A triangle has side lengths of 7, 24, and 26. Is the triangle right, acute, or obtuse? A) Right
B) Acute
C) Obtuse
Answers
a = 7 ; b = 24 ; c = 26
a² + b² = c² ⇒ right triangle
a² + b² > c² ⇒ acute triangle
a² + b² < c² ⇒ obtuse triangle
7² + 24² = > < 26²
49 + 576 = > < 676
625 < 676 OBTUSE TRIANGLE
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Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice
1. What is the coefficient of x in the division (18x^3 + 12x^2 – 3x) / 6x^2?A) 3 B) 2 C) -0.5 D) -3
What is 12-3x=-6x Show the work please
Answers
(7x+4)/5 + (4x-2)/2=27
[(7x+4)*2 + (4x-2)*5]/ 10 = 27
(14x+8+20x-10)/10 = 27
(14x+8+20x-10) = 270
34x = 272
x = 8
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(8x+7)/6 + (9x-2)/2=6
[(8x+7) + (9x-2)*3] / 6 = 6
(8x + 7 + 27x - 6) / 6 = 6
(8x + 7 + 27x - 6) = 36
35x = 35
x = 1
----------------------------
2/(x-4) + 8/(2x-8)=13
[(2*2) + 8] / (2x-4) = 13
12 / (2x-4) = 13
13(2x-4) = 12
26x - 52 = 12
26x = 64
x = 64/26
x = 32 / 13
-----------------------------------
2/(x+5) - 4/(7x+35)
[(2*7) - 4] / (7x+35)
(14-4)/(7x+35)
10 / (7x+35)
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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
Answers
Answer: The value of A is -2.
Step-by-step explanation:
Since we have given that
We need to change it in the form of Ax+By.
So, it becomes,
Now, we will equate this with Ax+By:
By comparing the coefficient of x and y:
Hence, the value of A is -2.
-2
becasue we
-2x-4y
-2 = A
Answers
Answer:
Step-by-step explanation:
prime factors of 20 = 2 * 2 * 5
Final answer:
The denominator of the fraction 7/20 can be written as the product of prime factors: 2 x 2 x 5.
Explanation:
The denominator of the fraction 7/20 can be written as the product of prime factors by finding the prime factorization of 20.
- Start by dividing 20 by the smallest prime number, which is 2. 20/2 = 10.
- 2 is a prime factor, so we continue to divide 10 by 2. 10/2 = 5.
- 5 is a prime number, so we have found the prime factorization of 20: 2 x 2 x 5 = 20.
Therefore, the denominator of the fraction 7/20 can be written as 2 x 2 x 5.
Learn more about Prime Factorization here:
#SPJ3
Answers
Answer:
x ≥−42
Step-by-step explanation:
x/7 ≥−6
Multiply each side by 7
x/7 * ≥−6*7
x ≥−42
Answers
Answer:
Step-by-step explanation:
(x+5)/2 = 6
x + 5 = 12
x = 7
(y + 2)/2= 4
y + 2 = 8
y = 6
(7, 6)