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2 years ago

Write an equation in slope-intercept form for a line that passes through the points (5,7), ( 6,8)

Mathematics

1 answer:

Aleksandr [31]2 years ago

5 0

Answer:

$y=x+2$

My work is in the picture.

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There are 442 boy students in class

poizon [28]

Answer:

520

Step-by-step explanation:

This problem is

boys + girls = total

Boys = 442

Girls = 15% of the total

Therefore, substituting in, gives us:

442 + .15t = t, where t is total

Then 442 = .85t and

t = 520

5 0

3 years ago

Blank divided by 6=0.2

mario62 [17]

Just do 6 x 0.2 to reverse the division
So the answer is 1.2

I think

4 0

2 years ago

The diameter of a circle is 34 millimeters. What is the circle's area?<br> Use 3.14 for .

icang [17]

Answer:

907.46 mm2

Step-by-step explanation:

Area of circle = (¶d^2)/4

d = 34 mm

Therefore

Area A = (3.14 x 34^2)/4

= 907.46 mm2

6 0

3 years ago

Convert y =(x+1)(x-9) to vertex form

IgorC [24]

Answer:

y = (x - 4)² - 25

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

y = (x + 1)(x - 9) ← expand factors using FOIL, thus

y = x² - 8x - 9

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

y = x² + 2(- 4)x + 16 - 16 - 9

= (x - 4)² - 25 ← in vertex form

5 0

3 years ago

Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part

katen-ka-za [31]

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

$(26)x = 1$

$(50)x = 1$

and:

$(2^6)^x = 1$

$(5^0)^x = 1$

Solving: $(26)x = 1$ and $(50)x = 1$

$(26)x = 1$

Divide both sides by 26

$x = \frac{1}{26}$

$(50)x = 1$

Divide both sides by 50

$x = \frac{1}{50}$

Solving $(2^6)^x = 1$ and $(5^0)^x = 1$

$(2^6)^x = 1$

Express 1 as 2^0

$(2^6)^x = 2^0$

Remove bracket

$2^{6x} = 2^0$

Cancel out 2

$6x = 0$

Divide both sides by 6

$x = \frac{0}{6}$

$x = 0$

$(5^0)^x = 1$

Express 1 as 5^0

$(5^0)^x = 5^0$

Cancel out 5^0

$x = 1$

8 0

2 years ago