Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?
y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24

Answer:

The angle between the ramp and the horizontal is 11.54 degrees

Step-by-step explanation:

Here, we want to get the angle between the ramp and the horizontal

What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle

Now, the angle we want to calculate is the angle that faces the measure 2 m

The given measure of 10 m will represent the hypotenuse of the right triangle

The trigonometric ratio that links the hypotenuse and the opposite is the sine

The sine is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sin theta = opp/hyp

sin theta = 2/10

sin theta = 0.2

theta = sin^-1 0.2

theta = 11.54

Answer:

Step-by-step explanation:

The simple answer is just move the left semi-circle to the right end and fill in the missing semi-circle.  So the answer just becomes the area of the full rectangle....

       area of the newly formed rectangle is 4 times 6  

       Area = 24

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

[tex]a^2 + b^2 = c^2[/tex]

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

[tex]a^2 + 7^2 = 25^2[/tex]

------------------------

Solve.

[tex]a^2 + 49 = 625[/tex]

[tex]a^2 -49 = 625 - 49[/tex]

[tex]a^2 = 576[/tex]

[tex]\sqrt{a^2} = \sqrt{576}[/tex]

[tex]a = 24[/tex]

[tex]\rm\underline\bold{Answer \purple{\huge{\checkmark}}}[/tex]

C.

A = A0e^-0.000103k

Answer:32

Step-by-step explanation: The volume of A is 32:)

Answer:

False

Step-by-step explanation:

False, because whenever you subtract a negative number, you always end up adding because two negatives make a positive. Lets say n is 4 and m is -3, 4-(-3) is going to turn into 4+3=7.

The Awad'claims that "when m is a negative integer and n is a positive integer, n - m is always negative". which is false.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Awad claims that when m is a negative integer and n is a positive integer, n - m is always negative.

The above claim is false because subtracting a negative integer always results in an addition because two negatives equal a positive.

For example, n is 6 and m is -2; 6 -(-2) will equal 6 + 2 = 8.

Hence, the Awad'claims that "when m is a negative integer and n is a positive integer, n - m is always negative". which is false.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ2

Answer:

X=60

Step-by-step explanation:

Sum of the Quadrilateral interior angles:360

360-70-130-100=60

Answer:

total area = 39.6 square units

Step-by-step explanation:

determine the inside angle

360 / 5 = 72°

half of the triangle = 36°

given:

adj = 3.3

Ф = 36°

length of the opp of a small triangle is = adj. tan Ф

opp = 3.3 * tan 36 = 2.4

area of a triangle = 1/2 b * h   x  2 tringles

area =( 1/2 * 2.4 * 3.3  ) * 2

area = 7.92  multiplied by 5 equal shapes

total area = 7.92 * 5

total area = 39.6 square units

hope this helps

mark me as a brill please

good luck

The total area of the regular polygon should be considered as the 39.6 square units.

But before that following things should be calculated

first determine the inside angle i.e.

[tex]= 360 / 5[/tex]

= 72°

Now

half of the triangle = 36°

Since

adj = 3.3

Ф = 36°

So,

opp =[tex]3.3 * tan 36[/tex] = 2.4

Now

area of a triangle =[tex]1/2 b * h * 2[/tex]

[tex]=( 1/2 * 2.4 * 3.3 ) * 2\\\\= 7.92 * 5[/tex]

= 39.6 square units

hence, The total area of the regular polygon should be considered as the 39.6 square units.

Learn more about area here: https://brainly.com/question/24682685

Answer:

ur right

it's -1013

bc you need to do multiplication first so the equation turns out to be

10 - 1000 - 23

so then that turns to -1013 if you calculate left to right

What did ur friend get???

Answer:

There are 3 x’s so the answer would be 30

Answer:

a. subtract three from both sides

Answer:

h = 4.5 units

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 6.75 and b = 3 , then

[tex]\frac{1}{2}[/tex] × 3h = 6.75

1.5h = 6.75 ( divide both sides by 1.5 )

h = 4.5

we have

base [b]=3 units

height [h]=x units

area of triangle =6.75 square units

we have

area of triangle =1/2 b×h

6.75 square units =1/2×3×x

x=6.75×2/3=4.5units

so height is 4.5 units.

Answer:

Height is 1 1/24 unit.  

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

(hope this helps can i plz have brainlist :D hehe)

Answer: x=16-9

Step-by-step explanation:

16= total parking space

there are 9 plane already parked

16-9 = how many more plane can park

so the inequality is x=16-9

Answer:

16 ≥ 9 + x

Step-by-step explanation:

Step-by-step explanation:

First of all, let us lay down the clues;

●There is a 20% discount on the mobile set.

●The price after the discount is Rs 13 920

●We need to find the original price.ie.(100% stands for original price)

Now let's start;As there is a 20% Discount on the m.Set, we need to find the exact percentage decrease.

