1. What is the value of x? х 6 00 A. 64 B. 10 C. 100 D. 36

Write an equation of the line that passes through the given points.

Ratling [72]

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1$

$\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft$

4 0

3 years ago

The depth of a lake is 15.8m

Leya [2.2K]

a. Jada got the measurement 16m.

b. The measured depth differ 0.2m from the actual depth.

c. There is a 12.66% error in calculation.

Step-by-step explanation:

Given,

The depth of lake = 15.8 m

a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get

When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.

Therefore,

15.8 rounded to nearest number is 16.

The depth of lake measured by Jada = 16 m

Jada got the measurement 16m.

b. By how many meters does the measured depth differ from the actual depth?

Difference = Approx - Exact

Difference = 16 - 15.8 = 0.2m

The measured depth differ 0.2m from the actual depth.

c. Express the measurement error ad a percentage of the actual depth.

Percent error = $\frac{|approx-exact|}{exact}*100$

Percent error = $\frac{|2|}{15.8}*100 = \frac{200}{15.8}$

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

Learn more about percent at:

#LearnwithBrainly

4 0

3 years ago

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system? 6x + 8y = 16 –3x – 4y = –6 6x – 3y = 2 –

pogonyaev

The right answer is C)

Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:

A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)

B) Inconsistent. No solutions. (See Figure 2)

C) Consistent and Independent. (See Figure 3)

D) Consistent and dependent.

7 0

3 years ago

Read 2 more answers

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$