4. 19 feet to inches

Lets do

[tex] \\ \sf \longmapsto \: 3(x + 5) - 7 = 2(x +2) \\ \\ \sf \longmapsto \: 3x + 15 - 7 = 2x + 4 \\ \\ \sf \longmapsto \: 3x + 8 = 2x + 4 \\ \\ \sf \longmapsto \: 3x - 2x = 4 - 8 \\ \\ \sf \longmapsto \: x = - 4[/tex]

Answer:

Step-by-step explanation:

The easiest way to do this is to complete the square on the quadratic. This allows us to see what the vertex is and answer the question without having to plug in a ton of numbers to see what the max y value is. Completing the square will naturally put the equation into vertex form:

[tex]y=-a(x-h)^2+k[/tex] where h will be the time it takes to get to a height of k.

Begin by setting the quadratic equal to 0 and then moving over the constant, like this:

[tex]-4.9t^2+19.6t=-58.8[/tex] and the rule is that the leading coefficient has to be a 1. Ours is a -4.9 so we have to factor it out:

[tex]-4.9(t^2-4t)=-58.8[/tex] Now take half the linear term, square it, and add it to both sides. Our linear term is a -4, from -4t. Half of -4 is -2, and -2 squared is 4, so we add a 4 to both sides. BUT on the left we have that -4.9 out front there as a multiplier, so we ACTUALLY added on to the left was -4.9(4) which is -19.6:

[tex]-4.9(t^2-4t+4)=-58.8-19.6[/tex] and now we have to clean this up. The right side is easy, that is -78.4. The left side...not so much.

The reason we complete the square is to create a perfect square binomial, which is the [tex](x-h)^2[/tex] part from above. Completing the square does this naturally, now it's just up to us to write the binomial created during the process:

[tex]-4.9(t-2)^2=-78.4[/tex] Now, move the constant back over and set the equation back equal to y:

[tex]-4.9(t-2)^2+78.4=s(t)[/tex] and we see that the vertex is (2, 78.4). That means that 2 seconds after launch, the object reached its max height of 78.4 meters, the third choice down.

Answer:

A

Step-by-step explanation:

A compressed by a factor of 1/4 in the y or vertical direction

Answer:

1.11

Step-by-step explanation:

Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11

Answer:

m<EFG = 72°

m<GFH = 108°

Step-by-step explanation:

m<EFG = 2n + 16

m<GFH = 3n + 24

Linear pairs are supplementary, therefore,

m<EFG + m<GFH = 180°

Substitute

2n + 16 + 3n + 24 = 180

Add like terms

5n + 40 = 180

5n + 40 - 40 = 180 - 40 (subtraction property of equality)

5n = 140

5n/5 = 140/5 (division property of equality)

n = 28

✔️m<EFG = 2n + 16

Plug in the value of n

m<EFG = 2(28) + 16 = 72°

✔️m<GFH = 3n + 24

Plug in the value of n

m<GFH = 3(28) + 24 = 108°

Answer:

B. 82.8

Step-by-step explanation:

Answer:

30 degrees.

Step-by-step explanation:

Let the acute angle be x.

Then as the 2 acute angles in a right triangle sum to 90 degrees,

x = 90 - 60

= 30.

We used the information we know to give us this equation.

90°+60°+x=180°

We add 90° and 60° to give 150°

150°+x=180°

Answer:

72√2

Step-by-step explanation:

3√2 × 2√8 × √3 × √6

The above can be simplified as follow:

3√2 × 2√8 × √3 × √6

Recall

a√c × b√d = (a×b)√(c×d)

3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)

= 6√288

Recall

288 = 144 × 2

6√288 = 6√(144 × 2)

Recall

√(a×b) = √a × √b

6√(144 × 2) = 6 × √144 × √2

= 6 × 12 × √2

= 72√2

Therefore,

3√2 × 2√8 × √3 × √6 = 72√2

Answer:

DE ║ BC

BC = 2(DE)

Step-by-step explanation:

From the picture attached,

AD = DB [Given]

AE = EC [Given]

Therefore, points D and E will be the midpoints of the sides AB and AC.

By midsegment theorem,

Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.

DE ║ BC

DE = [tex]\frac{1}{2}(BC)[/tex]

BC = 2(DE)

Answer:

9 to 3

Step-by-step explanation:

Those who don't enjoy reading: 8+1=9

Those who don't enjoy playing video games: 1+2=3

Ratio is 9 to 3.

Answer:

Step-by-step explanation:

42000+67000+305000=1403000(1897500-140300=1757200

The profit each of them received is $150500,$236500 and $107500

It is given that Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500, we have to find the profit each of them received

What is Profit?

