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3 years ago

Which is the correct statement ?

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

A is correct < C and < C" are congruent after both the translation and the dilation.

Step-by-step explanation:

The shape of the triangle remains the same after the translation and the dilation. After the dilation the new triangle is bigger by a factor 2 but the shape ( and therefore the angles are equal. The 2 triangles are similar,

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Adjust the equation so the line passes through the points. Y=x+1

lapo4ka [179]

Answer:

Slope=

2.000

=1.000

x−intercept=

−1

=−1.00000

y−intercept=

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(x+1)=0

STEP

Equation of a Straight Line

1.1 Solve y-x-1 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-1 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

y-intercept = 1/1 = 1.00000

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

x-intercept = 1/-1 = -1.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.000/2.000 = 1.000

Geometric figure: Straight Line

1. Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3. y-intercept = 1/1 = 1.00000

3 0

3 years ago

Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa

-Dominant- [34]

Answer:

- The diagram bar is attached.

- Addition equation: $7+7+7=21$

- Multiplication equation: $(3)(7)=21$

- How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of beads Jan buys. This is:

$7+7+7=21$

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

$(3)(7)=21$

The equations are related. Each one shows 3 groups of 7.

6 0

2 years ago

Mean median mode range of 13,11,8,8,12,8

igomit [66]

I think the median is 8 or 11

7 0

3 years ago

Read 2 more answers

ILL GIVE BRAINLIEST IF CORRECT!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?

mina [271]

Answer:

35/3

Step-by-step explanation:

$\frac{x+6 + 6x+2+x+6}{3} =4x-7$

Simplify to get

9x+14=3(4x-7)

35=3x

x=35/3 or 11.66

6 0

3 years ago

The distribution of the test statistic for analysis of variance is the F-distribution. true or false

lubasha [3.4K]

Answer:

True. See explanation below

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $k$ groups and on each group from $j=1,\dots,k$ we have $k$ individuals on each group we can define the following formulas of variation: