A line contains the point (-4,6) and has a slope of -2/3 write the equation of the line using point-slope form

Answer:

8(x^2 − 22x + 128)

Step-by-step explanation:

8(x^2 − 22x + 128) Take 8 as a common factor

The equivalent expression that is most useful to find the year where the population is minimum is, 8(x-11)^2+56

A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term

Given an expression that represents the population from 1998 to 2018,

[tex]8x^2-176x+1024[/tex]

Let,

[tex]y=8x^2-176x+1024[/tex]

Which is an upward parabola,

Since, the minimum value of an upward parabola,

[tex]y=a(x-h)^2+k[/tex]

is find at x = h,

From equation (1),

[tex]y=8x^2-176x+1024[/tex]

[tex]y=8x^2-176x+968-968+1024[/tex]

[tex]y=8(x^2-22x+121)+56[/tex]

[tex]y=8(x-11)^2+56[/tex]

By comparing,

The population is minimum at x = 11. ( that is after 11 years since 1998 )

Hence, the equivalent expression that is most useful to find the year where the population is minimum is,8(x-11)^2+56

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Answer:

Perimeter = 20

Step-by-step explanation:

Perimeter = 9 + 5 + 6

Best Regards!

Answer:

x = 2/3 ± i√14/3

Step-by-step explanation:

Answer:

The side length is 2 cm

Step-by-step explanation:

The volume of a cube is s^3

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3 = s^3 ^ 1/3

2 = s

The side length is 2 cm

Answer:

2 cm

Step-by-step explanation:

The volume of a cube can be found using the following formula:

V=s^3

where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.

8 cm^3=s^3

We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.

(8 cm^3)^1/3=(s^3)^1/3

(8 cm^3)^1/3=s

2 cm=s

The length of one side is 2 centimeters.

Answer:

The altitude is 6.53 cm

Step-by-step explanation:

A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;

Sides of the equilateral triangle = 8 cm

Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;

The slant height, h = √(8² - (8/2)²) = √48 = 4×√3

The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h

Therefore;

8² = H² + (2/3×4×√3)²

H² = 8² - (2/3×4×√3)²

H² = 64 - 64/3 = 128/3

The altitude H = √(128/3) = √6×8/3 = 6.53 cm.

Answer:

unanswerable,don't censore the question

Step-by-step explanation:

sorry pal

Answer:

n is the seventh term=5832

Step-by-step explanation:

a1=8

r=3

a(n)=a1*r^(n-1)=

an=8*3(n-1)

8+24+72+216+648+1944+5832=8744

Answer:

the correct answer is

Step-by-step explanation:

= 12 1/2 - (-4 1/2)

=17

hope this helps you!!!!!

Answer:

17

Step-by-step explanation:

12 1/2 - (-4 1/2)

Turn to improper fractions.

25/2 - (-9/2)

Negative times negative is positive.

25/2 + 9/2

Add fractions with common denominators.

34/2

Divide.

= 17

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

Answer:

p : q : r = 1 : 8/3 : 3/2

Step-by-step explanation:

p/q = (3/4)/2 = 3/(4*2) = 3/8

=> q = (8/3)p

p/r = (1/3)/(1/2) = (1*2)/(3*1) = 2/3

=> r = (3/2)p

=> (p, q ,r) = (p, (8/3)p, (3/2)p)

=> p : q : r = 1 : 8/3 : 3/2

Hope this helps!

Answer:

42x48

Step-by-step explanation:

Answer:

C. 5/2

Step-by-step explanation:

A'B'/AB = 5/2

Answer:

x=4 and the solution is not extraneous

Step-by-step explanation:

[tex]\sqrt{2x+1}=3 \\\\2x+1=9 \\\\2x=8 \\\\x=4[/tex]

This solution is not extraneous, because plugging it back in you get:

[tex]\sqrt{2(4)+1}=3 \\\\\sqrt{9}=3 \\\\3=3[/tex]

Hope this helps!

Answer:

X = 4, solution is not extraneous

Step-by-step explanation:

3 = √9

so we get the following comparison;

2X + 1 = 9 (both minus 1)

2X = 8 (divide by 2)

X = 4

if we fill in 4 for X. we get

√2•4+ 1 = √9 = 3 so the solution is not extraneous

Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.

Answer:

m∠A = 166°

Step-by-step explanation:

∠B and ∠A are corresponding angles because the two lines are congruent. Therefore:

7x + 40 = 3x + 112

Subtract 3x from both sides:

4x + 40 = 112

Subtract 40 from both sides:

4x = 72

Divide both sides by 4:

x = 18

Plug this in for ∠A:

∠A = 7 (18) + 40

m∠A = 166°

Answer:

-72

Step-by-step explanation:

-32 + (2-6)(10).

