Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?

Answer:

[tex]\sqrt{61}[/tex] units

Step-by-step explanation:

We are given that

[tex]P_1=(-2,5)[/tex]

[tex]P_2=(4,0)[/tex]

We have to find the distance d (P1, P2) between the points P, and P2

We know that

Distance between  two points (x1,y1) and (x2,y2)  i

=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{6^2+25}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{61}[/tex] units

They would both have to sell 14 candies.

Step-by-step explanation:

They both sell 14 candies

Answer:

Step-by-step explanation:

f(-2) = (-2)^2 - (-2)^3

      = 4 - (-8)

      = 4 + 12

       = 16

Step-by-step explanation:

a. -3

e. -3x^2 -4x +3

b 27+12-3= 36

f. 3(x+2)^2 + 4(x+2) -3

c. 27-12-3= 12

g. 3(3x)^2 + 4(3x) -3

d. 3x^2 -4x -3

h. 3(x+h)^2 + 4(x+h) -3

The all values of the function f(x)= 3x² + 4x - 3 are f(0) = -3 ,-f(x)  = -3x² -4x +3, f(3) = 27+12-3= 36 ,f(x + 2)=  3(x+2)² + 4(x+2) -3 ,f(-3)=  27-12-3= 12,f(3x) = 3(3x)² + 4(3x) -3,f(-x) = 3x² -4x -3,f(x + h) = 3(x+h)² + 4(x+h) -3.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

a) f(0) = -3

(e) -f(x)  = -3x² -4x +3

(b) f(3) = 27+12-3= 36

(f) f(x + 2)=  3(x+2)² + 4(x+2) -3

(c) f(-3)=  27-12-3= 12

(g) f(3x) = 3(3x)² + 4(3x) -3

(d) f(-x) = 3x² -4x -3

(h) f(x + h) = 3(x+h)² + 4(x+h) -3

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

To solve for x, we make use of the following equivalent ratio

[tex]x :3.5 = 5 : 7[/tex]

Express as fractions

[tex]\frac{x}{3.5} = \frac{5}{7}[/tex]

Make x the subject

[tex]x= \frac{5}{7}*3.5[/tex]

[tex]x= \frac{5}{2}*1\\[/tex]

[tex]x = 2.5[/tex]

Answer:

x = -5

Step-by-step explanation:

2x = -10

x = -10/2

x = -5

Answer: 102cm²

Step-by-step explanation:

Area of base = 6 × 7 ÷ 2 = 21

Area of lateral face = 6 × 9 ÷ 2 = 27

Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.

27 × 3 = 81.

Now we add up the area of the base and the lateral faces.

21 + 81 = 102cm²

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

67

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of terms (n) = 12

Last term (L) = 100

Common difference (d) = 3

First term (a) =?

We can obtain the first term of the arithmetic sequence as follow:

L = a + (n – 1)d

100 = a + (12 – 1)3

100 = a + (11)3

100 = a + 33

Collect like terms

100 – 33 = a

a = 67

Therefore, the first term of the arithmetic sequence is 67

Answer:

The third one

Step-by-step explanation:

Answer:

The answer is below.

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.

In square ABCD:

AB = BC = CD = AC

Given that  P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.

a) In triangle ABP:

BC = AB (all sides of a triangle are equal)

BP = 1/2 (BC) = 1/2(AB) = 0.5AB

Using Pythagoras theorem:

AB² + BP² = AP²

substituting:

AB² + (0.5AB)² = a²

AB² + 0.25AB² = a²

1.25AB² = a²

AB² = a² / 1.25

AB² = 0.8a²

AB = √(0.8a²)

AB = a√0.8

b) In triangle ADQ:

AD = CD (all sides of a triangle are equal)

DQ = 1/2 (CD) = 1/2(AD) = 0.5AD

Using Pythagoras theorem:

AD² + DQ² = AQ²

substituting:

AD² + (0.5AD)² = b²

AD² + 0.25AD² = b²

1.25AD² = b²

AD² = b² / 1.25

AD² = 0.8b²

AD = √(0.8b²)

