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3 years ago

I need to complete the equation of the line through (-10 3) and (-8 -8). Thanks in advance!

Mathematics

1 answer:

strojnjashka [21]3 years ago

4 0

Equation for line is given by,

(y-y1) = ((y2-y1)/(x2-x1)) * (x-x1)

Hence, y-3 = ((-8-3)/(-8+10)) * (x+10)

y-3 = (-11/2) * (x+10)

2y-6 = -11x -110

11x + 2y + 104 = 0 is the equation of the line.

Hope it helps!

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A regular fish tank is 18 in wide 12 in deep and 24 in tall what is the volume of that fish tank

Lady bird [3.3K]

Answer:

(4,5 feet)³=4,5³ cubic feet

Step-by-step explanation:

6 0

3 years ago

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.

algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.

Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is $=AB+BE+ED+DC+CA$

$=18+17+8+18+15$

$=76 \ ft$

Area of the polygon = Area of Rectangle + Area of Triangle

$=[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]$

$=270 + [(\frac{8}{2}) \times (15)]$

$=270 + [4 \times (15)]$

$=270 + 60$

$=330 \ {ft}^{2}$

7 0

3 years ago

Read 2 more answers

The sum of two consecutive integers is -207

Maru [420]

Answer:

They would be -104 and -103.

Step-by-step explanation:

-103 + (-104)

= -103 - 104

= -207.

3 0

3 years ago

What is an equation of the line that passes through the point (8,-5) and is parallel

HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

y=-5/4x+5

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0

3 years ago

PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp

KonstantinChe [14]

Part 1) we know that
m∠5=44° m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44°
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2)
a) what is m∠TPR?
in the right triangle PTR
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c) what is the length in inches of segment TR?
in the right triangle PTR
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d) what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
 (a) What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³

Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.(b) To the nearest centimeter, what is the volume of the candle?
volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

Patrice decides to use the remaining wax to create a candle in the shape of a cube.(c) To the nearest centimeter, what is the length of the side of the cube?

the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm

5 0

3 years ago