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Butoxors [25]
3 years ago
14

Answer all three questions

Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

3 . al of this

4 . keeping in heat

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write the equation of a line in slope intercept form that is parallel to the line x+5y=10 and goes through the point (-5,6)
lilavasa [31]

Answer:

The equation would be y = -1/5x + 5

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.

x + 5y = 10

5y = -x + 10

y = -1/5x + 2

In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 6 = -1/5(x + 5)

y - 6 = -1/5x - 1

y = -1/5x + 5


4 0
3 years ago
Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

7 0
11 months ago
If the four lines are extended, which system would have only one solution?
Anettt [7]

Answer:

A. Line a and line b

Step-by-step explanation:

6 0
3 years ago
MATH.... TRIANGLE JKL HAS VERTICES...
7nadin3 [17]
<h3>Answer: Choice (d)</h3>

Explanation:

To reflect over the y axis, we apply this rule

(x,y) \to (-x,y)

which says to flip the sign of the x term but keep the y coordinate the same.

So that means something like J(-2,5) becomes J ' (2, 5). The other points are handled in the same fashion and that leads us to choice (d). Points on the y axis will stay where they are.

6 0
2 years ago
F
dimulka [17.4K]

Answer:

A. The length is 3

B. angel T

C. The perimeter is 20ft

Step-by-step explanation:

They are congruent so there side leghths are the same.

3 0
2 years ago
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