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Dahasolnce [82]
3 years ago
5

Find the distance between the points (1, 3) and (-7, 2). V65 V37 V17

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

\sqrt{65}

Step-by-step explanation:

distance between 2 points:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\ \\d=\sqrt{(-7-1)^{2}+(2-1)^{2}}\\\\d=\sqrt{(-8)^{2}+(1)^{2}}\\\\d=\sqrt{65}

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Find the y intercept of (-2,5) and (3,25)
Alex777 [14]

Answer:

The y-intercept is (0, 13).

Step-by-step explanation:

First finf the equation of the line:

The slope = (25- 5) / (3 - -2)

= 20/5

= 4

So its equation is

y - 5  = 4(x  + 2)

y = 4x + 13

The y-intercept occurs when x = 0

so y-intercept = 4(0) + 13.

It's (0, 13).

7 0
3 years ago
Graph the image of the given triangle under a dilation with a scale factor of 1/4 and center of dilation ​(0, 0)
schepotkina [342]

Answer:

The image in the attached figure

Step-by-step explanation:

we know that

The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor

In this problem the scale factor is 1/4

The height of the pre-image is 4 units

The base of the pre-image is 8 units

Find out the dimensions of the image

The height of the image is (4)\frac{1}{4}=1\ unit

The base of the image is (8)\frac{1}{4}=2\ units

The image in the attached figure

6 0
3 years ago
Ice cream store marks up price by 16% how much of original price was 1.25
kirill115 [55]

Answer:

0.128

Step-by-step explanation:

7 0
3 years ago
Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.
ludmilkaskok [199]

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}

Step-by-step explanation:

2x-5\le \:-x+12

2x\le \:-x+17\\

2x+x\le \:-x+17+x

3x\le \:17

\frac{3x}{3}\le \frac{17}{3}

x\le \frac{17}{3}

6 0
3 years ago
I need help please???
zimovet [89]

Answer:

(-7 and 3) (-5 and 1) (-3 and -1)

Step-by-step explanation:

If you add all of them you get -4.

4 0
3 years ago
Read 2 more answers
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