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3 years ago

Translate triangle ABC using the vector ( 6, - 2).

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:

Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.

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A gift box measures 8 inches by 10 inches by 3 inches. what is the surface area of the box?

Ganezh [65]

Answer:

If I am correct then the answer should be 268 in2

Step-by-step explanation:

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3 years ago

Find the slope of the line (7, 5) and (3, -4) on it.

Karolina [17]

Answer:

9/4

Step-by-step explanation:

4 0

3 years ago

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What is the gcf of 18 and 42!!?

nadya68 [22]

The gcf of 18 and 42 is the largest positive integer that divides the numbers 18 and 42 without a remainder. Spelled out, it is the greatest common factor of 18 and 42. Here you can find the gcf of 18 and 42, along with a total of three methods for computing it.

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3 years ago

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A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

The area of rectangle is given as:

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the trees are 2.2 centimeters apart. How far apart

Mashutka [201]

Answer:

22 ft

Step-by-step explanation:

10*2.2 +22. simple as that

4 0

4 years ago