Profit= Selling Price - Cost price

Total Investment= $427000+$671000+$305000

=$1403000

Profit=$1897500-$1403000=$494500

Profit share=(Investment/Total Investment)*Total Profit

Albert Profit=($427000/$1403000)*$494500=$150500

Imran Profit=($671000/$1403000)*$494500=$236500

Siti Profit=($305000/$1403000)*$494500=$107500

Therefore profit each of them received is $150,500, $236500, $107500

To know more about profit click here:https://brainly.com/question/15036999

#SPJ2

The first circle has equation

(x - 2)² + (y + 1)² = 4²

and the second has equation

(x - 2)² + (y - 5)² = (√10)²

Solve for (x - 2)² :

(x - 2)² + (y + 1)² = 4²   ==>   (x - 2)² = 16 - (y + 1)²

(x - 2)² + (y - 5)² = (√10)²   ==>   (x - 2)² = 10 - (y - 5)²

Then

16 - (y + 1)² = 10 - (y - 5)²

16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)

15 - 2y - y ² = -15 + 10y - y ²

30 - 12y = 0

12y = 30

y = 30/12 = 5/2

(this is the y coordinate of A and B)

Then solve for x :

(x - 2)² = 16 - (5/2 + 1)²

(x - 2)² = 15/4

x - 2 = ± √(15/4) = ±√15/2

x = 2 ± √15/2

(these are the x coordinates for either A or B)

The intersections are the points A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). We want to find the squared distance between them:

(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²

(AB)² = (-√15)² + 0²

(AB)² = 15

Answer:

8

Step-by-step explanation:

Using the chord chord theorem

10(4) = 5x

Solve for x

Simplify multiplication

40 = 5x

Divide both sides by 5

40/5 = 8

5x/5 = x

We're left with x = 8

Note:

Chord chord theorem states that if two chords intersect then the product of the measures of each part of one chord is equal to the product of the measures of the parts of the other chord.

Because the chords shown intersect the product of the parts of each chord should be equal to each other ( 4 * 10 = 5x )

Source: https://www.dummies.com/education/math/geometry/how-to-use-the-chord-chord-power-theorem

Answer:

6=b

Switch sides

b=6

Answer:

a=10 and b=6

Step-by-step explanation:

it is in picture

Please mark me as brainliest

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

     [tex]\frac{area}{width}[/tex]=length

     [tex]\frac{105}{7}[/tex]= 15

      Length=15

2: Pythagorean theorem

      [tex]a^{2} +b^2=c^2[/tex]

       [tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]

       49+225=[tex]c^2[/tex]

        275=[tex]c^2[/tex]

         [tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]

          16.55≈c

           Rounded to nearest tenth

              16.6

Answer:

Solution given:

radius [r]=3ft

height[h]=5ft

Volume of cone=⅓*πr²h

$ubstitute value

Volume of cone =⅓*3.14*3²*5=47.1ft²

Volume of cone is 47.1ft²

Answer:

option A is write answer

I hope you help

Answer:

none of these

Step-by-step explanation:

it's 96000 so none

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Answer:

a +73°=90°

a= 90°-73°

a =17°

d+18°=90°

d=90°-18°

d =72 °

Answer:

[tex]\tan x=21/20[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

For angle [tex]x[/tex], its opposite side is 21 feet and its adjacent side is 20 feet. Therefore, we have:

[tex]\boxed{\tan x=21/20}[/tex]

Answer:

e s r

Step-by-step explanation:

Answer:

[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]

Step-by-step explanation:

The value of m for the complex number to be purely real are 3 and -5.

The value of m for the complex number to be purely imaginary are -2 and 3.

For the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Given the complex number:

[tex]z=\frac{m^2-m-6}{m+3}+(m^2-2m-15)i[/tex]

a) For the complex number to be purely real, then the imaginary part of the complex number must be zero that is:

[tex](m^2-2m-15)i = 0\\m^2-2m-15=0[/tex]

Factorize

[tex]m^2+5m-3m-15=0\\m(m+5)-3(m+5)=0\\(m-3)(m+5)=0\\m-3=0 \ and \ m+5=0\\m=3 \ and \ m=-5[/tex]

Hence the value of m for the complex number to be purely real are 3 and -5.

b) For the complex number to be purely imaginary, then the real part of the complex number must be zero. Hence;

[tex]\frac{m^2-m-6}{m+3}=0 \\m^2-m-6=0[/tex]

Factorize

[tex]m^2-m-6\\m^2-3m+2m-6=0\\m(m-3)+2(m-3)=0\\(m+2)(m-3)=0\\m+2=0 \ and \ m-3=0\\m=-2 \ and \ m = 3[/tex]

Hence the value of m for the complex number to be purely imaginary are -2 and 3.

c) For the complex number to be in the second quadrant, then the ratio of y to x must be negative i.e less than zero as shown:

[tex]\frac{m^2-2m-15}{\frac{m^2-m-6}{m+3} } < 0\\ \frac{m^2-2m-15(m+3)}{{m^2-m-6} }\\ \frac{(m+3)(m-5)(m+3)}{{(m-3)(m+2)} } <0\\(m+3)(m-5)(m+3) <0\\m+3<0, m-5<0 \ and \ m+3<0\\m<-3 \ and \ m<5[/tex]

Hence for the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.

Answer:

C) 840

C) 87

D) 3000-150n

Step-by-step explanation:

Answer:

c

c

d

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The a value is from the center to the maximum

We want from minimum to max so we need 2 times the amplitude

a = 7

2 *7 = 14

The graph above or below should answer the question.

Answer:

f(p)=3p+4

Explanation:

Answer:

The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.

Step-by-step explanation:

Answer:

The line of reflection in [tex]y=mx+b[/tex] form is [tex]y=\frac{1}{3} x-2[/tex]

Step-by-step explanation:

Answer:  13.46 km/h

Step-by-step explanation:

7 1/2 hr= 450 min

6057/450= 13.46

Answer:

Square

Step-by-step explanation:

In a square,

All the four angles are equal. Each angle = 90.

All the four sides are equal.