What fraction is larger 7/8 or 14/16

Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

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4 0

1 year ago

Find the midpoint of the line segment joining the points P1 and P2.

ludmilkaskok [199]

Formula for midpoint between two points is M(x,y)

x=(x1+x2)/2 and y=(y1+y2)/2

In our case (x1,y1)=(m,b) and (x2,y2)=(0,0)

x=(m+0)/2=m/2 and y=(b+0)/2=b/2 M(m/2,b/2)

Good luck!!!

7 0

3 years ago

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

3 years ago

EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS

Kryger [21]

Answer:

• From trigonometry ratios:

${ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\$

opposite → 28
hypotenuse → 35

${ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}$

3 0

3 years ago

Does anybody know this plz help.

MaRussiya [10]

So for this it's asking to multiply 10,000 glass beads by the length of 0.4 cm.

So to make it easier let's just make it a fraction.

This will make it 4/10 (because 0.4 is just 4 tenths of a whole number)

So now we can upscale the sizes to the proper ratio. This ratio being the thousands.

4000/10000

Meaning the answer is 4000cm in length.

3 0

3 years ago

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