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mestny [16]
1 year ago
14

_ x 2 + 1 = 25 Pls help I need the answer

Mathematics
1 answer:
WITCHER [35]1 year ago
5 0

Answer:

x = ± 2\sqrt{6}

Step-by-step explanation:

x² + 1 = 25 ( subtract 1 from both sides )

x² = 24 ( take square root of both sides )

x = ± \sqrt{24} = ± \sqrt{4(6)} = \sqrt{4} × \sqrt{6} = ± 2\sqrt{6}

x = - 2\sqrt{6} , x = 2\sqrt{6}

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Please help me on my math
s344n2d4d5 [400]

Answer:

m = -8

b = -24

Step-by-step explanation:

To solve this problem use the hint and put this equation in y = mx + b form. This is called slope-intercept form.

In slope-intercept form, the coefficient of x (which is m) is the slope of the line and b is the y-intercept of the line.

  • -32x - 4y = 96

Add 32x to both sides of the equation.

  • -4y = 32x + 96

Divide both sides of the equation by -4.

  • y = -8x - 24

Comparing this to y = mx + b, the -8 is "m" and -24 is "b". Therefore your final answers are:

m = -8

b = -24

5 0
3 years ago
Read 2 more answers
Answer the folling question if a= -22, b= 15 and c= 12.
Maru [420]

Answer:

the absolute value should be 47. hope that helps

Step-by-step explanation:


4 0
3 years ago
It costs $107 for 10 students and $137 for 15 students. How much does it cost for 12 students?
Anestetic [448]
\bf \begin{array}{ccccccccc}
&&\stackrel{students}{x_1}&&\stackrel{price}{y_1}&&\stackrel{students}{x_2}&&\stackrel{price}{y_2}\\
%  (a,b)
&&(~{{ 10}} &,&{{ 107}}~) 
%  (c,d)
&&(~{{ 15}} &,&{{ 137}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{137-107}{15-10}\implies \cfrac{30}{5}\implies \cfrac{6}{1}\implies 6

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-107=6(x-10)
\\\\\\
y-107=6x-60
\implies 
y=6x+47\\\\
-------------------------------\\\\
\textit{how much will it be for }\stackrel{x}{12~students?}\qquad y=6(12)+47
7 0
2 years ago
Graph the line with slope -2 passing through the point (4, 1)
Scrat [10]

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

4 0
2 years ago
Solve x^2-8x+5=0 using the completing-the-square method
eduard

Answer:

x = 4 ± \sqrt{11}

Step-by-step explanation:

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 4)x + 16 + 5 = 16

(x - 4)² + 5 = 16 ( subtract 5 from both sides )

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± \sqrt{11} ( add 4 to both sides )

x = 4 ± \sqrt{11} ← exact values

4 0
3 years ago
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