Use the quadratic formula to solve the equation. 5x2-3x + 1 = 0 X=

MakcuM [25]

The answered the question is X=5

5 0

2 years ago

Identify the triangle PQR as isosceles (two sides of equal length), equilateral (three sides of equal length), or a scalene

Ipatiy [6.2K]

Answer:

Isosceles

Step-by-step explanation:

In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).

Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.

The distance formula is the following:

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

so now we can find the desired distances, let's start with the distance between P and Q:

$|PQ|=\sqrt{(-4-0)^{2}+(9-8)^{2}}$

which yields:

$|PQ|=\sqrt{17}$

next, let's find the distance between P and R:

$|PR|=\sqrt{(-4-(-3))^{2}+(9-5)^{2}}$

which yields:

$|PR|=\sqrt{17}$

and finally the distance between Q and R:

$|QR|=\sqrt{(0-(-3))^{2}+(8-5)^{2}}$

which yields:

$|QR|=3\sqrt{2}$

As you may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.

6 0

2 years ago

john made two candles in the shape of rectangular prisms. The first candle is 12cm high, 4 cm long, and 6 cm wide. The second ca

anzhelika [568]

Answer:

96 $cm^3$

Step-by-step explanation:

To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes

First Candle

Height=12cm
Length=4 cm
Width= 6 cm

Volume=Height X Length X Width

=12 X 4 X 6

=288 $cm^3$

Second Candle

The second candle is 4cm higher

Height=12+4=16cm
Length=4 cm
Width= 6 cm

Volume=Height X Length X Width

=16 X 4 X 6

=384 $cm^3$

Difference in Volume = 384-288 =96 $cm^3$

Therefore, 96 $cm^3$ of additional wax was used to make the second candle.

6 0

3 years ago

Match each set of conditions with the corresponding relationship between ∆abc and ∆xyz and the criterion (if any) that proves th

sveta [45]

Answer: After matching each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion that proves the relationship the matched pairs are as follows:

1 . AB = XY ,BC = YZ and ∠B ≅ ∠Y ⇒ ΔABC ≅ ΔXYZ by SAS criterion.

2 . AB = XY and ∠A ≅ ∠X and ∠B ≅ ∠Y⇒ ΔABC ≅ ΔXYZ by ASA criterion.

3 . ∠A=∠X,∠B=∠Y and ∠C=∠Z⇒ ΔABC and ΔXYZ are not necessarily congruent.[by AAA similarity criteria both triangles are similar but may not congruent ∵ every congruent triangles have equal sides and equal angles]

4 . AB = XY, BC = YZ and CA = ZX ⇒ ΔABC ≅ ΔXYZ by the SSS criterion.

4 0

3 years ago

Read 2 more answers

Please help, i will give 20 points

Black_prince [1.1K]

4. Overall, there are 45 students.

13 students achieved a mark over 65

$\frac{13}{45} *100$ = 29%

Therefore the answer is b. 29%

5. b is incorrect.

This is because retrievers account for 10% of the dogs, not 15%.

100%-(35% + 45% + 10%) = 10%

7 0

2 years ago