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2 years ago

Which equation has the same solution as x2 + 16x – 11 = 4?

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4 Subtract 4 from both sides:

x^2 + 16x - 15 = 0 is one equation with the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.

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Angle X and Angle Y are complementary angles. Given Angle Y is equal to 1/5th Angle X. Find the value of Angle X in degrees

Elis [28]

Answer:

75 degrees

Step-by-step explanation:

Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.

Y=1/5X

X=5Y

Now, set another equation:

X+Y=90

Substitute the first equation into the second one.

5Y+Y=90

6Y=90

Y=15

Substitute this once again:

X+15=90

X=75

6 0

3 years ago

Find the equation of a line that goes through the points (-3,5) and (5,-11)

Rasek [7]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1$

3 0

2 years ago

Geometry Homework Question

mash [69]

Answer:

Distance is 8.485

Midpoint is (3,4)

Step-by-step explanation:

Use the points (-1,7) and (5,1)

Insert them into the equation and solve for D

$D=\sqrt{x} ((5-(-1))^2 + (1-7)^2)\\D=\sqrt{x} ((6)^2 + (-6)^2)\\D=\sqrt{x} (36+36)\\D=\sqrt{x} (72)\\D=8.485$

Insert points into second equation to find midpoint

$(\frac{_1+5}{2} , \frac{7+1}{2}) \\(\frac{6}{2} ,\frac{8}{2} )\\(3,4)$

7 0

3 years ago

Convert y+7=4(x-3) standard form

True [87]

Answer:

-4x+y = -5

Step-by-step explanation:

Y+7=4(x-3)

Y+7=4x-12

+7. +7

Y=4x-5

-4x+y=-5

7 0

3 years ago

Points F (0,0), G (9,0) and H (9,12) of vertical triangle

ludmilkaskok [199]

Answer:

15 is the distance

Step-by-step explanation:

3 0

3 years ago