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3 years ago

What is the rectangle's height and base?

Mathematics

2 answers:

HACTEHA [7]3 years ago

6 0

Answer:

Base = 16cm

Height = 7cm

riadik2000 [5.3K]3 years ago

3 0

Answer:

base = 16 cm

height = 7 cm

Step-by-step explanation:

area of a rectangle = base (b) x height (h)

base (b) = 9 + h

area = 112 cm²

plug in values:

112 = (9 + h) * h

112 = 9h + h²

h² + 9h - 112 = 0

<u>h can be solved using quadratic equation</u>

-9 ± √ (9² - 4 (1) (-112))

h = --------------------------------------

-9 ± √529

h = ----------------

h = 7 ; h = -16

therefore the height of a rectangle (h) = 7 cm

<u>solve for base (b)</u>

base (b) = 9 + h

base (b) = 9 + 7

base (b) = 16 cm

proof:

area of a rectangle = base (b) x height (h)

112 = 16 * 7

112 = 112 ---- ok

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2 years ago

Read 2 more answers

Need help, please explain the answer

Mkey [24]

Answer:

Step-by-step explanation:

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3 years ago

Y=x+1 and y=-x-3 in graphing,Substitution,and elemination

marysya [2.9K]

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$SUBSTITUTION\\\\\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right\\\\\text{substitute}\ y=-x-3\ \text{to the first equation}\\\\-x-3=x+1\ \ \ \ |+3\\-x=x+4\ \ \ \ |-x\\-2x=4\ \ \ \ |:(-2)\\x=-2\\\\\text{substitute the value of x to the second equation}\\\\y=-(-2)-3=2-3=-1\\\\Solution:\ (-2,\ -1)$

$ELIMINATION\\\\\underline{+\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right}\ \ \ |\text{add both sides of the equations}\\.\ \ \ \ 2y=-2\ \ \ \ |:2\\.\ \ \ \ \ \ y=-1\\\\\text{put the value of y to the first equation}\\\\-1=x+1\ \ \ \ |-1\\x=-2\\\\Solution:\ (-2,\ -1)$

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3 years ago

A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?

QveST [7]

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

3 0

3 years ago

The measure of one interior angle of a regular 90-sided polygon.

schepotkina [342]

9514 1404 393

Answer:

176°

Step-by-step explanation:

The total of exterior angles is 360°, so one of those for the regular polygon will be 360°/90 = 4°. The adjacent interior angle is the supplement of this.

The interior angles measure 180° -4° = 176°.

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3 years ago