AD = b√0.8

c) In triangle ABD, Using Pythagoras theorem:

AB² + AD² = BD²

Substituting:

0.8a² + 0.8b² = BD²

But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²

BD = √(0.8a² + 0.8b²)

BD = √(1.6a²)     0.8a² = 0.8b²

BD = a√1.6

D) AC = AD (diagonal are equal)

AC = √(0.8a² + 0.8b²)

AC = √(1.6b²)     0.8a² = 0.8b²

AC = b√1.6

Answer:

Step-by-step explanation:

The axis of symmetry is vertical, so the parabola is vertical.

Vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)² + k

axis of symmetry: x = h

Apply your data and solve for h, k, and a.

vertex (-1,7)

h = -1

k = 7

y = a(x+1)² + 7

(0,10) is a point on the parabola

10 = a(0+1)² + 7

a = 3

The equation becomes

y = 3(x+1)² + 7

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.

Step-by-step explanation:

[tex] \sin(2x + 5) [/tex]

Let y = sin(z) . Where z = 2x +5

[tex]y = \sin(z) \\ z = 2x + 5[/tex]

Find the the derivatives

[tex] \frac{dy}{dx} = \cos(z) [/tex]

[tex] \frac{dz}{dx} = 2[/tex]

Multiply

[tex] \frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z) [/tex]

Remember that z = 2x+5

[tex]2 \cos(2x + 5) [/tex]

Answer:

63

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

Answer:

CHEEEESEEE

Step-by-step explanation:

CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA

Answer:

D

Step-by-step explanation:

The best way to work with fractions is to turn them into decimals by dividing the numerator by the denominator.

Answer:

b

Step-by-step explanation:

smaller the number bigger the size

Answer:

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Step-by-step explanation:

Explanation:-

Given that DEF with vertices D(2,6), E(5,6), and F(5,1)

Given that the triangle DEF reflection over the 'y' - axis then  transformed into

( x,y) → (-x,y)

Now,

D(2,6) → D¹( -2 ,6)

E(5,6)→ E¹( -5 ,6)

F(5,1)→ F¹ (-5,1)

Final answer:-

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Answer:

Hey this is your sign to have a great day!

Step-by-step explanation:

Good Luck!!!!!!!!!11

Answer:

a), and d)

Step-by-step explanation:

[tex](x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x[/tex]

Answer:

I think the answer is 5 (y = 5) because the lines intersection at x = -3.

Answer:

160

Step-by-step explanation:

Rectangle = 10x15=150

Triangle = 1/2x5x4=10

150+10=160

Step-by-step explanation:

Area of rectangle = width × length

= 10 × 15 = 150 cm²

The height of triangle = 14 - 10 = 4 cm

Area of triangle = 1/2 × base × perpendicular height

= 1/2 × 5 × 4

= 10 cm²

Area of this figure = area of rectangle + area of triangle

= 150 + 10 = 160 cm²

Answer:

Step-by-step explanation:

Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.

2x+2y+2z = 108

x+y+z = 54

Let x≤y≤z

x = z/2

y = ¾z

z/2 + 3z/4 + z = 54

2z/4 + 3z/4 + 4z/4 = 54

2z + 3z + 4z = 216

9z = 216

z = 24

x = z/2 = 12

y  = ¾z = 18

The numbers are 24, 36, 48

Answer:

Step-by-step explanation:

A straight line adds up to 180 degrees, therefore 3x+6x = 180

9x = 180

x = 20

Answer:

D. is the correct answer because it is greater than for 4 And also includes it

Answer:

D

no explanation lol I know its D

Answer:

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=tan(x)-\frac{2}{x}[/tex]

[tex]g(x)=x^2+8[/tex]

We have to find [tex]f(x)\times g(y)[/tex]

To find the value of [tex]f(x)\times g(y)[/tex] we will multiply f(x) by g(y)

[tex]g(y)=y^2+8[/tex]

Now,

[tex]f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)[/tex]

[tex]f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)[/tex]

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]

Hence,

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]