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iris [78.8K]
3 years ago
10

If the points (–2, –1), (–1, 0), (2, 3), and (–3, –2) are joined to form a straight line, at what point does the line intersect

the y-axis?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:

0

Step-by-step explanation:

Pick 2 points and use the slope formula

(–1, 0), (2, 3)

Slope =(y2−y1)/(x2−x1)

              (3−0)(2−−1)

                   3/3

                     1

y=1x

Hope this helps! Plz award Brainliest : )

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Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
mina [271]

Answer:

\underline{\boxed{x =  \frac{A_r}{AC}}}

Step-by-step explanation:

let \: the \: area \: be \to \: A_r \\  since \: the \: base =AC \\ then \: the \: height = AB \\ but \: AB = 2x \\ hence : the \: area \: A_r=  \frac{1}{2} AC(2x) \\ (2x)AC = 2A_r\\ x =  \frac{2(A_r)}{2(AC)}  \\  \boxed{x =  \frac{A_r}{AC}}

7 0
3 years ago
For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why
nlexa [21]

Answer:

5. B, C and E

6. C

7. None

8. A and D

9. F and G

Step-by-step explanation:

See attachment for complete question

5. B, C and E

B, C and E are not parallelogram because they do not have 2 pairs of parallel sides

B and E are trapeziums while C is just a quadrilateral.

6. C

In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.

7. None

A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.

8. A and D

A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.

9. F and G

These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.

6 0
3 years ago
I need help finding the value of x n y. thank you
rewona [7]

Step-by-step explanation:

Here with reference angle 45°

Hypotenuse ( h) = y

Perpendicular (p) = x

base (b) = 5√2

We know

tan 45° = p/b

1 = x / 5√2

Therefore x = 5√2

Now

h = √(5√2)^2 + 5√2)^2

= √ 50 +50

= √100

= 10

Hope it helped

4 0
3 years ago
One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?
Morgarella [4.7K]

Answer:

\dfrac{580}{9}

Step-by-step explanation:

\dfrac{1}{5}x + \dfrac{1}{4}x = 29

\dfrac{4}{20}x + \dfrac{5}{20}x = 29

\dfrac{9}{20}x = 29

x = 29 \times \dfrac{20}{9}

x = \dfrac{580}{9}

Answer: \dfrac{580}{9}

5 0
3 years ago
A triangle with sides of lengths 9, 22, and 24 is a right triangle
Leona [35]

Answer:

The statement is false

Step-by-step explanation:

we know that

if the triangle is a right triangle

then

the triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=24\ units

a=9\ units

b=22\ units

substitute

24^{2}=9^{2}+22^{2}

576=81+484

576 \neq 565

therefore

Is not a right triangle

The statement is false

4 0
3 years ago
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