Answer:
<h2>
<em>C. 28</em></h2>
Step-by-step explanation:
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles
Answer:
7/25
Step-by-step explanation:
First we need to determine how many total marbles
9blue+7red+4green+5purple = 25 marbles
P(red) = red/total
= 7/25
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
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11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
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12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
Answer:
1.2x - 10.8 - 2.3x - 9.2 = -1.1x - 20; Rewrite as follows. (x 2y)(xy 2) = (x 2 x)(y y 2) ... x + 2.3; - x / 5 = 2; (x - 4) / (- 6) = 3; (-3x + 1) / (x - 2) = -3; x / 5 + (x - 1) / 3 = 1/5 ... 2 x 2 - 8 = 0; x 2 = -5; 2x 2 + 5x - 7 = 0; (x - 2)(x + 3) = 0; (x + 7)(x - 1) = 9; x(x - 6) = -9 ... For what value of the constant k does the quadratic equation x 2 +2x = - 2k .
Step-by-step explanation:
