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2 years ago

Find the equation of the linear relationship

Mathematics

2 answers:

kiruha [24]2 years ago

7 0

answer is 10---- i think

nadezda [96]2 years ago

5 0

Answer:

y = -2x + 170

Step-by-step explanation:

(30, 110) (40, 90) y = mx + b

x1 y1 x2 y2 90 = -2 (40) + b

90 - 110 = -20 = -2 90 = -80 + b

40 - 30 10 +80 +80

170 = b

really hope this helps :)

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A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches

Bond [772]

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

$Volume =\frac{1}{3} \times Bh$

Substituting $Volume=63$ and $Height=9$ in the above formula, we get,

$63 =\frac{1}{3} \times B(9)$

Simplifying the terms, we get,

$63 =3B$

Dividing both sides by 3, we have,

$21=B$

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

3 0

2 years ago

Need HELP PLS PIC ATTACHED

Vera_Pavlovna [14]

Answer:

$4x^{2}$ -13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like $4x^{2}$ )

$4x^{2}$ +4x⋅-2-5x-5⋅-2

$4x^{2}$ +4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

$4x^{2}$ -8x-5x-5⋅-2

$4x^{2}$ -8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

$4x^{2}$ -8x-5x+10

Step 3: collect like terms

$4x^{2}$ -8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

$4x^{2}$ -13x+10 is the most simplified so it should be your final answer

4 0

7 months ago

The probability of a spinner stopping on 3 is 1/8 The probability of the spinner stopping on 6 is 1/8 What is the probability of

Mumz [18]

Your answer is B 1/8 .

4 0

2 years ago

Solve for x x^2 - 2x - 35 = 0x

olga_2 [115]

Answer:

x = 7

x = -5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

4 0

2 years ago

Evaluate the expression if m = 3. 3m^2 (SHOW YOUR WORK)

iragen [17]

The value of given expression when m = 3 is 27

<h3>Solution:</h3>

Given expression is $3m^2$

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

$\rightarrow 3m^2$

Plug in m = 3 in above expression

$\rightarrow 3(3)^2$ ------ eqn 1

We know that,

$a^2$ can be expanded as,

$a^2=a \times a$

Applying this in eqn 1, we get

$\rightarrow 3(3)^2=3 \times (3 \times 3)$

Simplify the above expression

$\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27$

Therefore, for m = 3 we get,

$\rightarrow 3(3)^2=27$

Thus value of given expression when m = 3 is found

5 0

3 years ago