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Kruka [31]
3 years ago
9

\: x= 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

log_{10}(x )  = 4

the property of Logarithms,

log_a(x)= y \\ \implies x=a^y

so,

x =  {10}^{4}

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Some of the steps for completing the square to solve x2 + 5x = 2 are shown. x2 + 5x = 2 x2 + 5x + = 2 + Which are solutions of x
Rufina [12.5K]
The solutions would be +0.37 and -0.37.

When completing the square, we take 1/2 of the value of b (in this case 5).  5/2=2.5.  We then square this number:  2.5²=6.25.  We add this value to both sides of the equation:

x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25

Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87

Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37

We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
4 0
3 years ago
Read 2 more answers
How many students were questioned about the approximate number of text messages they send each day? Explain or
d1i1m1o1n [39]
Do you have anymore information that doesn’t help that much
3 0
3 years ago
Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)
Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0
3 years ago
Determine the measure of angle a. PLEASE HELP ASAP!
wlad13 [49]

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

(9x+6)+(74)+(16x)=180\\

Let’s solve for <em>x: </em>

Combine LIke Terms:

(9x+16x)+(74+6)=180

Add:

25x+80=180

Subtract 80 from both sides:

25x=100

Divide both sides by 25:

x=4

Therefore, the value of <em>x </em>is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\angle A=9x+6

Substitute 4 for <em>x</em> and evaluate:

\angle A=9(4)+6=36+6=42\textdegree

Hence, our answer is D.

6 0
3 years ago
Given two vectors a⃗ = 4.60 i^+ 7.20 j^ and b⃗ = 5.10 i^− 2.70 j^ , find the scalar product of the two vectors a⃗ and b⃗ .
grin007 [14]
A=<4.60,7.20>
b=<5.10,2.70>
The scalar product, or the inner product, or the dot-product, is by summing the products of the respective directions, 
a.b=4.6*5.1+7.2*2.7
=23.46+19.44
=42.9
6 0
3 years ago
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