what is the slope of the line that passes through the points (-3,1) and (7,14)​

Step-by-step explanation:

mondey balance 104.24$

Tuesday balancs -23.99$

value = 104.24+23.99=128.23$

top hole

x = 38 cos 60

y = 38 sin 60

bottom hole

x = 38 cos 30

y = 38 sin 30

The coordinate of holes is (43.3, 25) and (25, 43.3).

It is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.

Two 2 centimeter holes are drilled in the plate.

Two 2 centimeter holes are drilled in the plate, positioned.

Holes are at 50 cm from the center at an angle of 30 and 60 degrees.

So the coordinate will be given by

[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]

Then for the first hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]

For the second hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]

Thus the coordinate of holes is (43.3, 25) and (25, 43.3).

More about the circle link is given below.

https://brainly.com/question/11833983

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:

24% of (254.75 US$) =

61.14 US$

Step-by-step explanation:

Answer:

61.14$.

Step-by-step explanation:

24% = 0.24.

254.75 * 0.24

= 61.14$.

Answer:

y = (1/2)x - 2

Step-by-step explanation:

(0,-2)

(4,0)

2/4 x - 2

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

Answer:

-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

Answer:

The area is 49/12 or 4 1/12

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × base × height

a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)

a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)

a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)

You can convert it back to a mixed number:

49/12 = 4 1/12

Hope this helps!

Answer:

uyyyyy

Step-by-step explanation:

Answer:

70.4

Step-by-step explanation:

the aquare root of 40.96 is 6.4

so,64+6.4=70.4

Answer:

-6r^2 + 10

Step-by-step explanation:

2 × 3 + 4 - 6r^2

= 6 + 4 - 6r^2

= -6r^2 + 10

Answer:

- 6r² + 10

Step-by-step explanation:

```````````````````````````

2 × 3 + 4 - 6r²

→ 6 + 4 - 6r²

→ 10 - 6r²

→ - 6r² + 10

```````````````````````````

Answer:

£4.52

Step-by-step explanation:

£13.56/3

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

-7.763 will be the total to the answer.

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

Answer:

Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence

Thank me Later :D

Step-by-step explanation:

The inequality would be 8w≥-16

Answer:

8w ≥ -16

It's pretty simple.

Product means it has something to do with multiplication.

≥ This is the greater than or equal to sign.

Step-by-step explanation:

A=½h(a+b)

h(a+b)=2A

h=2A/(a+b).

hope this helps you.

Answer:

12

thStep-by-step explanation:

the answer is 160% because 1.6×100=160%

Answer:

Wait are u trying to find the area of a shape???

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

Answer:

C is the inequality

Hope it's help :D

Step-by-step explanation:

For question

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Answer:

SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D

The answer is 42 meters squared

Answer:

A) F=25°

B) AB=12

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Answer:

Step-by-step explanation:

Area formula:

The height is:

Substitute the value for area and set equation:

Note the second root ignored as negative

Answer:

x = 3.08  (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

 [tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

Answer:

m = -90 - 6d

Step-by-step explanation:

18 ÷ 3 = 6 { She needs to memorize six measures a day. }

m = 90 - 6d { She has memorized bd measures }