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Lemur [1.5K]
2 years ago
10

What is the slope of the line?

Mathematics
1 answer:
8090 [49]2 years ago
5 0

The slope of the line is -(1/2)

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1. Henri cut a rope into two pieces with lengths having a ratio of 5 to 2. The shorter piece is
ruslelena [56]

The length of the shorter rope is 20 cm.

<h3>How to find the original length of the rope using ratio?</h3>

He cut a rope into two pieces with lengths having a ratio of 5 to 2.

The shorter piece is 70 cm long.

The length of the original rope can be calculated as follows:

The ratio of the length of the rope is as follows;

5 : 2

let

x = length of the original rope

Therefore,

length of shorter piece = 2 / 7 × 70

length of shorter piece = 2 / 7 × 70

length of shorter piece =  140 / 7

length of shorter piece = 20 cm

Therefore, the length of the shorter rope is 20 cm.

learn more on ratio here: brainly.com/question/15418103

#SPJ1

8 0
1 year ago
What equation represents y=2x^2+24x+85 in vertex form
Andrej [43]
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
8 0
3 years ago
There are
cricket20 [7]

Answer:

shoes 324×2 =648

sandals 187×2 = 374

so 374 + 648 = 1022 shoes and sandal pairs

PLEASE MARK AS BRAINLIEST!!!!

ITS URGENT!!

3 0
3 years ago
Read 2 more answers
Plz help I have no idea how to answer it​
saveliy_v [14]

5. Answer: see explanation

<u>Step-by-step explanation:</u>

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0    and      x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0   then  p = -4m   and q = 3m²

3p² = 3(-4m)²               16q = 16(3m²)

      = 3(16m²)                      = 48m²

      = 48m²

3p² = 48m² = 16q     ⇒           3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

<u>Step-by-step explanation:</u>

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

  • Bigger non-shaded Δ: L = 12-x, w = 10  ⇒ A = \dfrac{10(12-x)}{2}
  • Smaller non-shaded Δ: L = x, w = x ⇒ A=\dfrac{x(x)}{2}

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}

Area of ΔBEF:

\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18

5 0
3 years ago
Plz help me plz help me
Nutka1998 [239]

Answer:

A. W

Step-by-step explanation:

Because this is a rigid transformation, quadrilaterals WXYZ and ABCD are congruent. Corresponding parts of corresponding figures are congruent, so W is congruent to A and because we know the measure of angle A, you also know the angle measure of W.

8 0
2 years ago
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