All categories

3 years ago

1 Which system of linear equations represents the lines graphed below?

Mathematics

2 answers:

Tom [10]3 years ago

8 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

Both the lines are intersecting each other at point (-6, 4)

So, x = - 6 & y = 4

Let us plug x = - 6 in the equation $y =-\frac{1}{3} x + 2$

We find that:

$y =-\frac{1}{3} (-6) + 2$

$y =-(-2) + 2$

$y = 2 + 2$

$y = 4$

So, when x = - 6, the value of y is 4.

Since, second equation of option D is invisible, hence I can't provide any explanation for the same.

kaheart [24]3 years ago

7 0

Answer:

Step-by-step explanation:

I took the test and got it right

You might be interested in

What will be the new coordinates?

Dvinal [7]

just look it up on google

6 0

3 years ago

Factor b3 +b2 + b + 1.

olga nikolaevna [1]

Answer:

(b+1)(b²+1)

Step-by-step explanation:

8 0

3 years ago

Randi and her sister make balloon animals and sold them for $.50 each. They made $48.00. If rando made twice as many animals as

nydimaria [60]

Randy made 64 ballon animals and her sister made 32 ballon animals

Solution:

Let the number of ballon animals sold by Randi be "x"

Let the number of ballon animals sold by her sister be "y"

Cost of 1 ballon animal = $ 0.50

Rando made twice as many animals as her sister

Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister

x = 2y ---- eqn 1

Together, they earned $ 48

Therefore, we can frame a equation as:

Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48

$2y \times 0.50 + y \times 0.50 = 48$

$1y + 0.5y = 48\\\\1.5y = 48\\\\y = \frac{48}{1.5}\\\\y = 32$

Therefore, from eqn 1

x = 2y

x = 2(32)

x = 64

Thus Randy made 64 ballon animals and her sister made 32 ballon animals

6 0

3 years ago

Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees

drek231 [11]

Given:

In a right triangle at B,

$\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}$

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

$\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}$

Using the trigonometric ratio,

$\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}$

Using the angle sum property,

The angle B becomes,

$\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}$

Final answer:

The values are,

$\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}$

3 0

1 year ago

Aiden ran half as much on Tuesday than he did on Thursday how many miles did he run if Thursday was four thirds of a mile

MaRussiya [10]

Answer:

0.75 miles

Step-by-step explanation:

1. 4/3 is equal to 1.5 or 1.50

2. Divide 1.5 into a half.

1 whole is equal to 0.5 or 0.50

3. Divide the 0.50 in 1.50

0.50 divided by 2 is equal to 0.25

4. Add 0.50 + 0.25

0.50 + 0.25 = 0.75

___________________________________________________________

Hope this helped :)

4 0

3 years ago