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Nataly [62]
2 years ago
8

What two numbers have an absolute value of 6?

Mathematics
2 answers:
jolli1 [7]2 years ago
4 0

-6 and 6 is the answer to this

erastovalidia [21]2 years ago
4 0

Absolute value means "distance from zero" on a number line.

One number that has an absolute value of 6 is 6.  This is because 6 is 6 units away from 0 on a number line.

On the other hand, -6 would also have an absolute value of 6. This is because -6 is 6 units away from 0.

Think of the absolute value of any number is the positive version of that number.

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Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
olasank [31]

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
How many different possible meal outcomes are there if you're having one item each from the main course, sides, and drink menu?
lyudmila [28]
Answer: 64
Explanation: 4^3
6 0
2 years ago
If the seed company recommends planting approximately 350 grass seeds per square meter, about how many grass seeds will he need?
Svetach [21]

Answer:

83422.5 grass seeds

Step-by-step explanation:

Applying,

A = 1/2bh....................... Equation 1

Where A = Area of the Triangle, b = base, h = height.

But, from the diagram,

tanФ = 20/b

b = 20/tanФ.................. Equation 2

Substitute equation 2 into equation 1

A = 1/2(20/tanФ)(h)................ Equation 3

Given: h = 20 m, Ф = 40°

Substitute these values into equation 3

A = 1/2(20×20)/tan40°

A = 200/tan40°

A = 238.35 m²

If the seed company recommends planting approximately 350 grass seeds per square meter,

Therefore,

Number of grass seed need = (350×238.35)

Number of grass seed needed = 83422.5 grass seeds

3 0
3 years ago
The first car of the D-line train carried 1.5 times the number of passengers that the second car carried. Three passengers get o
kondor19780726 [428]

Answer:

the first car has 15 passengers and the second has 10

Step-by-step explanation:

7 0
3 years ago
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has a
zepelin [54]

Answer:

9 weeks

Step-by-step explanation:

Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.

12 = w + 3     Subtract 3 both sides

9 = w

7 0
3 years ago
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