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3 years ago

What is tbe area of the rhombus?

Mathematics

1 answer:

vodka [1.7K]3 years ago

3 0

d₁ = 4 + 4 = 8

d₂ = 3 + 3 = 6

The area of the rhombus:

8 · 6/2 = 8 · 3 = 24 {u²]

First answer.

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Show me a graph of 6x + 5y < 30

Fittoniya [83]

Here is a graph of 6x + 5y < 30

7 0

3 years ago

Which equation is the inverse of y = x² - 36?

Damm [24]

Answer:
y = SQRT( x + 36 )
y = - SQRT( x + 36 )

Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.

4 0

1 year ago

Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 5, x + z = 0

oee [108]

The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

Learn more about parametric equations

brainly.com/question/12718642

#SPJ4

4 0

1 year ago

For the given line segment, write the equation of the perpendicular bisector.

Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the midpoint of the segment.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

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

Step 2. Find the slope (m₁) of the segment

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

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

Step 3. Find the slope (m₂) of the perpendicular bisector

m₂ = -1/m₁

m₂ = -4/5

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

Step 4. Find the intercept of the perpendicular bisector

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b Multiply each side by 10

-15 = 32 + 10 b Subtract 32 from each side

-47 = 10b Divide each side by 10

b = -47/10

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

Step 5. Write the equation for the perpendicular bisector

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0

3 years ago

A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an

qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

S = 225[{(2.73)}/0.0055][1.0055]

S = 225[496.36][1.0055]

S = $112295.2

7 0

3 years ago