PEMDAS

parentheses first

-32 + -4*10

Then multiply

-32 -40

Then subtract

-72

Answer:

-49

Step-by-step explanation:

Answer:

20 + 5x = 50

Step-by-step explanation:

Let the number of cakes Sam baked this week be x

Total amount he received this week = $50

Amount he receives each week = $20

Amount he receives for baking one cake = $5

Amount he would receive for baking x cakes = $5x

Equation: 5x + 20 = 50

Answer:

20 + 5x = 50

Step-by-step explanation:

Let x be the number of cakes

Amount paid per cake = $5

Amount paid for "x" cakes = 5*x = 5x

Basic payment per week = $20

Amount paid that week = 20 + 5x

20 + 5x = 50

This question is incomplete because it lacks the appropriate options

Complete Question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Which statement is true about the angles?

a) Measure of angle A = 20 degrees

b) Measure of angle B = 60 degrees

c) Angle A and Angle B are complementary

d) Measure of angle A + measure of angle C = 100 degrees

Answer:

a) Measure of angle A = 20 degrees

Step-by-step explanation:

It is known that the sum of angles in a triangles = 180°

We are given these values in the question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Therefore,

Angle A + Angle B + Angle C = 180°

2x + 5x + 11x = 180°

18x = 180°

x = 180°/ 18

x = 10°

Finding each of the angles

Angle A = 2x = 2 × 10 = 20°

Angle B = 5x = 5 × 10 = 50°

Angle C = 11x = 11 × 10 = 110°

Therefore, the correct option is:

a) Measure of angle A = 20 degrees

The true statement is required.

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

[tex]\angle A=2x[/tex]

[tex]\angle B=5x[/tex]

[tex]\angle C=11x[/tex]

The sum of the angles in a triangle is [tex]180^{\circ}[/tex]

So

[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]

[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

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Answer:

a:is the answer good luck men

Answer:

Equilateral Triangle and Hexagon

Step-by-step explanation:

Am Supreme Ruler.

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]

The value to be paid is the product value plus the tax, therefore:

[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]

Avery needs to pay $14.84

Answer:

f(x) = 3.56(2.04)^x

Step-by-step explanation:

Put x as 2, to see whether the output will be close to 16.

116.4 - 42.8 ln(2) = 86.733301

2.04(3.56)^2 = 25.854144

3.56(2.04)^2 = 14.815296

-42.8 + 116.4 ln(2) = 37.882332

Put x as 3, to see whether the output will be close to 30.

116.4 - 42.8 ln(3) =69.379394

2.04(3.56)^3 = 92.040753

3.56(2.04)^3 = 30.223204

-42.8 + 116.4 ln(3) = 85.07847

Put x as 6, to see whether the output will be close to 271.

116.4 - 42.8 ln(6) = 39.712695

2.04(3.56)^6 = 4152.69615

3.56(2.04)^6 = 256.584846

-42.8 + 116.4 ln(6) = 165.760802

Put x as 7, to see whether the output will be close to 522.

116.4 - 42.8 ln(7) = 33.115046

2.04(3.56)^7 = 14783.598295

3.56(2.04)^7 = 523.433085

-42.8 + 116.4 ln(7) = 183.703941

The exponential function that models the data is f(x) = 3.56(2.04)^x.

Answer:

Answer CL  586 cm^2

Step-by-step explanation:

Hello.  It's pi, not pie.

The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or

A1 = 63 cm^2.

The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.

The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2

Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or

586 cm^2 approximately.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment....

Answer:

Check the attachment below!

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Answer:

d

Step-by-step explanation:

Answer: 3/10

Step-by-step explanation:

Equations:

m = d + 35

When girl is 15, mom is 35+15 = 50

Ans: girl = (15/50) = 3/10 of the mother's age.

Answer:

-3/2

Step-by-step explanation:

With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i.e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative

Answer:

Slope is -3/2

Step-by-step explanation:

The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us -1

=> The slope of this line is 2/3

=> The slope of line perpendicular to it would be -3/2

Multiplying the two slopes:

=> (2/3)*(-3/2)

=> -1

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

[tex]WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}[/tex]

Since triangle WXY is Isosceles, [tex]\angle XYW=45^\circ[/tex]

[tex]\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ[/tex]

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

[tex]WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7[/tex]

The value of a in the triangle illustrated is 7.

From the information, the length of WY will be:

WY = ✓4² + ✓4²

WY = ✓32

Therefore, angle WYZ will be:

= 135° - 45°

= 90°

Therefore, the value of a will be calculated thus:

a² = 9² - (✓32)²

a² = 81- 32

a = ✓49

a = 7

In conclusion, the value of a is 7.

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Answer:

see explanation

Step-by-step explanation:

Given

(a + b - 2)(a - b + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis

= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms

= a² - b² +4b - 4

Answer:

this may help uh to get answer..

Answer:

x = 116°

y = 90°

Step-by-step explanation:

∠F = 90°, so arc EDS = 180°.

Therefore, arc EFS = 360° − 180° = 180°.  Which means ∠D = 90°.

Angles of a quadrilateral add up to 360°, so:

x + 90° + 90° + 64° = 360°

x = 116°

Answer:

The value of x is 116° and y = 90°

Step-by-step explanation:

Given that opposite supplementary angles in a cyclic quadrilateral is 180° :

[tex]x + 64 = 180 \\ x = 180 - 64 \\ x = 116[/tex]

[tex]y + 90 = 180 \\ y = 180 - 90 \\ y = 90[/tex]

Answer:

answer D

Step-by-step explanation:

let s estimate the D.

(2x+5) is a common factor so we can write

[tex](2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)[/tex]

and this is the expression of the question

hope this helps

The correct answer would be D

Hope this helps! :)