Factor and solve the quadratic equation

x^2 + 2x + 2 = 0

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

[tex]f(x) = 144[/tex]

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

[tex]f(-4) = 10(-4)^{2} + 3(-4) - 4[/tex]

[tex]f(-4) = 10(16) - 12 - 4[/tex]

[tex]f(-4) = 160 - 16[/tex]

[tex]f(-4) = 144[/tex]

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer:

v1 positive v2 negative

Step-by-step explanation:

Answer:

22.55 ft of wood is what mr. webb will have left

Answer:

I am pretty sure it's a

I hope this helps

Answer:

0.487 kg

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Step-by-step explanation:

Given the Regression equation:

Weight = - 5.58 + 0.1686 length

Length of newborn = 48 cm

Actual Weight of newborn = 3kg

Predicted weight from regression model:

Weight = - 5.58 + 0.1686(48)

Predicted Weight = 2.513kg

Hence, residual = (Actual - predicted)

Residual = (3kg - 2.513kg) = 0.487kg

Since the actual weight is more or greater than the predicted weight:

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Answer:

Step-by-step explanation:

Number of red roses = 108

Number of white roses = 144

Number of yellow roses = 48

Number of purple roses = 72

If the number of roses in each bunch are identical,

Number of bunches of roses = HCF of number of roses

Factors of 144 = 3×3×2×2×2×2×1

Factors of 108 = 3×3×3×2×2×1

Factors of 72 = 3×3×2×2×2×1

Factors of 48 = 3×2×2×2×2×1

Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12

Therefore, number of bunches of roses with equal number of roses = 12

Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]

Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]

Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]

Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6

Answer:

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Step-by-step explanation:

The given coordinates of the triangle JKL are;

J(3, 0), K(4, 3), L(6, 0)

The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)

Therefore;

The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)

The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)

The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Answer:

1. m = -3, b = 4

2. m = 0, b = 7

3. m = -1.5, b = -4

4. m = 3, b = 0

5. m = 1.5, b = -7

Answer:

x = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1-x}{1+x}[/tex] = [tex]\frac{2x+1}{-2x+5}[/tex] ( cross- multiply )

(2x + 1)(1 + x) = (1 - x)(- 2x + 5) ← expand parenthesis on both sides using FOIL

2x + 2x² + 1 + x = - 2x + 5 + 2x² - 5x , simplify

2x² + 3x + 1 = 2x² - 7x + 5 ( subtract 2x² from both sides )

3x + 1 = - 7x + 5 ( add 7x to both sides )

10x + 1 = 5 ( subtract 1 from both sides )

10x = 4 ( divide both sides by 10 )

x = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

 x = 2/5

Step-by-step explanation:

[tex]\frac{1-x}{1+x}=\frac{2x+1}{-2x+5}[/tex]

Cross multiply,

(1 - x)(-2x + 5) = (2x +1)(1 + x)

Use FOIL method to multiply,

1*(-2x) + 1*5  - 2x *(-x) + 5*(-x) =2x *1  + 2x *x  + 1*1 + 1*x

             -2x + 5  + 2x² -5x    = 2x + 2x² + 1 + x

Combine like terms,

              -2x - 5x + 2x² + 5 = 2x² + 2x +x  + 1

                      -7x + 2x² + 5 = 2x² + 3x + 1

           -7x + 2x²  - 2x² - 3x  = 1 -  5

                             -7x - 3x    = - 4

                                       -10x = -4

                                          x = -4/-10

                                          x = 2/5

Answer:

30 miles

Step-by-step explanation:

Answer:

They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.

Step-by-step explanation:

Andre ran : 2km/15min = .133333km per min

Jada ran: 3km/20min=.150km per minute

.150>.1333, so Jada ran at a higher rate of kilometers per minute.

Answer:

I am not 100% sure but I think it is

Question 9:

A. (-2, -2)

B. (1, 0)

C. (3, -7)

Question 10:

A. (-1, -3)

B. (-4, -5)

C. (-6, 2)

Answer:

(2x - 9)(2x + 9)

Step-by-step explanation:

4x^2 - 81 = (2x - 9)(2x + 9)

Answer:

(2x+9)(2x-9)

Step-by-step explanation:

kind of simple actually

4x^2-81=(2x+9)(2x-9)

Answer:

x≤2

Step-by-step explanation:

The answer to 5x-6≤2+(3x-4)

Happy Halloween!

Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer: 3 mph.

Step-by-step explanation: If you follow the graph, it shows that in 1 hour she traveled about 3 miles, and in 2 hours, she traveled about 5 miles, and in 3 hours she traveled about 6 miles, and finally, in 4 hours, she traveled 9 miles.

Hope this helped.

Answer:

(21.9, 66.3)

Step-by-step explanation:

Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)

The formula for calculating the midpoint is expressed as;

M = {(x1+y1)/2, (y2+y1)/2}

X = (x1+y1)/2

Y = (y2+y1)/2

From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)

x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5

X = (25.5+18.3)/2

X = 43.8/2

X = 21.9

Y = (72.5+60.1)/2

Y = 132.6/2

Y = 66.3

The midpoint of the coordinates M will be M(21.9, 66.3)

The answeris : y=35x+75

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Answer:

The answer is B: 65.

Angle 8 + angle 7 = right angle + 37 degree

, 62 degree + angle 7 = 127 degree

, angle 7 = 127 degree - 62 degree

, = 65 degree

Answer:

if you divide the rate like this 6oz/10min by two you get 3oz/5min. this  

means 3oz of water drips' in 5min

Answer:

-1.34

Step-by-step explanation:

Answer:

If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.

Step-by-step explanation:

Hope this helped, Have an amazing day!!