What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?

Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.

miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

Two points are (8,1) (2,10)

Step: 1

By graphical method, refer the attachment,

First point (8,1)

The values of x=8 and y=1 noted in the graph

Second point (2,10)

The values of x=2 and y=10 noted in the graph

Now join the two points (8,1) and (2,10)

Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }$ .....................(1)

Where,

(8,1) are ( $x_{1},y_{1}$ )

(2,10) are ( $x_{2},y_{2}$ )

From the equation,

= $\sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }$

= $\sqrt{(-6 )^{2} +(9 )^{2} }$

= $\sqrt{36 +81 }$

= $\sqrt{117}$

= 10.81665

≅ 11 ( Answer convert to the nearest tenth)

Distance = 11 units

Result:

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0

2 years ago

F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.

BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

4 0

2 years ago

Solve for r. 12 = r - (34 - 2) Show your work!

djverab [1.8K]

The answer would be -20

3 0

2 years ago

Read 2 more answers

Find the value of each variable.

kap26 [50]

Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F = 180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

5 0

2 years ago

Help!!

ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
The length of the series is defined as the number of items (which could be infinite).
Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Know more about sequences here:

brainly.com/question/6561461

#SPJ4

7 0

1 year ago