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worty [1.4K]
3 years ago
11

Solve this equation using an algebraic method: (x + 4)( x - 4) = 9

Mathematics
2 answers:
Mila [183]3 years ago
8 0
(x+4)(x-4)=9  carry out multiplications on left side

x^2-16=9  add 16 to both sides

x^2=25  take the square root of both sides

x=√25

x=±5

So there are two solutions x=-5 and 5
Svetradugi [14.3K]3 years ago
3 0
This is the answer that i was going to upload :
the answer is +5(or)-5 because  of root

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What is the volume of the rectangular prism?3 1/2 mm 9 mm 8 1/2 mm
FinnZ [79.3K]

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm

Express the mixed fraction into decimal :

\begin{gathered} 3\frac{1}{2}=\frac{3\times2+1}{2} \\ 3\frac{1}{2}=\frac{7}{2} \\ 3\frac{1}{2}=3.5 \end{gathered}\begin{gathered} 8\frac{1}{2}=\frac{8\times2+1}{2} \\ 8\frac{1}{2}=\frac{17}{2} \\ 8\frac{1}{2}=8.5 \end{gathered}

So, the dimensions are : 3.5mm , 9mm & 8.5mm

Volume of the prism = Length x Breadth x Height

Susbtitute the value and simplify :

Volume of the prism = ( 3.5 x 9 x 8.5 ) mm

Volume of the prism = 267.75 mm

3 0
1 year ago
Write the ratio as a fraction in simplest form, with the whole numbers In the numerator and denominator. 1.4L : 4.9 L
lidiya [134]
1.4L : 4.9L
= \frac{1.4}{0.7} L:\frac{4.9}{0.7}L
=2L : 7L
8 0
3 years ago
A parallelogram has a length of 6 centimeters and a width of 4.5 centimeters. This parallelogram is dilated by a scale factor of
Arada [10]
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
 
3 0
3 years ago
30 POINTS!!! What is the area of this figure? Enter your answer in the box
Elza [17]
Area of parallelogram: lw = 9(5)=45m
Area of triangle: 1/2bh = 1/2(9)(8) = 36m

So total area = 45+36=81m
3 0
3 years ago
Could someone explain this to me
Bond [772]

Answer:

Step-by-step explanation:

The question is asking you to graph the equations.

The equations are in slope intercept form so y=mx+b

M is the slope and b is the y-intercept

First draw the y & x axis and label/number them

The y-intercept for the first equation is -1 so draw a dot on the -1 on the y-axis

The slope is 2/5 and you use rise/run to continue the slope.

you rise 2 on the y-axis and go right 5 times on the x-axis (for a negative number you go left/down)

For the second equation, you have to turn it into slope intercept form.

You should get y=2/3x+3

You graph this equation the same as you did the first one.

8 0
3 years ago
Read 2 more answers
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