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3 years ago

Find the gradients of line a and b

Mathematics

1 answer:

34kurt3 years ago

7 0

Answer:

3 and - 4

Step-by-step explanation:

Calculate the gradients using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

Line A

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = $\frac{1+2}{1-0}$ = 3

Line B

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = $\frac{5-1}{0-1}$ = $\frac{4}{-1}$ = - 4

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A wire was bent into the shape of a rectangle with width 5 and length 7 . If this wire

12345 [234]

Answer:

B | 6

Step-by-step explanation:

First, find the length of the wire by finding the perimeter of the rectangle

2(5) 2(7) = 24

If a square has 4 sides, put 24 as the numerator and 4 as the denominator.

24/4

Now, divide it and you'll get 6, the answer.

5 0

2 years ago

Can someone help please and explain how you got your answer and please don't play around I really don't wanna fail. Ill give bra

Maksim231197 [3]

Answer:

Step-by-step explanation:

Hello There!

The mean is pretty much the average

So to find the mean we first add up all of the values

2+3+6+6+7+8+8=40

Then we count the amount of points

There are 8 points

our final step is to divide the total value by the total number of points

40/8=5

so the mean (average) would be 5

6 0

2 years ago

Read 2 more answers

-6(x+7)=-4x-2 How many solutions does it have

geniusboy [140]

Answer:

Equation have Unique solution i.e $x=-20$

Step-by-step explanation:

Given Equation:

$-6(x+7)=-4x-2$

Solving the Equation for 'x'.

$-6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2$

Adding ' $4x$ ' both sides:

$-6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2$

Adding '42' both sides:

$-2x-42+42=-2+42\\\\-2x=40$

$x=\frac{40}{-2} \\\\x=-20$

The equation have Unique solution with the value of $x=-20$

6 0

3 years ago

Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal

STatiana [176]

Note: You missed to add some of the details of the question.

Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30° is the length '6'.

The adjacent of ∠C = 30° is the length 'y'.

As Ф= ∠C = 30°

tan Ф = opp ÷ adjacent

tan 30 = 5 ÷ y

1 ÷ √3 = 5 ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

7 0

2 years ago

What is the length of the equilateral triangle below?

kykrilka [37]

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, a² + b² = c², where c is the "HYPOTENUSE". In this case, c is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find a, we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with 5√3. You understand?

I am joyous to assist you anytime.

4 0

2 years ago