Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)

Answer:

it is the last one {-4, -1, 0, 1, 2}

Step-by-step explanation:

Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Answer:

A

Step-by-step explanation:

Points of origin are  (-3,0) and (0,1). Now we determine if it is a positive slope, it is as it goes up not down. It goes up 1 unit and over to the right 3 units, making the slope 1/3.

Answer:

30°,60°,90°

Step-by-step explanation:

Let :-

As we know :-

So that ,

Angles ,

Answer:

Let the angles be x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

Angles,

Answer:

5.72

Step-by-step explanation:

Answer:

5.72 is bigger then 4.75

Step-by-step explanation:

Answer:

4.5% per year

Answer:

m = 14

Step-by-step explanation:

The entered points belong to an increasing, linear function.

Answer: 270

Step-by-step explanation:

1) Find DE

1 : 6

17 : x

Cross multiply

x = 17 * 6

x = 102

DE = 102

2) Compare the two triangles

1st (ABC)

side = 45

base = 17

2nd (ADE)

side = x

base = 102

[tex]\frac{x}{45} = \frac{102}{17}[/tex]

Cross multiply

17x = 102 x 45

17x = 4590

x = 4590/17

x = 270

AD = 270

Answer:

17.92

Step-by-step explanation:

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

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Answer: Part C: House 1 at 25 is at

$598820.5 (rounded to the

nearest cent) and House 2 is at

$511000. House 1 has a higher

value. I hope that helps

Answer:

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

The degree measure of each angle in the triangle.

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

∘

[tex]m\angle B=37^\circm∠B=37[/tex]

∘

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

∘

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

Step-by-step explanation:

Assumed the given is:

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

Find the angle measures:

Answer:

[tex]100%[/tex][tex]\%[/tex]

Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.

Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:

= Number of pages / Percentage read

= 60 / 40%

= 150 pages

The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:

= 150 / 40%

= 375 pages

In conclusion, Micah has read 375 pages.

Find out more at https://brainly.com/question/2807698.

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

Answer:

x=14.y=12

Step-by-step explanation:

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

x = 36.8698... ≈ 36.9°

Answer:

Yes.

Step-by-step explanation:

By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.

-kiniwih426

Length of board=35 3/4=143/4in

Length of postcard=5 7/8=47/8in

Total postcards

. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]

[tex]\\ \sf\longmapsto 3(Approx)[/tex]

No not best estimated option

Answer:

Step-by-step explanation:

The reasonable domain for the function 2 ( l + w ) = 64 is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

A function is defined as a relation between a set of inputs having one output each.

We have,

A function of the perimeter of a rectangle:

2 ( l + w ) = 64

Here,

l = length and w = width

We need to find the value of length and width such that the perimeter of the rectangle is 64.

Now,

2 ( l + w ) = 64

l + w = 32

This means the combined measure of length and width must give us 32.

We need to write as a function for length where width is given.

We can assume the width to be: 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We consider,

Width = 5, 10, 15, 20, and 25 to be the domain.

Length = 27, 22, 17, 12, and 7 to be the range.

We consider width values as the x-axis and length values as the y-axis.

The graph is given below.

Thus the reasonable domain for the situation given above is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

Learn more about functions here:

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HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

40 plus (2)42 plus 6x11

Step-by-step explanation:

Multiply

Answer:

46.6 is 69.5522% of 67

Step-by-step explanation:

brainliest plz

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]

.............................

Answer:

D. 5

Step-by-step explanation:

Ok, so the number is represented by n.

n-(-5)=10.

Negative Times Negative makes Positive. The equation is now:

n+5=10

Subtract 5 from both sides.

n=5