Use ratio language to describe the relationship between 2 dogs and 1 cat

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

$\implies y=mx+b$

$\implies -3=m(4)-2$

$\implies -1=4m$

$\implies m=-\dfrac{1}{4}$

Therefore, the equation of the line is:

$y=-\dfrac{1}{4}x-2$

7 0

11 months ago

In the figure, b and c are parallel lines. Which of the following statements are true?

Helen [10]

Answer:

1. No, Joe is not correct

2. $\angle 5=72^{\circ}$

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. $\angle 5$

Solution:

1.

Sum of two angles that form a linear pair is equal to $180^{\circ}$

$\angle 3+72^{\circ}=180^{\circ}$ (linear pair)

$\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}$

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

$\angle 5=72^{\circ}$ (alternate interior angles)

4 0

3 years ago

Need help on this please! (Will mark brainliest)

natima [27]

I’m not 100% sure but it might be 6x6 u should download mayhway .. it’s a good app

6 0

3 years ago

A ------------ is one of one hundred equal parts of a whole. ( decimal , decimal point, hundred , hundredth)

oee [108]

Decimal point is the right answer

5 0

3 years ago

Read 2 more answers

Here are the costs of the sametypes is shops shop a pack 4 batteries £1.60

dalvyx [7]

Answer:

Cost in shop A is lesser.

Step-by-step explanation:

Given:

Shop A 4 batteries cost = £1.60

Shop B 6 batteries cost = £2.70

Find:

Lower price

Computation:

Cost in shop A = £1.60 / 4

Cost in shop A = £0.4

Cost in shop B = £2.70 / 6

Cost in shop B = £0.45

Cost in shop A is lesser.

5 0

2 years ago