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3 years ago

PLEASE HELP PLEASE HELP PLEASE HELP

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

Answer:

Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5

Step-by-step explanation:

Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)

We need to substitute the given values into the point-slope form equation.

Parallel:

y + 4 = -5(x + 6)

y + 4 = -5x - 30

y = -5x - 34

Perpendicular:

y + 4 = 1/5(x + 6)

y + 4 = 1/5x + 6/5

y = 1/5x - 14/5

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the sum of the squares of two consecutive negative even integers is 52. Find the integers. show all work!!!

Alex

The two numbers are -4 and -6.

- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares

- 16+36 equals 52

please vote my answer branliest. Thanks!

3 0

3 years ago

There are 1,000 residents of a town in Year 1. That number increases by 1% each year.

S_A_V [24]

Answer:

Part A) $y=1,000(1.01^{x})$

Part B) $1,105\ persons$

Step-by-step explanation:

Part A) What is the explicit rule for the number of residents

we know that

In this problem we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

r is the rate

(1+r)=b

Let

y ----> the number of residents

x is the time in years

we have

a=1,000 residents

r=1%=0.01

b=(1+0.01)=1.01

substitute

$y=1,000(1.01^{x})$

Part B) How many residents will there be in the town in Year 10?

For x=10 years

substitute in the equation

$y=1,000(1.01^{10})$

$y=1,105\ persons$

6 0

3 years ago

Read 2 more answers

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

The perimeter of an isosceles triangle is 15.6 m. Find the lengths of its sides, if: Chapter Reference a The base is 3 m smaller

SSSSS [86.1K]

We know that an isosceles triangle has 2 equal sides.

We can represent the equal sides with x, and the base with y:

2x + y = 15.6

Given states that y = x - 3, so:

2x + x - 3 = 15.6

3x = 18.6

x = 6.2

y = 3.2

The sides are 6.2 m, and the base is 3.2 m.

4 0

3 years ago

PLEASE HELP ME I WILL MARK IF RIGHT

wariber [46]

Step-by-step explanation:

the small and the large triangles are similar triangles.

they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.

so,

28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =

= (2x + 8) / (7x + 4)

(7x + 4)×28 = (2x + 8)×82

196x + 112 = 164x + 656

32x = 544

x = 17

6 0

3 years ago

PLEASE HELP PLEASE HELP PLEASE HELP​

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