Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
Answer:
8x^6-10x^5+4x^4-5x^3-4x+5
Step-by-step explanation:
Lest distribute the expression given
this is multiply the first term (4x) with the longer expression (2x^5+x^3-1) and then, multiply the second term (-5) with the longer expression (2x^5+x^3-1).
When the above is finish, simply sum all together.
4x* (2x^5+x^3-1)= 8x^6 +4x^4-4x
-5*(2x^5+x^3-1)=-10x^5-5x^3+5
The sum of all together (respecting the coefficient they belong) is shown:
8x^6-10x^5+4x^4-5x^3-4x+5
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Step-by-step explanation:fuidhfshjsahsj.
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
The first statement CA || DB , E is midpoint is GIVEN to you. That is the reason that statement can be made. It is GIVEN.
The second statement I would make is that ∠ACE = ∠DBE and ∠CAE = ∠EDB because Alternate interior Angles of parallel line CA || BD. You can also say ∠DEB = ∠CEA due to vertical angles being equal.
The third statement should be that AE = ED because E is the midpoint of AD.
The fourth statement is that the triangles are congruent, this is because ASA . Angle-Side-Angle are equal.