All categories

3 years ago

PLEASE PLEASE HELP!!!GIVING BRAINLEIST!! RESPOND IN 5 MIN FOR POINTS!!❤️

Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

Step-by-step explanation:

The error carolyn has made is that she hasn't subtracted properly.

2x + 3y - (2x +6y) = 2x - 2x + 3y - 6y = -3y.

Carolyn probably didn't use parentheses...

To do the thing in substitution, we single out x or y in any equation. In this case, i'm gonna single out the x in the 2nd eqn. In other words, i'll make x the subject of the 2nd eqn.

2x + 6y = 10

2x = 10 - 6y

x = 5 - 3y

Now we simply plug in 5 - 3y wherever x apperas in the 1st equation.

2 (5-3y) + 3y = 8

10 - 6y + 3y = 8

10 - 3y = 8

-3y = -2

y = 2/3

Then x = 5 - 3*2/3 = 3

x=3

y=2/3

Hope it helps:)

You might be interested in

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu

arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

A cylinder and a cone have the same volume

Cylinder has a radius 2 inches and height of 3 inches.

Cone has a radius of 3 inches

Step:1

For Cylinder'

Formula to calculate the volume of cylinder is,

$V = \pi r^{2} h$ ..................................................(1)

where,

r - 2 inches

h - 3 inches

From the equation (1)

= $\pi$ × $2^{2}$ × 3

= 37.70

V = 37.70 cubic inches

Step:2

For cone,

Formula to calculate the volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ..................................................(2)

From the statement,

cylinder and a cone have the same volume

$V_{cylinder}$ = $V_{cone}$

37.70 = $\pi$ × $3^{2}$ × $\frac{h}{3}$

37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0

3 years ago

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^2?

aliya0001 [1]

Answer:

The discriminant of the quadratic equation is -7.

Step-by-step explanation:

We are given the following quadratic equation in the question:

$x^2+x+2 = 0$

Comparing to general quadratic equation:

$ax^2+bx+c = 0\\a = 1\\b = 1\\c = 2$

We have to find the discriminant of the quadratic equation.

Formula:

$d = b^2-4ac$

Putting values, we get,

$d = (1)^2 - 4(1)(2) = 1 - 8 = -7$

Thus, the discriminant of the quadratic equation is -7.

5 0

3 years ago

Solve the polynomial inequality and graph the

valkas [14]

Answer:

-6 < x < 3/4

Step-by-step explanation:

Hope this helps <333

6 0

3 years ago

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1?

JulsSmile [24]

Alright,
directix is y=something so it opens down or up

we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative

so we gts

focus=(1,1)
directix is y=-1
1>-1
focus is above

oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1

so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²

4th option

6 0

3 years ago

The sum of the angle measures in a 21-gon is

Dominik [7]

Answer:

180

Step-by-step explanation: The exterior angles sum to 360 and there are 21

6 0

3 years ago