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Bumek [7]
2 years ago
7

DETERMINE THE MISSING SIDE

Mathematics
1 answer:
MissTica2 years ago
8 0

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

841=400+x^2\\\\x^2=441\\\\x=21

notice that the 841 and the 400 don't go squared because they already squared!

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?
zimovet [89]
ANSWER

y - x = - 1

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

y = - x + 4

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

m= - \frac{1}{ - 1} = 1

The equation of the line can be found using:

y - y_1 = m(x - x_1)

We substitute the slope and point to obtain:

y - 3 = 1(x - 4)

We simplify to get:

y - 3 = x - 4

y - x = - 4 + 3

The required equation is

y - x = - 1
5 0
3 years ago
Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6
Ksenya-84 [330]
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

7 0
3 years ago
For a science project, James needs to fill a tennis ball with sand but he doesn't know how much he will need. He measured the di
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8 0
2 years ago
Jackie has 10 groups of pennies with 3 pennies in each group. Carlos has 5 groups of pennies with 100 pennies in each group. Who
Tcecarenko [31]
Answer=Carlos

If Jackie has 10 groups, with 3 in each groups, she has 30 total pennies.

10*3=30 pennies

If Carlos has 5 groups with 100 in each group, then Carlos has 500 pennies.

5*100=500 pennies

500 pennies is more than 30 pennies, so Carlos has more pennies
8 0
3 years ago
Read 2 more answers
charlene has eight more dollars than megan. together they have $86.00. write an equation that could be used to determine the amo
xz_007 [3.2K]
Megan has 40 dollars sense charlene has 8 more dollars and the both have 86
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3 years ago
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