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zubka84 [21]
3 years ago
5

Compare the numbers 90,847 69,948

Mathematics
1 answer:
Verdich [7]3 years ago
5 0
90,847 is greater than 69,948. So 90,847 > 69,948
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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1

The y-intercept of the line is 1.

3 0
3 years ago
What is the width of the rectangle?<br> 30y<br><br> 60y4
Bas_tet [7]

Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

7 0
2 years ago
What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is
-Dominant- [34]

Answer:

a) the point is on the line

b) the lines are the same line

Step-by-step explanation:

a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.

b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.

4 0
3 years ago
Simplify the expression please!<br><br> -5+i/2i
melamori03 [73]

Answer:-9/2 or -4.

5

Step-by-step explanation:

3 0
3 years ago
Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
alexandr402 [8]
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a = \sqrt{100 + 196 - 280 * cos54}
a = 11.46

5 0
4 years ago
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