Find the gradient of the line segment between the points (1,2) and (3,-8)?

Answer:

14.3

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

9+196= 205 then find the square root of 205, approximate then use tenths.

Answer:

14.3

Step-by-step explanation:

Use the following equation:

a² + b² = c² , in which the variable c = hypotenuse, and a & b are the other legs.

It is given that the legs measure 3 and 14 respectively. Plug in the given numbers to the given leg variables:

a² + b² = c²

3² + 14² = c²

Simplify. First, solve the powers, and then combine like terms:

(3 * 3) + (14 * 14) = c²

9 + 196 = c²

c² = 205

Next, root both sides of the equation:

√c² = √205

c = √205 = 14.3178

c = 14.3 (Rounded to the nearest tenth).

14.3 is your answer.

~

Answer:

9 3/10

Step-by-step explanation:

5 4/5 = 5 8/10

3 1/2 = 3 5/10

3 5/10 + 5 8/10 = 9 3/10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]

Answer:

Step-by-step explanation:

this would be summer. because i took le test puddin -Love harley

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

According to given figure,

[tex]\qquad \sf  \dashrightarrow \:x + 68 = 174[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 174 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 106 \degree[/tex]

Answer: 12

Step-by-step explanation:  2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

b)

c)

d)

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)

The problem can be modelled to a linear equation.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

y = total cost of the rental

x = mile driven

Hence,

y = 0.25x + 15

Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:

learn more on linear equation here: https://brainly.com/question/1550434

Answer:

Step-by-step explanation:

There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.

Answer:

D.  296 square inches

Step-by-step explanation:

The surface area of a prism is the total area of all its faces.

A triangular prism has three rectangular faces and two triangular faces.

As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.

Formulae

From inspection of the diagram:

⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²

⇒ Area of a rectangle = 8 x 10 = 80 in²

Total surface area

Total surface area = 3 rectangle areas + 2 triangle areas

                              = (3 x 80) + (2 x 28)

                              = 296 in²

Answer:

296

Step-by-step explanation:

have a great day

Answer:

147/3=49

49 groups

Step-by-step explanation:

Answer: are congruent, rotation

Step-by-step explanation:

Answer:

6 will be the exponent

Step-by-step explanation:

1 million has 6 zeros

Answer:

As the question states, predict how many times. I don't get the "realistic" prediction part, but however,

he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.

Answer: (Decimal: x = 0.99746…)

Answer:

318

Step-by-step explanation:

find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle

Answer:

318 mi²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 1 triangle and 2 rectangles (see attachment).

Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22

                             = 1/2 x 19 x 22

                             = 209 mi²

Area of Rectangle 2 = 5 x (11 + 6)

                                  = 85 mi²

Area of Rectangle 3 = 4 x 6

                                  = 24 mi²

Total area = 209 + 85 + 24 = 318 mi²

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The general strategy for solving the equation in form of :

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]

is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.

so, correct choice is C. multiply both sides by a

Best way is multiply with a

By which x gets isolated

Let's check how?

The equivalent expression of 3 to the power of 4. is 9 to the power of 2.

The expression is given as:

3 to the power of 4.

Mathematically the expression is

[tex]3^4[/tex]

Express 4 as 2 * 2

[tex]3^{2*2}[/tex]

Evaluate 3^2

[tex]9^2[/tex]

This means that:

9 to the power of 2.

Hence, the equivalent expression of 3 to the power of 4. is 9 to the power of 2.

Read more about equivalent expression at:

https://brainly.com/question/2972832

#SPJ2

Answer:

I think 50 yrs old

Step-by-step explanation:

I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%

g(x)=4x+4

[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634

Answer:

B

Step-by-step explanation:

center (1/2,-5/2)

radius=1/2

Answer:

1

Step by step explanation:

[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]

Answer:

g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\

[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]

Answer:

y=2x+1

Step-by-step explanation:

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

Answer:

its logx=logy

Answer:

its logx=logy

I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

The correct location is between the two and three for the first digit and the three and six for the second number.

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Answer:

8 inches

Step-by-step explanation:

Nacho cheese

v= Pi×radius×2×height

v = 3.14×8×2×4 = 200.96

jalapeño

3.14×4×2=25.12

200.96÷25.12=8

the height is 8

to check your work you can do

(multiply by 8 and see if it equals 200.96)

3.14×4×2×8 = 200.96

since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct