Which is better, Radiologist technologist or Financial manager? I can't decide ah!​

Answer:

The equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Step-by-step explanation:

Let m₁ and m₂ be the slope of line AD and BC respectively.

Now, AD⊥BC

​∴ m₁ × m₂ = -1

be the slope of line AD and BC respectively.

⇒ m₁ = -1/m₂    → (A)

Finding the slope of BC using points

B(2, 2)

C(6, - 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]m_{2} =\frac{-2-2}{6-2}[/tex]

[tex]m_{2} =-1[/tex]

On substituting the value of m₂ in equation (A)

m₁ = -1/m₂

    = -1/(-1)

    = 1

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be

[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]

[tex]y-1=x+2[/tex]

[tex]y=x+3[/tex]

Therefore, the equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Answer:

C. 4

Step-by-step explanation:

The formula of slopes is: y2 - y1/x2 - x1

m = y2 - y1/x2 - x1

m = 15 - 7/5 - 3

m = 8/2

m = 4/1

m = 4

The slope of the line through the points (3,7) and (5,15) is  4 .

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Δy =  change in y coordinate  = y2 - y1

Δx = change in x coordinate = x2 - x1

m = Δy/Δx

where,

m is the slope  

According to the question

Points (3,7) and (5,15)

therefore,

(x1,y1) =  (3,7)

(x2,y2) =  (5,15)

Now ,

The slope of the line  

Using slope formula

m = Δy/Δx

Δy = y2 - y1  

Δy = 15 - 7

Δy = 8

Δx =  = x2 - x1

Δx = 5 - 3  

Δx = 2

Therefore,

m = [tex]\frac{8}{2}[/tex]

m = 4

Hence, the slope of the line through the points (3,7) and (5,15) is  4 .

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Answer:

Step-by-step explanation:

1).

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

I believe the answer is 22!

Answer:

The answer is 22

Step-by-step explanation:

40-2(3^2)

= 40 - (2)(9)

= 40 - 18

= 22

Hope this helps

Answer:

-20x^2+8x

Step-by-step explanation:

That is -20x squared by the way

You’re welcome :)

Answer:

I don't really understand it very well

It will take 10 people working 10 hours per day about 2.5 days to make 10 units of the product.

From the statement of the question; 15 people working 5 hours per day can make 30 units of a product in 10 days. Hence, the number of units that can be made in a day is;

Number of units per day = (15*5*10)/30

= 25 units/day

Now; if 10 people make 10 units, working 10 hours per day, it will take them x number of days.

x =  (25*10)/10*10

x = 2.5 days

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Answer:

Since the ratios are not equal the triangles are not similar

Step-by-step explanation:

Triangle Similarity

For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.

Triangle BAK has side lengths: BA=60, AK=38, and KB=36

Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.

Calculating the ratios of the corresponding side lengths:

BA/JO=60/50=1.2

AK/OL=38/28=1.36

KB/LJ=36/26=1.38

Since the ratios are not equal the triangles are not similar

Answer:

50

Step-by-step explanation:

2(Mr stack's speed) = Coach Pugh's speed - 5mph

Mr stack's speed = (105mph - 5mph)/2

Mr stack's speed = 100mph/2

Mr stack's speed = 50mph

Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

Please give me Brainlest!

Answer:

Step-by-step explanation:

(4x^2-15x+9) ÷ (x-3)

4x-3

Answer:

1. False

2. True

3. False

4. True

5. True

Answer:

Step-by-step explanation:

1. Fasle

2. True

3. False

Answer:

10700 to the 7 power ould be your answer

Step-by-step explanation:

10700

Answer:

where is the diagram dude

i think u wolud be having a digram of it

Answer:

Ste-by-step explanation:

That doesn’t answer it stupid

Answer:

Step-by-step explanation:

I cant see the third but I know the first and second are the same

The bar graph and the line graph display the same data.

A bar graph is a type of chart that displays data as a series of bars or columns, with each bar representing a category or group and the height or length of the bar corresponding to the value or frequency of the data.

We have,

We see that,

Bar graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Line graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Now,

This means that the bar graph and the line graph are the same.

Thus,

The bar graph and the line graph display the same data.

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Answer:

5x +20

Step-by-step explanation:

Answer:

The inner surface area is: 1923.25 cm²

Step-by-step explanation:

A hemispherical bowl is made of brass has an inner diameter of 35 cm.

i.e. d = 35 cm

As the radius is basically half of the diameter.

r = d/2

  = 35/2

   = 17.5 cm

The inner surface area of a hemispherical bowl = 2πr²

= 2(3.14)(17.5)²

=1923.25 cm²

Therefore, the inner surface area is: 1923.25 cm²

Answer:

Step-by-step explanation:

ABC have sides: 5, 7 and 10

5^2 + 7^2 = 25+47 = 72 < 10^2

so triangle ABC is obtuse

JKL has sides: 12, 35 and 37

12^2 + 35^2 = 144 + 1225 = 1369 = 37^2

so triangle JKL is right-angled

PQR has sides 12, 10 and 16

12^2 + 10^2 = 144 + 100 = 244 > 16^2

so triangle PQR is acute

Answer:

Step-by-step explanation:

missing the Q: it asks 2 classify the triangles.

so the ans:

ABC - obtuse

JKL - right-angled

PQR - acute

Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

Answer

Its the 3rd option

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

to figure that out you have to do y^2 - y^1/ x^2 - x^1

2-(-1)/ -3 - 2

= 3/-5

=-3/5

Answer:

8300

Step-by-step explanation:

i believe it is 8300 but if im wrong let me know

Answer:

600 people

Step-by-step explanation:

It’s under by 4 so it would be under by 40,400,4000 ect

Answer: 600 people

Step-by-step explanation: If 6 people out of 10 people bought something then just multiply both numbers by 100, as there are 2 more 0's in 1000 than 10, hope this helps :)

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15

x to y can be expressed as a fraction this way: x/y.

Let x = 12

Let y = 18

12/18

We can now reduce to lowest terms.

Dividing 12 and 18 by 6, we get 2/3 as the final answer.

The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:

12 ÷ 6 = 2

18 ÷ 6 = 3

Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

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Answer:

m <4=   57 degrees

m<5=   123 degrees

m<6=   35 degrees

I hope this helps and good luck!

Answer:

m∠4 = 57°

m∠5 = 123°

m∠6 = 35°

Step-by-step explanation:

m∠4 ≅ ∠57°

Therefore m∠4 = 57°

Following this rule of thumb

m∠6 ≅ 35°

m∠6 = 35°

m∠5 = 180 - 57

m∠5 = 123

Its hard to explain given the fact that I cant quite point to each angle

Hope this helps