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Ahat [919]
3 years ago
10

Point C has the coordinates (-1,4) and point D has the coordinates (2,0). What is the distance between points C and D? Is ____ u

nits

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer: 5 units

Step-by-step explanation:

Distance = \sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2\\

= \sqrt{(2_ }- (-1)_{ })^2 + (0_{ }- 4_{ })^2

= \sqrt{(2_{ }+ 1_{ })^2 + (-4)^2_

= \sqrt{3^2+(-4)^2}

= \sqrt{9+16}

= \sqrt{25}

= 5 units

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How much warmer is it when the temperature is 17 degrees farenheit then when it is negative 11 degrees​
kap26 [50]

Answer:

6

Step-by-step explanation:

17 - 11 = 6

<hope i helped>

7 0
3 years ago
An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 squa
charle [14.2K]
Q1.the given scale factor is 1:16
the area is 7 square feet
when calculating the area the scale factor is squared as well. 
since the scale factor is 16, to find out area the scale should be squared that is,
16*16 = 256

then the new area is 7 square feet * 256 
actual area = 256 * 7 = 1792 square feet 
Q2. the rectangle with length 6 inches and width 3 inches. 
the perimeter of the rectangle before changing dimensions are;
=(6*2) + (3*2) 
= 12 + 6 = 18 inches
after multiplying the dimensions by 8,
new length = 6*8 = 48 inches
new width = 3*8 = 24 inches 
new perimeter = (48*2) + (24*2)
                        = 96 + 48 
                        = 144 inches
the perimeter ratio from new to old = 144:18
the perimeter has increased by (144/18) times
= 144/18 = 8
answer is perimeter increased by a factor of 8

q3) 
area of the triangle 
= 1/2 * height * base
= 1/2 * (5-2) *(4-(-3))
= 1/2 * 3 * 7
= 10.5 units²
area of semicircle 
=pi*r2
r = 2-(-1.5)
 = 3.5
area = 3.14 * (3.5)²
        = 38.465 units²
total area = area of triangle + area of semicircle 
               = 10.5 + 38.465
              = 48.965
round it off to the closest tenth
              area = 49 units²
7 0
3 years ago
Where do i graph?<br> please send picture of your own for me to copy
melomori [17]

Answer:

Step-by-step explanation:

Compound inequality has been given as,

12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6

By simplifying it further,

12(2x - 10) + 24 ≥ 48

\frac{12(2x - 10)}{12}+\frac{24}{12}\geq \frac{48}{12}

(2x - 10) + 2 ≥ 4

(2x - 10) + 2 - 2 ≥ 4 - 2

2x - 10 ≥ 2

2x - 10 + 10 ≥ 2 + 10

2x ≥ 12

\frac{2x}{2}\geq \frac{12}{2}

x ≥ 6

6x + 15 - 9x ≥ 6

(6x - 9x) + 15 ≥ 6

(-3x) + 15 ≥ 6

-3x + 15 - 15 ≥ 6 - 15

-3x ≥ -9

3x ≤ 9

x ≤ 3

We have to plot the inequality on a number line

x ≥ 6 Or x ≤ 3

7 0
2 years ago
Find the experimental probability of rolling a 4
11Alexandr11 [23.1K]
<span />the probability of rolling a 4 = 5 times.
8 0
3 years ago
1/2 +b=1 3/4 <br><br> What does b represent and how to solve it?
LenKa [72]

Answer:

b= 5/4 or 1 1/4

Step-by-step explanation:

First I will make 1 3/4 into an improper fraction

1/2 + b = 7/4

Then I will make the fractions have common denominators

2/4 + b = 7/4

I subtract 2/4 from 7/4

b= 5/4

5 0
3 years ago
Read 2 more answers
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