Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer 1

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer 2

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3


Related Questions

Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!

Answers

Step-by-step explanation:

We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).

Answer:

(-2 + -5x)(2 + -3x)

Simplifying

15x2 + -4x + -4

Reorder the terms:

-4 + -4x + 15x2

Factor a trinomial.

(-2 + -5x)(2 + -3x)

Final result:

(-2 + -5x)(2 + -3x)

Can i get Brainlest??? Plzzz :D

Mariam is putting a shed in her garden and needs to build the
base
The shed has a rectangular base so the base will need to be a
rectangular prism.
The base will need to be 30cm deep, 1.9m long and 1.6m wide.
Calculate the volume of the foundations in m'
Concrete is a mix of different things. Aggregate, cement and wa
The ratio of these is 7:2:1
Calculate the volume of each element required



Answers

Answer:

The volume of the base is 91.2 m^2.

The volume for aggregate, cement, and wa(?) is 63.84 m^2, 18.24 m^2, and 9.12 m^2 respectively.

Step-by-step explanation:

Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3​

Answers

Answer:

x > 4

Step-by-step explanation:

7x + 2 > 30

Subtract 2 from each side

7x + 2-2 > 30-2

7x > 28

Divide each side by 7

7x/7 > 28/7

x > 4

Answer:

it is c

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer

Answers

Step-by-step explanation:

100-50=50

50/5=10

10/10=1 and

I hope you liked it please mark brainliest
100-50=50
50/5= 10
10/10= 1
final answer is 1

How to check if a binomial is a difference of squares ?

Answers

This I my explanation for this question if it is helpful your welcome

All rectangles are parallelograms. True or False.​

Answers

all rectangles are parallelograms, but only SOME parallelograms are rectangles.

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

Help Immediately! +10 points!
What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm

Answers

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches

Answers

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ3

Which equation matches these solutions? x = 5, -7
Group of answer choices

(x + 5)(x + 7)=0

(x + 5)(x - 7)=0

(x - 5)(x + 7)=0

(x - 5)(x - 7)=0

Answers

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Answer

The answer is the first one

marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities

Answers

Answer: 50 miles

Step-by-step explanation:

On maps one inch is a mile

I need help please thanks

Answers

Answer:

1/6

Step-by-step explanation:

The answer is D. Hope this helped :)

14. Compare the graph below to the function

Answers

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit

Answers

Answer: 181.46 square inches

Step-by-step explanation:

Area = pi ˣ r squared

Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.

What is the sum of 3 times a number and 2

Answers

Answer:

3x+2

Step-by-step explanation:

I believe you asked for the equation

PLEASE HELP! ITS DUE TODAAY!

Answers

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

find the area of the shaded part of the figure below

Answers

Answer:

70

Step-by-step explanation:

Answer:

70 cm^2

Step-by-step explanation:

Multiply (20x8)/2 to find the area of the triangle.  Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.

Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Answers

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+bParallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

Factor::
x^2+8x-20
thank youuu

Answers

Answer:

[tex](x+10)(x-2)[/tex]

Step-by-step explanation:

[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]

You can confirm this by working backwards, expanding:

[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]

Hope this helps!

A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?

Answers

Answer:

$584.28

Step-by-step explanation:

first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.

54 x 10.82 = 584.28

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.

Answers

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

Write y = 2/3 x+ 7 in standard form using integers.

Answers

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above

Answers

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Good question and the answer is A

There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP

Answers

Answer: Yes

if the selection is randomly picked and it's within the statistical population.

Step-by-step explanation:

Sampling is the random selection of objects within the statistical data or population.

This random selected individual will represent the whole population.

If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.

PLz help right answers only will give brainliest!!!!

Answers

Answer:

-48

Step-by-step explanation:

First You put The question in Order

HOPE THIS HELP

STAY SAFE:)

The answer for this question is D

A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?

Answers

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale

Answers

Answer:

C =31.4 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

________________________________

Solution,

Radius(r)=5 inches

Circumference of the circle=?

Now,

Circumference of circle= 2 pi r

=2*3.14.5

=31.4 inches.

Hope it helps...

Good luck on your assignment

_______________________________

This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.

Answers

Answer:

V = 10 in^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We have the diameter

r = d/2 = 2.7/2 =1.35

V = 4/3 ( 3.14) (1.35)^3

V =10.30077

Rounding to the nearest whole number

V = 10 in^3

Answer:

10 in^3

Step-by-step explanation:

Which is the most efficient way to solve this equation?
8=48


Add 8
8 to both sides of the equation.


Divide both sides of the equation by 48



Divide both sides of the equation by 8


Nothing. The equation is already solved




Don't guess please :(

Answers

Divide both sides of the equation by 8
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