Write the equation of the line in slope-intercept form
that passes through the points f(5) = 3 and
f(4) = -3

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

[tex]3\sqrt{2}[/tex]/2

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

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

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

3π/2; 3π/4

Step-by-step explanation:

Answer:

1stday=Saturday

8th day=Saturday

8×32 =256days=Saturday

257days=Sunday

258days=monday

Answer:

235/3

Step-by-step explanation:

First, let's make a varible x. Let x be the "what number" part in the question.

Now, Let's convert the words into an equation.

We get:

60% * x = 47

Simplifing, we get:

0.6 * x = 47

0.6x = 47

x = 47 / 0.6

x = 47 / [tex]\frac{6}{10}[/tex]

x = 47 / [tex]\frac{3}{5}[/tex]

x = 47 * 5/3

x = 235/3

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

Learn more about Trigonometric functions:

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Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

To learn more about inequality equations click :

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Answer:

simplify or subtract? ill put the answer in the comments

Step-by-step explanation:

I simplified it this is what i got

−ct3−at2+4t3−2bt−2t2+6t+2

Answer:4

Step-by-step explanation:

It’s 4

Answer:

8*√100-4^2*5=

0

Step-by-step explanation:

Answer:

I believe it would equal .5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1 3/4 is equal to 7/4.

7/4 times 2/7;

you can cancell to get rid of the sevens so it is 1/4 times 2/1

you can also cancel the two and convert the 4 to a two; 1/2 times 1

so the answer is 1/2.

Hope this helps :).

Answer:

10

Step-by-step explanation:

Answer:

21 : 28 = 3 : 4

96 : 32 = 3 : 1

22 : 33 = 2 : 3

12 : 36 = 1 : 3

72 : 56 = 9 : 7

54 : 63 = 6 : 7

yes sure why do you want help dear

Answer:

15/70, first option

Step-by-step explanation:

if you multiply the numerators and denomenators together, you get 15/70. you're able to reduce this, but it looks like the answer doesn't want you to reduce it :)

=======================================================

Explanation:

We multiply the numbers across the top (numerator) to get 3*5 = 15

Then across the bottom (denominator), we multiply the values to get 10*7 = 70

So we get [tex]\frac{3}{10}\times\frac{5}{7} = \frac{3\times 5}{10\times7} = \frac{15}{70}[/tex]

That's how we end up with 15/70

------------------------------

Extra info:

Note how 15 and 70 have the GCF 5, so we can divide both values by 5

This means 15/70 reduces to 3/14; however, your teacher has decided not to reduce (since 3/14 is not one of the answers). So that means we should stick with 15/70 instead.

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

Learn more on tables and values here: https://brainly.com/question/12151322

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

9) - 17

11) - 5

13) 30

15) 16

10) - 20

12) - 1

14) 30

16) - 21

1) 16

3) 21

5) - 22

7) - 19

2) 11

4) 7

6) - 9

8) - 6

Step-by-step explanation:

Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

Given that:

= 9.5% × $50

= 0.095 × 50

= $4.75

The total amount paid for the tool is = $4.75 + $50 = $54.75

Learn more about tax rate charges here:

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Answer:

Step-by-step explanation:

b

Answer:

C

Step-by-step explanation:

A shows the range of numbers greater than 1, not including 1 (the circle on the number 1 is empty, meaning 1 isn't included - when it's filled in then 1 is included).

B shows the range of numbers less than 1, not including 1.

C shows the range of numbers less than and including 1.

D shows the range of numbers greater than and including 1.

'≤' means 'less than or equal to'

We're looking for the range of numbers less than and including 1: C

Answer:

Miles per gallon, or mpg

Step-by-step explanation:

Answer:

my class worked on this today im pretty sure its the first one!! good luck❤❤

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Answer:

≈0.669

Step-by-step explanation:

a=√(c^2-b^2)

a=√(65^2-56^2)

a=33, a is the final side

tan = O/A

tan = 33/56

tan ≈ 0.669

Answer:

1 2 3 ■■■■■■■■■■■■■■■○♤》●♤\♡○●

Answer:

i think its also 123

Step-by-step explanation:

i123