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2 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

Mathematics

1 answer:

Alinara [238K]2 years ago

8 0

Answer:

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Step-by-step explanation:

The answer is the first one because the slope is technically $\frac{2}{1}$

Up 2 over 1

Since the slope is positive, the graph goes to the right.

(0, -6) is the y intercept because it intersects the y - axis.

Then you draw those two points and connect them.

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Which of the following explains how ΔAEI could be proven similar to ΔDEH using the AA similarity postulate?

umka2103 [35]

Answer:

∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.

Step-by-step explanation:

tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!

4 0

2 years ago

A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875

Mama L [17]

Answer:

$238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

(360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

(77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

$236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0

2 years ago

Elisse has 20 meters of ribbon how many 15 cm of ribbon can be cut from it

ASHA 777 [7]

Answer:

133 pieces of 15cm can be cut from the ribbon.

Step-by-Step Explanation:

Length of ribbon = 20 meters

Length needed to be cut = 15 cm

We will convert meters into centimeters.

1 meter = 100 cm

20 meters = 2000 cm

Number of pieces = $\frac{2000}{15}$

Number of pieces = 133.33

Rounding off to nearest whole number = 133

Hence,

133 pieces of 15cm can be cut from the ribbon.

8 0

2 years ago

PLZZ IN NEED HELP!

boyakko [2]

Answer:

$18\pi\ cm^2$

Step-by-step explanation:

step 1

Find the area of complete circle

The area of the circle is given by the formula

$A=\pi r^{2}$

we have

$r=9\ cm$

substitute

$A=\pi (9)^{2}$

$A=81\pi\ cm^2$

step 2

Find the area of the shaded region

we know that

The area of complete circle subtends a central angle of 360 degrees

using proportion

Find out the area of the shaded region if the central angle is equal to 80 degrees

$\frac{81\pi}{360^o}=\frac{x}{80^o}\\\\x=81\pi(80)/360\\\\x= 18\pi\ cm^2$

6 0

2 years ago

the means of a proportion are 21 and 33. List all possible pairs of positive integers that could be the extremes of the true pro

prisoha [69]

X/21 = y/33

xy = 21·33 = 693

The factors of 693 are 1,3,7,9,11,21,33,63,77,99,231,693.

(x,y) = (1,693), (693,1), (3,231), (231,3), (7,99), (99,7), (9,77), (77,9), (11,63), (63,11), (21,33), (33,21)

7 0

2 years ago