Answer:
(5a + 3b)(5a - 3b)Step-by-step explanation:
Given,
[tex] {25a}^{2} - {9b}^{2} [/tex]
[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]
Since,
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Then,
= (5a + 3b)(5a - 3b) (Ans)
Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram
Solution :
Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.
So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.
Thus in the quadrilateral ABCD we see that :
1. AC and DB are the diagonals of quadrilateral ABCD.
2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)
3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )
4. Angle ABE is congruent to angle CDE. (Angle side angle)
5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)
Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.
Answer:
△ABE and△CDE by side-angle-side
help me, thank you!!!
Answer:
Step-by-step explanation:
i don't understand this language but i think you want to simplify it.
[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]
[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]
Is my answer correct?
I'm pretty sure you are :)
Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
- 8x(x^2 – 8x + 3)
Answer:
-8x^3 + 64x^2 - 24x
Step-by-step explanation:
To distribute, we must multiple -8x to each term:
-8x(x^2) - 8x(-8x) - 8x(3)
-8x^3 + 64x^2 - 24x
Step-by-step explanation:
[tex] - 8x( {x}^{2} - 8x + 3) \\ = ( - 8x \times {x}^{2}) - ( - 8x \times 8x) + ( - 8x \times 3) \\ = - 8 {x}^{3} + 64 {x}^{2} - 24x[/tex]
distribute -8x to each term in the perenthesis i.e. multiply each term by -8x
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?
Answer:
u can solve ur self but let me help you
Step-by-step explanation:
simply:subtract 525ml from 512.6 liters
Isobel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. Select the equation in point-slope form for the line that represents the height of the bucket relative to the top of the well.
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)
Set up an equation to find the length of the diagonal of the rectangle.
Answer:
Set length as lUse the Pythagorean Theorem to find the diagonal:
[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]
Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1
Answer:
y - 5 = -1/6 (x - 4)
Step-by-step explanation:
y = 6x - 1 y = -1/6x + b
y - 5 = -1/6 (x - 4)
The base of the rectangle is 7 inches, and the height is 6 inches. The area of one triangle is square inches.
Answer:
21
Step-by-step explanation:
area of triangle = 1/2 * base * height
assuming the triangle is made by cutting the rectangle into half,
1/2 * 7 * 6 = 21
Answer:
the answer is 21
Step-by-step explanation:
Pls help and fast! 17 points!
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
What is the value of x?
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?
find the missing length indicated
Answer:
192
Step-by-step explanation:
Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.
The formula is:
h = √(mn)
h = x = ?
m = 144
n = 400 - 144 = 256
Substitute
h = √(256*144)
h = √36,864
h = 192
Therefore, x = 192
Qual o valor da expressão? 155÷2+4−55+1,5−6×5+6?
Answer:
Step-by-step explanation:
Hello!
(155/2)+4−55+1,5−(6×5)+6=
77,5 +4-55 +1,5 -30 +6= 4
Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would be the equivalent quarterly interest rate. Is Kraig correct? If he is, explain why. If he is not correct, state what the equivalent quarterly interest rate. Explain.
Answer:
If the amount is P, with the interest rate of 12%, the interest over the year is:
P*(1.12) - P = 0.12PIn this case the quarterly interest rate is:
0.12P/4 = 0.03PWith the same amount and 3% quarterly rate, the yearly interest would be:
P*(1.03)^4 - P = 0.1255PThe quarterly interest rate in this case is:
0.1255P/4 = 0.031375PIf the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.
Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
24.3
Step-by-step explanation:
tan(theta) = P/B
tan(38) = 19/x
x=19/tan(38)=24.3
If you rolled a die, what is the probability that you would roll a 3 or a 9? Give your answer as a simplified fraction.
P(3 or 9) =
Answer: P (3 or 9) = 1/6
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of 9 = 0
P (3 or 9) = Favorable / Total (refer to the attachment below)
P (3 or 9) = (1 + 0) / (6)
P (3 or 9) = 1 / 6
Hope this helps!! :)
Please let me know if you have any questions
help pls my mom will yell at me lol :) thanks
Answer:
The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0
Answered by GAUTHMATH
SOME ONE PLEASE ACTUALLY HELP ME
Answer:
y = 658.3 ft
Step-by-step explanation:
x = 745.5 ft
y = 658.3 ft
tan 28 = 350/y
y = 658.3
Answered by GAUTHMATH
Solve inequality problem (urgent help please)
Answer:
B
Step-by-step explanation:
|3m-2|=>1
1 <= 3m-2 or 3m-2 <= -1
3 <= 3m or 3m <= 1
1 <= m or m <= (1/3)
I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?
It would have to be 85
Answer:
85
Step-by-step explanation:
(89+92+94+ x)/4>90
(275+x)/4>90
275+x>90
x> 85
Six years ago,the average age of A,B,C and D was 30 years. When E joined them, the average of all five becomes 40 years. What is the age of E?
Answer:
The age of E is 40
Step-by-step explanation:
When E didn't join them, the average age was 30,that is six years ago. But present making 36.
But when E joined, the average age is now 40.
Answer:
E is 56 years old
Step-by-step explanation:
I assume E joined them now.
(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30
(A + B + C + D + E)/5 = 40
(A + B + C + D - 24)/4 = 30
A + B + C + D - 24 = 120
A + B + C + D = 144
(A + B + C + D + E)/5 = 40
A + B + C + D + E = 200
144 + E = 200
E = 56
I need help there should be a picture that pops up on the screen if not then it might be a link if it is a like press on it THANK YOU SO MUCH!!!
Answer:
ans is b hope I helped you
come help me!! rack up those points!! needing lots of help with geometry today :)
Answer:
312 in^2
Step-by-step explanation:
Yet again, not the best way but let's add up all the sides...
2(24+96+36) = 2(156) = 312 in^2
Hope this helped!
Find the value of 4 tenths x hundreds.
4000
400
40
4
the value of 4 tenths x hundreds.
4000
Answer:
40
Step-by-step explanation:
4/10 x 100 = 40
BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST... What is the volume of the sphere in terms of *pi ? in
Formula for the volume of a sphere: V = 4/3 x pi x r^3
V = 4/3 x pi x 6^3
V = 4/3 x pi x 216
V = 288 pi in^3
Hope this helps!
Answer:
288 pi in ^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where r is the radius
V = 4/3 pi *( 6)^3
V = 4/3 pi (216)
V = 288 pi in ^3
How does the graph of g(x) = 1/x-5 +2 compare to the graph of the parent function f(x)= 1/x?
Answer: Its 5 units to the right and 2 units up.
what is the exponents
Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.
Answer:
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
