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3 years ago

Suppose that g(x) = f(x - 2) +7. Which statement best compares the graph of

Mathematics

1 answer:

sweet [91]3 years ago

6 0

Answer:

Step-by-step explanation:

changing the number in the f(x) will shift right and left ( + for left and - for right ) and changing out f(x) will shift up and down ( + for up and - for down)

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Find the equation of this line<br><br> y = [?]x + [ ] <br> Please help

larisa [96]

<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>Answer:</h3>

$y = [ -2 ] x + [ 1 ]\\$

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>

We must first find the slope.

<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>

<em><u>brainly.com/question/24640665</u></em>
<em><u>brainly.com/question/24638053</u></em>

We can see the marked points, $(0,1)$ and $(4, -7)$ , are on the line.

Solving for the slope:

$m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2$

Now we can now solve for the $y$ -intercept.

<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>

We can see that the line intersected the $y$ -axis at $(0,1)$ so $b = 1$ .

5 0

3 years ago

The population of Bridgetown triples every decade. If the population

Afina-wow [57]

Between 2000 and 2030 three decades will have gone by, which means the population will triple three times.

$2000-25,000 \\ 2010-25,000*3=75,000 \\ 2020-75,000*3=225,000 \\ 2030-225,000*3=675,000$

Therefore, the population of Bridgetown will be 675,000 people in 2030.

4 0

3 years ago

WILL GIVE BRAINLIEST, 100 points -- can you help me answer these questions for Algebra?

viva [34]

Answer:

The 2 numbers are 158 & 199

Step-by-step explanation:

Let 1st no. = x

2nd no. = y

x + y = 357 -----(1)

x - y = 41 ------(2)

(1)-(2)

2y = 316

y = 158

suby=158into(1)

x + 158 = 357

x = 199

4 0

4 years ago

If quadrilateral PQRS is a rectangle, then which of the following is true?

brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A. ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴ m∠PSQ ≠ m∠QSR

∴ ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

8 0

4 years ago

Read 2 more answers

A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is ____

strojnjashka [21]

Answer:

y=-2x+3

Step-by-step explanation:

equation for slope is y=mx+b

the slope is -2 so that equals m

(0,3) is the y-intercept

y=b

3 is the y value making it substitute b making the equation y=-2x+3

7 0

4 years ago