Solving equations to find angle measure

Show work please

Answer:

y = 8x - 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus

y = 8x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6) , then

6 = 32 + c ⇒ c = 6 - 32 = - 26

y = 8x - 26 ← equation of line

Answer: 2.83

Step-by-step explanation:

Use the distance formula

Answer:

96 and 192 calories

Step-by-step explanation:

Given

Divide both by 3/4 to find the unit rate:

Then multiply both by 2 to get the calories for 2 cups:

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

Answer:

0

Step-by-step explanation:

4x+ 2( 3 – 3x) = 6

4x+6-6x=6

6-2x=6

6-6=2x

0/2=x

x=0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]4x+2\left(3-3x\right)=6[/tex]

Expand:

[tex]4x+2\times3-2\times3x=6[/tex]

[tex]4x+6-6x=6[/tex]

[tex]-2x+6=6[/tex]

Subtract 6 from both sides:

[tex]-2x+6-6=6-6[/tex]

[tex]-2x=0[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]

[tex]x=0[/tex]

How much does it cost to buy 10 computer mice (not the living thing :) ) that are $24.75 each.

10(24.75)=247.5

It will cost $247.5

It would be $247.50

Step-by-step explanation:

24.75 x 10

Answer:

  an = 6 +8(n -1)

Step-by-step explanation:

Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference.

Here, the differences are ...

  14 -6 = 8

  22 -14 = 8

  30 -22 = 8

These are all the same, hence a "common" difference. The first term is 6, so the general term is ...

  an = 6 +8(n -1)

Answer:

4544

Step-by-step explanation:

1136 *4 = 4544

Answer:

Shalini = 12

Poonam = 60

Step-by-step explanation:

Let p = poonams age

Let s = shalini's age

p = 5s

p+s = 72

Substitute the first equation into the second equation

5s+s = 72

Combine like terms

6s= 72

Divide by 6

6s/6 = 72/6

s = 12

p = 5s =5*12 = 60

Shalini = 12

Poonam = 60

Answer:

The correct numbers are;

1) 0

2) 25

3) 1.25

4) 2.5

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Step-by-step explanation:

The given equation for the height of the ball, h(t), in feet, is given as follows

h(t) = 40·t - 16·t²

Therefore;

1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet

2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0

Therefore;

h'(t) = 40 - 2 × 16·t = 0

40 - 32·t = 0

t = 40/32 = 5/4 seconds = 1.25 seconds

3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;

h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet

4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;

h(t) = 0 = 40·t - 16·t²

40·t - 16·t² = 0

(40 - 16·t)·t = 0

Therefore;

t = 0 seconds or t = 40/16 = 2.5 seconds

(40 - 16·t) = 0/t = 0

t = 40/16 = 2.5 seconds

Therefore, the filling the blanks with the correct numbers gives;

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

[tex]\text{Hello!}[/tex]

=+=+=+=+=+=+=+=+=+=+=

[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]

[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]

[tex]\text{ Isolate for m:}[/tex]

[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]

[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]

[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]

[tex]5/4n - 7 = m[/tex]

[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]

[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]

Answer:

2.80×50

Step-by-step explanation:

2.80×50 step by step

Answer:

200 cc

Step-by-step explanation:

Volume of the prism = Area of base * height

= 40*5

= 200 cubic cm

Answer:

1/4n - 3

Step-by-step explanation:

1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.

The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Emily's number can be represented as:

n

One-fourth of Emily's number can be represented as:

1/4n

Subtracting 3 from one-fourth of Emily's number gives us:

1/4n - 3

Therefore, the expression that represents Emily's number is:

n = 1/4n - 3

This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ7

Answer:

Step-by-step explanation:

Put (-6,0) and (0,3) into a table of values

form of the equation: mx+b

x -6 0

y 0 3

3/-6=-0.5 (m)

3=b (the value of y when x=0)

equation: y=0.5x+3

Answer:

12m^2(a)

Step-by-step explanation:

Multiply 3m by 4m for a paralolegram.

(l*w)

Answer:

(-6,300)

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

(x,y)

then:

x = -6

y = 300

then:

(-6 , 300)

Answer:

There are no x-intercepts

Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.

Answer:

no x intercept

Step-by-step explanation:

The x intercept is the value where it crosses the x axis.

This functions does not cross the x axis

There is no x intercept

Answer:

SU= 14

Step-by-step explanation:

if QU= 24 and RU= 19 then you can subtract 24-19=5. and if QR=RS=ST then you subtract 19-5=14

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

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Answer:576cm

Step-by-step explanation:

Multiply length width

And height

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]

Step-by-step explanation:

Given,

Length of the rectangular prism ( l ) = 16 cm

Height of the rectangular prism ( h ) = 4 cm

Width of a rectangular prism ( w ) = 9 cm

Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm

[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]

[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]

[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x = [tex]\frac{2}{9}[/tex]

Thus

0.22..... = [tex]\frac{2}{9}[/tex]

Answer:

2/9

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x =

Thus

0.22..... =

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

Answer:

-2.5 is correct answer

Answer:

5x - y = -20

Hope this helps.

Answer:

2) Exact

3) Exact

4) Exact

5) Approximation

Step-by-step explanation:

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

Step-by-step explanation:

Hey there!

Here,

The equation is:

[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]

Comparing the equation with ax^2+bx+c=0. We get;

[tex]a = 7 \sqrt{3} [/tex]

[tex]b = 10[/tex]

[tex]c = \sqrt{3} [/tex]

Now,

Discriminant= ?

We have,

[tex]discriminant = {b}^{2} - 4ac[/tex]

Put all values.

[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]

[tex]discriminant = 100 - 4 \times7 \times 3[/tex]

[tex]discriminant = 100 - 84[/tex]

Therefore the discriminant = 16.

Hope it helps...