15 times 25 is equal to

Find an equation of the line that satisfies the given conditions.

8090 [49]

Answer:

$x=8$

Step-by-step explanation:

Given:

The equation of the given line is $y=9$

A point on the unknown line is (8, 5).

The unknown line is perpendicular to the line $y=9$ .

A line of the form $y=a$ where 'a' is a constant is a line parallel to the x axis. The line has a constant value for 'y' irrespective of the value of 'x'. The slope of such lines are equal to 0. So, slope of the known line is 0.

Now, when two lines are perpendicular, the product of their slopes is -1.

Let the slope of the unknown line be 'm', then:

$m\times 0 =-1\\m=-\frac{-1}{0}=$ undefined.

Therefore, the slope of the unknown line is undefined. A line parallel to y axis has undefined slope. So, the equation of the unknown line is of the form:

$x=b$ where, 'b' is a constant and is equal to the abscissa (x value) of the line.

As per question, (8, 5) lies on this line. Therefore, the value of 'x' is 8.

So, the equation of the unknown line is $x=8$

8 0

4 years ago

Read 2 more answers

Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.

MakcuM [25]

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
-8 / -4
2

The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10

5 0

3 years ago

Can someone help me solve this step by step?

patriot [66]

Answer:

41 and 77

Step-by-step explanation:

x: his age the first time he went to space

y: his age the second time he went to space

the second time he went to space he was 5 years younger than twice the age when he went his first time, then:

y = 2x - 5

the sum of both ages is 118, then:

x + y = 118

If you replace y = 2x - 5 in x + y =118:

x + 2x - 5 = 118

3x = 123

x = 41

replacing x:

41 + y = 118

y = 118 - 41

y = 77

so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)

4 0

3 years ago

PLEASE HELP!!

viktelen [127]

Answer:

C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.

Step-by-step explanation:

Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.

Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.

Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.

Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.

4 0

2 years ago

Help me please please

Yuki888 [10]

Answer:

the answer would be B I believe

6 0

3 years ago