All categories

2 years ago

Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)

Mathematics

1 answer:

eduard2 years ago

7 0

Step-by-step explanation:

we start first by finding the gradient of the line

change in y/change in x

7-(-1)/3-7=8/-4

=-2

then for perpendicular lines m1m2=-1

therefore to find the gradient of that line

-2m2=-1

therefore m2=2

so therefore

y-5/x-3=2

so y-5=2x-6

y-2x=-1

in the form y= mx +c

then y=2x-1

You might be interested in

Do you need to regroup 56+3 when adding to a two digit number

artcher [175]

You don't need to regroup when adding a two-digit number with a number.

3 0

3 years ago

I need help ASAP how do I do this

kicyunya [14]

96. (Text that is longer than 20 characters goes here)

4 0

2 years ago

Write an equation in slope-intercept form of the line that passes through (-5,19) and (5,13)

I am Lyosha [343]

The slope intercept form is y=11+2/5x

6 0

2 years ago

If x=-2 solve 4x^3-6x^2+x-1

Bumek [7]

Answer:

-59

Step-by-step explanation:

x = -2

4(-2)³ - 6(-2)² + (-2) - 1

= -32 - 24 - 2 - 1

= - 59

8 0

1 year ago

Read 2 more answers

Jake’s measures the height of a tree to be 74 3/8

goblinko [34]

I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.

The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.

$74\frac{3}{8} + 2\frac{3}{4}$

Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:

$74\frac{3}{8} + 2\frac{6}{8}$

We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction ( $\frac{3}{8} + \frac{6}{8}$ ).

74 + 2 = 76

$\frac{3}{8} + \frac{6}{8} = \frac{9}{8}$

Putting these two together, we get $76 \frac{9}{8}$ , which is equal to $77\frac{1}{8}$ .

We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:

77 x 8 = 616

616 + 1 = 617

The denominator stays the same, so our answer as an improper fraction would be $\frac{617}{8}$ .

So the tree is $77\frac{1}{8}$ inches tall, or $\frac{617}{8}$ inches tall.

7 0

2 years ago