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2 years ago

Which is the equation of a line with a slope of – į and a y-intercept at (0, 1)?

Mathematics

1 answer:

blsea [12.9K]2 years ago

3 0

Answer:

y = -1/3x + 1

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

slope of - 1/3 and a y-intercept at (0, 1)

y = -1/3x + 1

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What is the area of this figure? 49.5 in² 66.5 in² 84 in² 91 in²

zubka84 [21]

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square = $side^{2}$

Side of the square is 7 in.

Area = $7^{2} =49in^{2}$

2) Area of triangle = $\frac{1}{2} .base . height$

Area of triangle = $\frac{1}{2} (12)(7) =42in^{2}$

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area = $91in^{2}$

3 0

3 years ago

Read 2 more answers

6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

Length = 10 inches

Width = 5 inches

Height = 6 inches

As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

For bottom part

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

Therefore, the volume of the steps are 840 cubic inches.

8 0

3 years ago

Which of these is divisible by 3 and 4?

Leokris [45]

One number that is divisible by both 3 and 4 is 12. Any multiple of 12 is also divisible by both 3 and 4, such as 24, 36, 48, etc.

7 0

3 years ago

F(x)=|x|;g(x)=|2x+4|

nikdorinn [45]

horizontal shrink by a factor of 1/2

4 units to the left

8 0

3 years ago

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mademuasel [1]

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

The value of q can be determined by solving the equation $a=qb+r$ for q.

Thus, subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.

7 0

3 years ago