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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?

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:

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

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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