The value of b in the equation is -2
<h3>What is an algebraic equation?</h3>
An algebraic equation is an expression that consists of numbers, variables with their arithmetic operations.
- When solving this kind of algebraic equation, we move the like terms to a side and solve for the variable(unknown).
From the given algebraic equation:
-4b - 5 = 3b + 9
By collecting the like terms, we have:
-4b -3b = 5 + 9
-7b = 14
Divide both sides by (-7)
x = -2
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Answer:
The equation would be x + 2y = -8
Step-by-step explanation:
To find the standard form of this line, start by using point-slope form with the given information. Then solve for the constant.
y - y1 = m(x - x1)
y + 3 = -1/2(x + 2)
y + 3 = -1/2x - 1
1/2x + y + 3 = -1
1/2x + y = -4
x + 2y = -8
Answer:
5 2/3
Step-by-step explanation:
So because it is a mixed number that means you want to have a whole plus a fraction. You keep the 5 as the whole and because 2/3=.666666. You add them together making 5 2/3.
Answer:
1.12 × 10^-3
Step-by-step explanation:
The computation of the width of the photograph is as follows:
As we know that
Area of the rectangle = length × width
33 ÷ 20 square inches = 1475 inches × width
So, the width is
= Length ÷ area
= 1475 inches ÷ (33 ÷ 20 square inches)
= 1.12 × 10^-3
Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
<h3>What is Tangent Ratio?</h3>
The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
- ∅ = 25°
- Adjacent length = 130 ft
- Opposite length = AC
Apply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
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