Can anyone help me on this ;-;

Answers

Answer 1

Answer:

B, C, A are collinear because they lie on the same line.

D, C, A are not collinear because they do not lie on the same line

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which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?

Answers

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, 2)

Slope m = 1/2

Step 2: Find

Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
Simplify: y - 2 = 1/2(x + 6)

Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The scale of the copy is 1 in :40 cm. Find the dimensions of the original painting

Answers

We just multiply the scale to the dimensions
2 in to original is: 2×40= 80 cm
or do proportions:
$(2)/(x)$ = $(1)/(40)$
= $(2*40)/(1)$ =x
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
$(1.5)/(y)$ = $(1)/(40)$
$(1.5*40)/(1)$ =y
60 cm=y
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION

What is the slope of the line that passes through (8,4) and (6,7)?

Answers

$slope=(y_2-y_1)/(x_2-x_1)\n\n (x_1,y_1)=(8,4)\n (x_2,y_2)=(6,7)\n\n slope=(7-4)/(6-8)=(3)/(-2)=-(3)/(2)\n\nSlope\ is\ equal\ to\ -(3)/(2).$

Consider the figure shown. Classify each of the following statements as always true, sometimes true, or never true.m<1+m<4=180
m<1+m<2+m<3=180
m<2+ m<4=180
<2=<3
<2=<4
m<3=m<4

Answers

Answer:

Step-by-step explanation:

Let's analyze each statement and classify them as always true, sometimes true, or never true based on the figure provided:

1. m<1+m<4=180:

This statement is always true. In the figure, angles 1 and 4 are vertical angles, which means they are congruent. Therefore, m<1 = m<4, and their sum is always equal to 180 degrees.

2. m<1+m<2+m<3=180:

This statement is never true. In the figure, angles 1, 2, and 3 do not form a straight line. Therefore, the sum of m<1, m<2, and m<3 cannot be equal to 180 degrees.

3. m<2+ m<4=180:

This statement is sometimes true. In the figure, angles 2 and 4 are adjacent angles, and their sum can be equal to 180 degrees if they form a straight line. However, if angles 2 and 4 do not form a straight line, their sum will be less than 180 degrees.

4. <2=<3:

This statement is never true. In the figure, angles 2 and 3 are not congruent. Therefore, <2 is not equal to <3.

5. <2=<4:

This statement is sometimes true. In the figure, angles 2 and 4 can be congruent if they are vertical angles. However, if they are not vertical angles, they will not be congruent.

6. m<3=m<4:

This statement is always true. In the figure, angles 3 and 4 are vertical angles, which means they are congruent. Therefore, m<3 = m<4.

To summarize:

- Statement 1 is always true.

- Statement 2 is never true.

- Statement 3 is sometimes true.

- Statement 4 is never true.

- Statement 5 is sometimes true.

- Statement 6 is always true.

(83.9x10^12)(2.87x10^-3)/ 3.76x10^2

Answers

(83.9 × 10^12)(2.87 × 10^-³)
   3.76 × 10²
(83,900,000,000,000)(0.00287)
   376
240,793,000,000
   376
640,406,914.9

Sheila has 10 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds. How many containers does she need? Complete the explanation.