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4 years ago

Solve the equation using square roots. (2x - 1)² =81

Mathematics

1 answer:

Maslowich4 years ago

7 0

X=9

insert 9 for x in the equation to know that it's right.

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(−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}

Yakvenalex [24]

The answer is -7.6.

Start with the innermost grouping:

(-5.2)+(-3.8)-{(-1.2)-[(-0.5)-(-0.7)]}

Subtracting a negative is the same as adding a positive:
(-5.2)+(-3.8)-{(-1.2)-[(-0.5+0.7)]}
(-5.2)+(-3.8)-{(-1.2)-[0.2]}

Now start with the next inner grouping:
(-5.2)+(-3.8)-{-1.4}

Again, subtracting a negative is the same as adding a positive:
(-5.2)+(-3.8)+1.4

Add the first two together:
-9.0+1.4

Adding the last two, we get -7.6.

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (6, 6) and (10, 5).

Nostrana [21]

the answer is: y2-y1/x2-x1
5-6/10-6
=-1/4

8 0

3 years ago

Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

olga_2 [115]

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

$l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\$

Formula:

$d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}$

For d1:

$x_1=7, y_1=-1, x_2=-2, y_2=4\\\\$

$d=\sqrt{((-2-7)^2+(4+1)^2)}$

$=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29$

For d2:

$x_1=7, y_1=-1, x_2=6, y_2=5\\\\$

$d=\sqrt{((6-7)^2+(5+1)^2)}$

$=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08$

The first distance value is greater than the second distance value.

3 0

3 years ago

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the

Kitty [74]

The equation is to be given, judging by the tone problem given but apparently it's not given. The equation can be derived from the problem. The area of a trapezoid is given by the equation $A = \frac{(a+b)}{2} h$ . Also, given that a, is the longer side, then a = h+7 and b (shorter side) = h+3 and h is the height. the equation is then $A = \frac{(h+3)(h+7)}{2}h = 225$ . Solving this quadratic equation, h is 4.84.

6 0

3 years ago

Read 2 more answers

rhombus CDEF is shown below. If the slope of FC is 25, what must be the slope of CD in order for CDEF to be a square?

Andrew [12]

Answer:

$-\dfrac{1}{25}$

Step-by-step explanation:

Given the rhombus CDEF, sides FC and CD are adjacent sides.

Using coordinate geometry, to proof that a quadrilateral is a square, with regards to the slope, the slope of adjacent segments must be negative reciprocals.

In fact, by definition: Two lines with slopes $m_1$ and m_2$ are perpendicular if:

$m_1=-\dfrac{1}{m_2}$

Therefore if :

FC and CD are adjacent segments
Slope of FC=25

For the rhombus to be a square:

Slope of CD $=-\dfrac{1}{25}$

8 0

3 years ago