All categories

3 years ago

If anyone could help me with this I'd be really grateful.

Mathematics

1 answer:

Lostsunrise [7]3 years ago

8 0

Answer:

d = 9

Step-by-step explanation:

Calculate the slope m of line AB and equate the result to 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = $\frac{21-6}{d-4}$ = $\frac{15}{d-4}$ = 3 ( multiply both sides by d - 4 )

15 = 3(d - 4), that is

15 = 3d - 12 ( add 12 to both sides )

27 = 3d ( divide both sides by 3 )

9 = d

You might be interested in

The function f(t)=−16t2+88t+12 represents the height (in feet) of a pumpkin t seconds after it is launched from a catapult. when

givi [52]

Answer:

2.75 seconds and 133 feet

Step-by-step explanation:

We require to find the coordinates of the vertex of the parabola

the t coordinate ( time ) for a quadratic in standard form is

$t_{vertex}$ = - $\frac{b}{2a}$

with a = - 16 and b = 88

t = - $\frac{88}{-32}$ = 2.75 seconds ← time taken to reach max

to find the max height evaluate f(2.75 )

f(2.75 ) = - 16( 2.75)² + 88(2.75) + 12 = - 121 + 242 + 12 = 133 feet

3 0

3 years ago

Stefan sells Jin a bicycle for $163 and a helmet for $17. The total cost for Jin is 150% of what Stefan spent originally to buy

cluponka [151]

Answer:

44$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following is not true?<br> O √16 +4√4+5<br> О 3п > 9<br> O √27+3 ><br> O 5-√24 1

GalinKa [24]

Answer:

Hello there! I believe b or d

6 0

3 years ago

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

I need help plz plz hlep

Rudik [331]

it looks like its constant but I could be wrong

8 0

3 years ago