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Vesnalui [34]
3 years ago
8

The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:

Mathematics
2 answers:
svp [43]3 years ago
4 0

Answer:

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156/2

n = 78

lina2011 [118]3 years ago
3 0

Answer:

the answer is B.78

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156/2

n = 78

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Firdavs [7]

Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

7 0
3 years ago
In the figure, one side of the rectangle divides the circle in half.
Setler79 [48]
A(rectangle)=5*12=60
A(circle)=(pi)(r^2)
r=(1/2)(5)=2.5
A(circle)=(3.14)(2.5)^2
A(circle)=19.625
Shaded Circle=1/2
(1/2)(19.625)=9.8125
A of unshaded=60-9.8125
A=50.1875 ft
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3 years ago
Im need help on this question
dimulka [17.4K]
You were right, its the second choice CA=CB+BA
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3 years ago
Write this number in expanded form 718927
nignag [31]
Seven hundred eighteen thousand nine hundred twenty seven
700000+10000+8000+900+20+7
4 0
3 years ago
Instructions: Find the measure of the indicated angle to the<br> nearest degree
Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

? = 57.42102961

To the nearest degree

? = 57

5 0
3 years ago
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