Solve the following equation for m: -7+ m = -15

Find the distance between the points (8,1) and (2,10). 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

3 years ago

2x-3y=3 5x+2y=17 how do i solve this?

Alina [70]

2(2x-3y=3)..................4x-6y=6..........equation 1
3(5x+2y=17) ...........15x+6y=51........equation 2

adding equation 1 and equation 2;
19x=57
x=3

2x-3y=3
(2*3)-3y=3
6-3=3y
y=1

6 0

3 years ago

a jet climbs at a steady rate at an angle of inclination of 0.5 degrees during takeoff. What will its height be after a 2.2km in

Reil [10]

19.2m is the answer.

6 0

3 years ago

A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op

kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

4 0

3 years ago

How do i write 563.84 in expanded notation?

andriy [413]

Answer:

(5 × 10^3) + (3 × 10^2) + (2 × 10^1) + (5 × 10^0) = 5,325

Step-by-step explanation:

4 0

3 years ago

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