Evaluate the expression.<br><br><br><br> 10+83÷16

I know this isn't math but what would be the topic sentence? "First of all, being alive and healthy is key to a persons happines

garik1379 [7]

The first sentence starting with, "First of all..." is the topic sentence. The second is not because it is adding detail to the sentence given.

Hope this helps!

8 0

3 years ago

Find the gradient of the line segment between the points (-6,2) and (4,10).

Brilliant_brown [7]

Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

5 0

3 years ago

Read 2 more answers

The lines represented by the equations 20y-24x=-20y and 5y-6x=-5 are

tankabanditka [31]

Answer:

The answer is perpendicular

Step-by-step explanation:

convert the two equations into slope-intercept form

y=7/5x - 1

y=6/5x -1

Then, put it in the graph and you'll get lines intersecting at the same point which is the y-intercept.

8 0

3 years ago

Read 2 more answers

What is the least common denominator of 4/7, 5/14, and 4/15.

lukranit [14]

Answer:

210

Step-by-step explanation:

Rewriting input as fractions if necessary:

4/7, 5/14, 4/15

For the denominators (7, 14, 15) the least common multiple (LCM) is 210.

LCM(7, 14, 15)

Therefore, the least common denominator (LCD) is 210.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

4/7 = 4/7 × 30/30 = 120/210

5/14 = 5/14 × 15/15 = 75/210

4/15 = 4/15 × 14/14 = 56/210

3 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

Evaluate the expression. 10+83÷16