= 1 square unit
A 34 square units
B 36 square units
C 39 square units
D 35 square units
25 answers
To determine the area of the shaded shape, it is essential to have a visual representation or more information about the specific geometry of the shape. Since the current information does not specify the shape or provide a diagram, I am unable to calculate or deduce the area.
If you can describe the figure, provide the dimensions, or share a diagram, I will be happy to assist you in calculating the area.
The expression you provided appears to be formatted as a mathematical equation that is missing an operation. Let's assume you are asking what number should replace the "=" to make the equation valid for the expression "9 = ? - 6".
Rearranging the equation gives:
\[ ? = 9 + 6 \] \[ ? = 15 \]
Thus, the missing number is 15.
So the correct answer is C) 15.
To solve the quadratic equation \(x^2 + 13x + 42 = 0\) by factoring, we need to find two numbers that multiply to \(42\) (the constant term) and add to \(13\) (the coefficient of \(x\)).
The two numbers that satisfy these conditions are \(6\) and \(7\) since:
We can factor the equation as follows:
\[ (x + 6)(x + 7) = 0 \]
Setting each factor equal to zero gives us the possible solutions:
Therefore, the solutions are:
So, the correct answer is D) \(x = -6\) or \(x = -7\).
To solve the equation \(7x = 42\), we need to isolate \(x\).
We can do this by dividing both sides of the equation by \(7\):
\[ x = \frac{42}{7} \]
Calculating the right side:
\[ x = 6 \]
So the solution is \(x = 6\).
The correct answer is B) 6.
The expression you provided appears to be related to the square root operation. Given \(81 + | = 9\), we can interpret it as follows:
The square root of the number inside the box plus 81 equals 9:
\[ \sqrt{81 + x} = 9 \]
Squaring both sides, we eliminate the square root:
\[ 81 + x = 9^2 \] \[ 81 + x = 81 \]
Now, subtract \(81\) from both sides:
\[ x = 81 - 81 \] \[ x = 0 \]
However, it seems there's a misunderstanding in my interpretation. Let’s analyze a simpler mathematical relationship that involves the given options. If we take the equation as simply adding \(81\) with the figure in the box to get \(9\), that wouldn’t hold true as \(81\) is already greater than \(9\).
There seems to be a possibility of evaluating \(| = x\) as the absolute value function, but we don't require that here due to the context and lack of additional expressions.
Given the typical operation and available answers, none fit the straightforward interpretation. Thus, the correct interpretation that fits best contextually involves plugging in values for completeness:
Testing the other values quickly shows none hold for:
Thus it might require clarification of the initial problem setup because ( | or boxed representations require further context in actual mathematical situations.
The only option that can fit as originally detailed but in a different format could be \( \text{absolute value surroundings.}\)
If you can clarify further surrounding the box or operational expectations, please share, and I’d be happy to assist better!
To add the numbers \(245\) and \(635\):
\[ 245 + 635 = 880 \]
Thus, the correct answer is C) 880.
The expression you've provided seems to imply the equation structure in a way that we can interpret it as:
\[ 326 - x = 116 \]
where \(x\) is the number that goes in the box.
To solve for \(x\), we can rearrange the equation:
\[ x = 326 - 116 \]
Now, we will perform the subtraction:
\[ x = 210 \]
So, the number that goes in the box is A) 210.
To find the perimeter of a trapezoid, you need to add the lengths of all its sides. The perimeter \( P \) can be calculated using the formula:
\[ P = a + b + c + d \]
where \( a, b, c, \) and \( d \) are the lengths of the sides of the trapezoid.
From the information provided, it seems the trapezoid has side lengths of \( 10 , \text{cm}, 13 , \text{cm}, 20 , \text{cm}, \) and \( 13 , \text{cm} \) (assuming that the repeated side of \( 13 , \text{cm} \) belongs to the trapezoid).
Let's sum these side lengths:
\[ P = 10 + 13 + 20 + 13 \]
Calculating this gives:
\[ P = 10 + 13 = 23 \] \[ P = 23 + 20 = 43 \] \[ P = 43 + 13 = 56 \]
Therefore, the perimeter of the trapezoid is D) 56 cm.
The expression \(2.5x + 10\) can be broken down as follows:
The term \(2.5x\) represents the cost associated with the individual entry fees. In this context, \(x\) would likely represent the number of people (Julio and Ashley), and each person's entry fee is $2.50. Thus, if there are 2 people, the total for individual entry fees would be \(2.5 \times 2 = 5\).
The term \(+ 10\) represents the entry fee for the car.
Considering the components of the expression:
Therefore, the interpretation of the expression shows that the entry fee for the car was $10.00.
So the correct answer is:
The entry fee for the car was $10.00.
Let's analyze the given equation:
\[ 8x - 3y = 2x + 9y \]
To evaluate the statements in the context of the equation:
There are four variables.
8, −3, 2, and 9 are coefficients.
8, −3, 2, and 9 are constants.
8 is the only factor of 8x.
Given the above analysis, the correct statement is:
8, −3, 2, and 9 are coefficients.
In the equation
\[ 0.4 - 7x = 3, \]
we can identify the following components:
Now, let's analyze the equation:
Therefore, the constants in this equation are:
0.4 and 3.
So the correct answer is:
0.4 and 3.
To interpret the equation \(x^8 = 3(x + 4)^2\) and identify which expression represents a product, let's analyze the given options:
3(x + 4)^2
This expression represents a product because it consists of the coefficient \(3\) multiplied by the quantity \((x + 4)^2\). The squared term itself indicates \((x + 4) \cdot (x + 4)\), making it a product.
\(\frac{3(x + 4)}{2}\)
This expression represents a division (with a fraction) and thus is not solely a product.
3(x + 4)
This is also a product (specifically the coefficient \(3\) multiplied by the term \((x + 4)\)).
2
This is simply a number and does not represent a product.
\(x^8\)
While it represents a term with a variable raised to a power, it does not explicitly represent a product of multiple factors.
Given the options, the expression 3(x + 4)^2 most clearly represents a product because it involves the multiplication of \(3\) and the squared quantity \((x + 4)^2\).
So the correct answer is:
3(x + 4)².
To simplify the expression \[3(42 + 32÷4 - 5)\], we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right)—often abbreviated as PEMDAS.
First, evaluate the expression inside the parentheses: \[42 + 32÷4 - 5\]
Next, perform the division:
Thus, the quotient that must be found to simplify the expression is:
32 ÷ 4.
This matches the response option, so the correct answer is:
32 ÷ 4.
