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Marta_Voda [28]
2 years ago
14

What is the slope of line a? ​

Mathematics
1 answer:
emmainna [20.7K]2 years ago
5 0
<h3>Answer:  -1/4  (choice C)</h3>

========================================================

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

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If set A has 4 elements and B has 3 elements then set n(AXB) is a) 12 b) 14 c) 24 d) 7
Karo-lina-s [1.5K]

Answer:

The correct option is a.

Step-by-step explanation:

Given information:

Number of elements in set A = 4

Number of elements in set B = 3

We need to find n(A × B). It means we have to find the number of elements in set A × B.

If P and Q are two sets with elements m and n respectively, then the number of element in the set P × Q is m × n.

n(A\times B)=n(A)\times n(B)

n(A\times B)=4\times 3

n(A\times B)=12

The value of n(A × B) is 12. Therefore the correct option is a.

8 0
3 years ago
The diagonal of a square is 60 in, as shown
andre [41]

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800

Taking square root on both sides

\sqrt{x^2}=\sqrt{1800}\\x=42.4

Hence,

The length of side is 42.4 inches.

5 0
2 years ago
B) What is the measure of ∠E? Explain how you know. (1 point)
noname [10]

Answer:

I'm about 3 months haha, but I'll still help you out. Angle E is equal to 75 degrees.

Step-by-step explanation:

5 0
2 years ago
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Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get
AfilCa [17]
Divide 3 1/2 by 7= 1/2 a cup per person
6 0
3 years ago
Read 2 more answers
6. What is the value of x?
givi [52]

Answer:

D. 14

Step-by-step explanation:

a^2+b^2=square of c

a^2+x^2=50

6 0
2 years ago
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