 + 5}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Add the numbers : 19 and 5
[tex] \longmapsto{ \sf{ - 3a = 24}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] : Divide both sides by -3
[tex] \longmapsto{ \sf{ \frac{ - 3a}{ - 3} = \frac{24}{ - 3}}} [/tex]
[tex] \tt{Step \: 4}[/tex] : Calculate
[tex] \longmapsto{ \sf{a = - 8}}[/tex]
[tex] \sf ∴ \: the \: value \: of \: a \: is \: - 8.[/tex]
[tex] \sf{Hope \: I \: helped !} [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
A pitcher throws a 98 mph fastball. How fast is this in feet/second?
Answer:
143.733 f/s
Explanation:
for an approximate result, multiply the speed value by 1.467
PLS HELPPPPPPP
M=5
N= -3
Look at the problem attached
Answer: -3.5 or -3 1/2
Step-by-step explanation: Put in the numbers -3 and 5 for the variables and simplify, (-2)-3 -2(5) -1/6(-3), to get 6 - 10 + 1/2(or 0.5), then add and subtract, 6-10= -4 + 0.5 = -3.5 or -3 1/2.
Hope this helped!
Pls Mark Brainliest!
A bag of flour contains ten cups of flour. In a cookie recipe, one batch requires 1/4 cup of flour. How many batches of cookies can you make with a whole bag of flour? *
Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,
The number of cups of flour in a bag = 10 cups of flour
The number of cups required to make one batch of cookies = 1/4 cup of flour
The number of batches of cookies can be made with a bag of flour is,
Number of Batches = 10 cups of flour / 1/4 cup of flour per batch
= 40 batches
Thus, the number of batches of cookies to make from a bag of flour is 40.
Learn more about Division here:
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Find the 12th Term of the sequence -16, -12,-8,-4...
Answer:
32
Step-by-step explanation:
You can keep adding 4 from -16 for a total of 12 times to get 32
or you can multiply 12*4 to get 48 and subtract 16 from it
hope this is good enough
Evaluate f(x) = x2 + 3x − 4 when x = 4:
Answer:
f(x)=24
Step-by-step explanation:
Replace x in the function with the value 4.
f(4)= (4)^2 + 3(4) - 4
16 + 12 -4
28 - 4
F(x)= 24
K is the midpoint of J and L, then find x.
Given: JK = 5x - 3
KL = 3x + 1
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
K is the midpoint of J and L, so
JK = KL.
[tex]5x-3=3x+1[/tex]
Add 3 to both sides:
[tex]5x-3+3=3x+1+3[/tex]
[tex]5x=3x+4[/tex]
Subtract 3x from both sides:
[tex]5x-3x=3x+4-3x[/tex]
[tex]2x=4[/tex]
Divide 2 on both sides:
[tex]\frac{2x}{2}=\frac{4}{2}[/tex]
[tex]x=2[/tex]
can someone help me answer this
Answer:
8m + 5/m -10 m^2
Step-by-step explanation:
24m^4 / 3m^3 = 8m
15m^2 / 3m^3 = 5/m
- 30m^5 / 3m^3 = -10m^2
Putting these back together
8m + 5/m -10 m^2
two integers with different signs that have the sum of -25
Answer:
When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends. Both addends are positive, so the sum is positive. Both addends are negative, so the sum is negative
Step-by-step explanation:
Find the product. -8x^5y^2 * 6x^2y
Answer: -48x^7 y^3
Step-by-step explanation: Simplify the expression.
I hope this helps you out. :)
What is 4 raised to the second power
Answer:
16
Step-by-step explanation:
4 x 4 = 16
4 to the second power is 4^2.
4x4=16
hope it helps!
Rewrite in simplest terms: -9(5s – 6) + 9s
the answer is -36+54
I used a exponet calculator
5. Find the coordinates of G if F(-1,2) is the midpoint of GJ and J has coordinates (-5,9).
Answer:
work is attached and shown
What is the 15th term in the pattern below?
1, 4, 9, 16, 25, 36, ...
Answer:
(15×15)=225
Step-by-step explanation:
Following Terms:
(7×7)=49
(8×8)=64
(9×9)=81
(10×10)=100
(11×11)=121
(12×12)=144
(13×13)=169
(14×14)=196
(15×15)=225
Simple Pattern to follow.
PLEASE HELP ALGEBRA 2!!!
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
A little help would be great Thank you!
Answer:
37.5 miles per hour
Step-by-step explanation:
To find the miles per hour, you divide the miles by hours. If you divide 225/6, you get 37.5. You can double check this by dividing another set, like 450/12 and see that you still get 37.5. Hope this helps! :)
what is "Triple y to the 5 power"
Which of the following problems can be represented by the equation below? 5x - 15 = 15x
Answer:
6
Step-by-step explanation:
5x-15=15x
+15 +15
5x=30
5/5=1
30/5=6
1=6 or x=6
0.029 g in Scientific notation
What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?
27
29
30
33
The value of y is 27. (first option.)
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
27
Step-by-step explanation:
2(3y + 6 +3)
2(9 + 3y)
18 + 6y
18 + 6y = 196 -16
6y =196 -16 -18
6y = 162
162 divided by 6 = 27
y =27
PLEASE HELP QUICKLY!! I WILL MARK BRAINLIEST!!
Find the value of x:
which relationship below is not a function?
Answer:
C is not considered as not a function
Step-by-step explanation:
Due to 0 goes 2 ranges
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
1, 2, and 4
Step-by-step explanation:
13. За – 4а2 + 2а
What is the answer?