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3 years ago

Solve. Thank you!!!9

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer:

1) (8,24)

2) (2,6); it represents how she walks 2 steps in 6 feet.

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Please help need this done by tomorrow thank you [PHOTO]

Ksenya-84 [330]

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

6 0

2 years ago

Read 2 more answers

Let w=width and 4 + w=

kozerog [31]

Answer:

Part 1 : $w^2+4w-60=0$

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

$60=w(w+4)$

$60=w^2+4w$

$w^2+4w-60=0$

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0 ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0

3 years ago

Alan and his classmates performed a linear regression analysis on the data set shown below and found that the line of best fit t

stealth61 [152]

Answer:

C. $y=\frac{4}{5}x+7$

Step-by-step explanation:

Alan and his classmates found that the line of best fit through the data had the equation $y=-\frac{5}{4}x+18$

The slope of this line is $m=-\frac{5}{4}$

If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.

The slopes of perpendicular lines are negative reciprocals of each other,

Hence that line must have slope $\frac{-1}{-\frac{5}{4}} =\frac{4}{5}$

Therefore we look for a line whose slope is $\frac{4}{5}$ from the given options.

That line is the third option $y=\frac{4}{5}x+7$

5 0

3 years ago

The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc

ohaa [14]

Answer:

62 inches

Step-by-step explanation:

Let x be the height ( in inches ) of Ivan,

∵ Marcia is 5 inches shorter than Ivan,

height of Marcia = x - 5,

Marcia is twice as tall as Sally-Jo,

height of sally-jo = $\frac{x-5}{2}$

Mom is 2 inches taller than Ivan.

⇒ height of mom = x + 2,

Mom is 3 inches shorter than Dad,

height of dad = x + 2 + 3 = x + 5,

So, mean height of family is,

$\frac{x+x-5+\frac{x-5}{2}+x+2+x+5}{5}$

$=\frac{2x+2x-10+x-5+2x+4+2x+10}{10}$

$=\frac{9x-1}{10}$

According to the question,

x + 5 = 74 ( 1 ft = 12 in )

x = 69

Hence, mean height of the family = $\frac{9\times 69-1}{10}$

$=\frac{620}{10}$

= 62 inches

6 0

3 years ago

Find the equation of the line through (0,4) perpendicular to the line y = 3x

Rufina [12.5K]

Answer:

$y = - \frac{1}{3} x + 4$

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= $- \frac{1}{3}$

subst. m= $- \frac{1}{3}$ into the equation:

$y = - \frac{1}{3} x + c$

To find the value of c, substitute a coordinate.

When x=0, y=4,

$4 = - \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4$

Thus the equation of the line is $y = -\frac{1}{3} x + 4$ .

3 0

3 years ago