Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
​

m = (Y2 - Y1)/(X2 - X1)

m = (-2 - 1)/(4 - 7)

m = -3/-3

m = 1

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

Answer:

9 :)

Step-by-step explanation:its 9

Answer:

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

Answer:

0.73

Step-by-step explanation:

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Answer: u = -2

Step-by-step explanation:

-3(u+4)-2u=2(u+1)

-3u-12-2u=2u+2

-5u-12=2u+2

-7u = 14

u = -2

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

Answer:

y = -5 + 2

Step-by-step explanation:

    We can use change in y over change in x to find slope:

[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]

So, our slope (aka m) is -5.

    For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b

y = -5x + b

-8 = -5(2) + b

-8 = -10 + b

2 = b

    And there is our equation,

y = -5 + 2

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

Answer:

7.7 × [tex]10^{6}[/tex]

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × [tex]10^{6}[/tex]

f(2)= f(2-1)+3

f(2)=f(1)+3

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]

[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]

[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]

[tex]\sf \longmapsto \: 31\%[/tex]

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.

The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.

Answer:

Tje answe kdn 8

Step-by-step explanation:

T(2) = 3(2)³ - 2(2)² - 6(2) - 5

T(2) = 3(8) - 2(4) - 12 - 5

T(2) = 24 - 8 - 17

T(2) = 16 - 17

T(2) = -1 (B.)

Answer:

-15

Step-by-step explanation:

put f(-3)=-2*(-3)^2+3

Answer:

y = 6;  x = 12

Step-by-step explanation:

If the triangles are congruent , then their sides are corresponding.

AB ≅DE                                          DE≅ AC

7 = 2y - 5                                       3x - 13 = 11 + x

7 + 5 = 2y                                       3x - x -13 = 11

12 = 2y                                             2x - 13 = 11

6 = y                                                   2x = 11 + 13

                                                            2x = 24

                                                               x = 12

AB=DE

[tex]\\ \sf\longmapsto 2y-5=7[/tex]

[tex]\\ \sf\longmapsto 2y=12[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]

[tex]\\ \sf\longmapsto 2x=24[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Diagram attached

Answer: Option 2

Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.