Find the equation of the line that passes through points A and B.
y.
A (4,7)
B (2,3)

m=-2

-2*5=-10

Hope this helps!

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Answer:

Scalene

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+4

The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.

The point-slope form of the line is y-y₁ = m( x-x₁)

Here, m is the slope of the line.

The graph given in the question has a slope of 5

It passes through the point ( -1,3)

The point slope form of the line is

y - 3 = 5 ( x - (-1))

y-3 = 5(x+1)

This is represented by option C.

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Answer:

15.7 cm

Step-by-step explanation:

The perimeter of the entire circumference is

entire perimeter = 2п r

п = 3.14 (aprox)

r = radius = 3cm

entire perimeter = 2*3.14*3 = 18.84 cm

the entire perimeter of the circumference corresponds to 360 degrees

then,

proportions:

18.84 cm ⇔ 360°

F cm ⇔  300°

F = 18.84*300/360

F = 15.7 cm

Answer:

x = 9.6 meters

y = 20.98 meters

Shadow length = 11.38 meters

Step-by-step explanation:

By applying tangent rule in right triangle ABD,

tan(21)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(21) = [tex]\frac{x}{25}[/tex]

x = 25(tan 21)

x = 9.5966

x ≈ 9.60 meters

Similarly, by applying tangent rule in ΔABC,

tan(40)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(40)° = [tex]\frac{BC}{AB}[/tex]

tan(40)° = [tex]\frac{y}{25}[/tex]

y = 25(tan 40°)

y = 20.98 meters

Length of the shadow of the man = y - x

                                                        = 20.98 - 9.60

                                                        = 11.38 meters

Answer:

The first one

Step-by-step explanation:

The amplitude is usually the first number (for example, in this equation, the 3). Then you also know that the right or left shift depends on the addition or subtraction sign. Usually, the subtraction sign means to the right and the addition sign means to the left.

We have that the graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

From the Question we are told that

A graph has

Amplitude of 3

Phase [tex]\phi= \frac{\pi}{4}[/tex]

Generally the equation for the Wave Equation  is mathematically given as

[tex]Asin(kx-wt+\phi)[/tex]

Therefore the Equation for this particular wave is

[tex]3sin2(x+\phi)[/tex]

Hence

The graph of which function has an amplitude of 3 and a right phase shift of [tex]\phi= \frac{\pi}{4}[/tex]  is

[tex]3sin2(x+\phi)[/tex]

The Correct option is D

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Answer:

b

Step-by-step explanation:

b

Answer:

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Step-by-step explanation:

We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).

We have to translate the quadrilateral MNPQ using vector <3,-4>

The translate the coordinates of vertices (x,y) using the vector <a,b>  is given by the rule

[tex](x,y)\rightarrow (x+a,y+b)[/tex]

Using the rule

The new coordinates of M

[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]

[tex](-3,-2)\rightarrow (0,-6)[/tex]

The new coordinates of N

[tex](-1,4)\rightarrow (2,0)[/tex]

The new coordinates of P

[tex](2,4)\rightarrow (5,0)[/tex]

The new coordinates of Q

[tex](4,-2)\rightarrow (7,-6)[/tex]

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

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Answer:

y=-4x-4

Step-by-step explanation:

Answer:

y=-4x+4

Step-by-step explanation:

Use order of operations, PEMDAS, to put it in y=mx+b form.

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

solution -4x+6

Answer:

[tex]f(-2)=-6[/tex]

Step-by-step explanation:

[tex]f(x)=-4x^{2} +10[/tex]

At x=-2

[tex]f(-2)=-4(-2)^{2} +10[/tex]

[tex]f(-2)=-4(4) +10[/tex]

[tex]f(-2)=-16 +10[/tex]

[tex]f(-2)=-6[/tex]

Answer:

add 7 on both sides. b-7+7=12+7 to eliminate 7. you get b=19. hope this helps.

Answer:108

Step-by-step explanation:

12+12+42+42

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

Answer:

D) CE=10

Step-by-step explanation:

FG=6x-7

CE=18-4x

2FG=CE

2(6x-7)=18-4x

12x-14=18-4x

simplify

16x=32

x=2

substitute

CE=18-4(2)

CE=18-8

CE=10

Answer:

I don't understand what you're trying to ask the picture is blurry

Answer:

1. -10

2. -11

Step-by-step explanation:

Answer:

The volume of the box is 1630.72

Step-by-step explanation:

11.2x11.2x13= 1630.72

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer: 1%

Step-by-step explanation:

Let x be the sale price.

Commission  = 6.5% of x = 0.065x  (Before discount)

Discount amount = 10% of x = 0.1x

Final sales price = x- 0.1x = 0.9x

Commission after discount = 6.5% of (0.9x)

= 0.065 (0.9x)

= 0.0585x

Loss = ( Commission before discount ) - (Commission after discount )

= 0.065x - 0.0585x

= 0.0065x

Loss percent = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]

Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.

The sales person lost a commission of 10%.

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