So,

100%-20%= 80%

Now let's do Direct Proportion,

80%= Rs 13 920

1%= 13 920/80

100%= 13 920/80*100=Rs 17 400

RS 17 400

Answer:

solution - (2,1)

For the graph - just copy my graph

Step-by-step explanation:

The equations are fully simplified already so all we have to do is graph them and find the solution

The solution being where the two lines graphed intersect

As you can see in the graph below the two lines intersect at point (2,1) therefore the solution to the system of equations is (2,1)

Answer:

100.48 cm³

Step-by-step explanation:

Volume of a cone, V = 1/3 * pi * r² * h

Radius, r = 4 cm ; h = 6cm

V = 1/3 * 3.14 * 4² * 6

V = 1/3 * 3.14 * 16 * 6

V = 3.14 * 16 * 2

V = 3.14 * 32

V = 100.48 cm³

Hence, the volume of the cone is 100.48 cm³

Answer:

The quadrilateral is a rhombus

Step-by-step explanation:

Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus

A rhombus is a quadrilateral with all its sides equal to each other.

We prove this using the formula

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1, y1) and (x2, y2)

For sides PL

P(-2, 3) L( 2, 6)

√(2 - (-2))² + (6 - 3)²

= √4² + 3²

= √16 + 9

= √25

= 5 units

For sides LU

L( 2, 6) U (7,6)

√(7 - 2)² + (6 - 6)²

= √5²

= √25

= 5 units

For side US

L( 2, 6) U (7,6)

= √(7 - 2)² + (6 - 6)²

= √5² + 0²

= √25

= 5 units

P(-2, 3), S(3, 3)

= √(3 - (-2))² + (3 - 3)²

= √5² + 0²

= √25

= 5 units

From the above calculation,

PL = LU = US = PS = 5 units

Hence, the above quadrilateral is a rhombus

Answer:

you are a lie you said you will give 15 points and its only 8

Step-by-step explanation:

Answer:

The relation is a function because each input has exactly one output.

Step-by-step explanation:

Answer:

l think the answer of this question is 255°

Answer:

Book D

Step-by-step explanation:

The shelf goes horizontal and Book D is standing vertically, so they're perpendicular.

Answer:

28

Step-by-step explanation:

4 x 7 = 28

28 + 4 = 32

Answer:

28

Step-by-step explanation:

4 x 7 = 28

28 + 4 = 32

Answer:

9. trapeziod, quadrelateral 10. a square because they both have 4 sides

Step-by-step explanation:

Answer:

corvet covet hop in that   jet way jet

Step-by-step explanat

Answer:

Step-by-step explanation:

Budgeted Income $ Actual Income $ Difference

Wages $2,500.00 Wages $2,650.00 $150.00

Total Budgeted Wages $2,500.00 Total Actual Income $2,650.00 $150.00

Budgeted Expenses $ Actual Expenses $ Difference

Food $525.00 Food $500.00

A.

Credit Card $100.00 Credit Card $100.00 $0.00

Field Trips $0.00 Field Trips $15.00 -$15.00

Gas $150.00 Gas $120.00 $30.00

Clothing $0.00 Clothing $80.00

B.

Gifts $100.00 Gifts $20.00 $80.00

Entertainment $100.00 Entertainment $65.00

C.

Mortgage Payment $1,080.00 Mortgage Payment $1,080.00 $0.00

Utility Bills $160.00 Utility Bills $140.00 $20.00

Car Payment $225.00 Car Payment $225.00 $0.00

Car Insurance $157.00 Car Insurance $157.00 $0.00

Total Budgeted Expenses $2,597.00 Total Actual Expenses $2,502.00 $95.00

Surplus/Shortage D. Surplus/Shortage

E.

$245.00

Answer:

A and C

Step-by-step explanation:NLE Choppa said so

Answer:

a and c

Step-by-step explanation:

Answer:

45 pounds of the chocolate candy and 5 pounds of the peanut butter candy.

Step-by-step explanation:

let's define the variables:

p = pounds of peanut butter candy she uses

c = pounds of chocolate candy she uses.

We know that she wants to have a total of 50 pounds of the mixture, then we will have that:

p + c = 50

We also want that these 50 pounds sell for $2.16 per pound.

Then we must have that the price for the candies in the mixture must be equal to the desired price, we can write this as:

p*$3.60 + c*$2.00 = (50 )*($2.16 )

Then we have the system of equations:

p + c = 50

p*$3.60 + c*$2.00 = (50)*($2.16) = $108

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate p in the first equation to get:

p = 50 - c

Now we can replace this in the other equation to get:

(50 - c)*$3.60 + c*$2.00 = $108

Now we can solve this for c.

$180 - c*$3.60 + c*$2.00 = $108

$180 - c*$1.60 = $108

$180 - $108 = c*$1.60

$72 = c*$1.60

$72/$1.60 = c = 45

This means that she should use 45 lb of the chocolate candy, and using the equation:

p + c = 50

p + 45 = 50

p = 50 - 45 = 5

p = 5

She should use 5 lb of the peanut butter candy.