What is the solution to the system of equations 3x + 5y = -1
?
6x - 4y = 26

Answer:

Step-by-step explanation:

Complete the square

[tex]x^{2}[/tex] + 2x - 13 = 0

[tex]x^{2}[/tex] + 2x        = 13

[tex]x^{2}[/tex] + 2x + [tex]1^{2}[/tex] = 13 +1 (take 1/2 of the b term , the 2 )

[tex]x^{2}[/tex] + 2x + 1 = 14

(x +1)^2 = 14

Answer:

Complete the square:

Answer:

Answer: 51.3∘ and 128.7∘

Step-by-step explanation:

In ΔUVW, w = 5.3 inches, v = 3.6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree.

We solve the above question using sine rule formula. This is given as:

w/sin W = v/sin V

w = 5.3 inches

v = 3.6 inches

∠V=32°.

5.3/sin W = 3.6/sin 32

Cross Multiply

sin W × 3.6 = 5.5 × sin 32

sin W = 5.5 × sin 32/3.6

W = arc sin (5.5 × sin 32/3.6)

W = 51.28° or 128.72°

Approximately

= 51.3° or 128.7°

Answer:

128.7

Step-by-step explanation:

deltamath

Answer:

6, 3.5.

Step-by-step explanation:

Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.

Answer:

need more information

Step-by-step explanation:

all you told us is what's happening in this picture. that's why you cant get help.

To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer:

A.) The similar triangle help to show that the slope of the line is -2

Step-by-step explanation:

I'm so sorry this is late, but if it's on odyssey, I can guarantee this is right

Answer:

Q1)

GIVEN :-

TO FIND :-

FORMULAES TO KNOW BEFORE SOLVING :-

PROCEDURE :-

In the figure , the cone is mounted on a hemisphere.

⇒ Radius of cone = Radius of hemisphere = 4.5m

Total surface area of the figure = Curved surface area of both cone & hemisphere.

⇒

∴ Total surface area = 183.7 + 127.1 = 310.8m²

Q2)

GIVEN :-

TO FIND :-

FORMULAES TO KNOW BEFORE SOLVING :-

PROCEDURE :-

Volume of hemisphere = [tex]\frac{2}{3} \pi r^3 = \frac{2}{3} \times 3.14 \times (3)^3 = 56.52km^3[/tex] ≈ 56.5km³

Surface area of hemisphere = [tex]2\pi r^2 = 2 \times 3.14 \times (3)^2 = 56.52km^2[/tex] ≈ 56.5km²

Answer:

166mm

Step-by-step explanation:

i am smart

Answer:

146 mm²

Step-by-step explanation:

First, let's start with the formula for the surface area of a rectangular prism.

A = 2(wl + hl + hw)

Plug in everything that you know.

A = 2[(4 · 5) + (7 · 5) + (7 · 4)]

Simply the equation.

A = 2(20 + 35 + 28)

A = 2(73)

A = 146

Answer:

Maybe the 20-x/20 part is wrong. Maybe it's 10-x/10?

Step-by-step explanation:

I'm sorry I dont really know so I hope this helps you!

Answer:

a = 40

Step-by-step explanation:

This is a complementary angle so it will add up to 90 degrees 90 - 50 = 40 so 40 is the missing angle hope this helps you!

Answer: 22

Step-by-step explanation:

Given

Brittney has 2 and  [tex]\frac{3}{4}[/tex] yards of fabric

Converting it to a fraction

[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{8+3}{4}\\\\\Rightarrow \dfrac{11}{4}[/tex]

Wreath require [tex]\frac{1}{8}[/tex] yards

Number of wreaths that can be made

[tex]\Rightarrow n=\dfrac{\frac{11}{4}}{\frac{1}{8}}\\\\\Rightarrow n=\dfrac{11}{4}\times \dfrac{8}{1}\\\\\Rightarrow n=22[/tex]

She can make 22 wreaths

Answer:

mean is 63 median is 68 and range is 44

Answer:

C

Step-by-step explanation:

A. [tex]\frac{20-5}{(-2)-(-1)} = \frac{15}{-1} = -15[/tex]

    [tex]\frac{5-0}{(-1)-0} = \frac{-5}{1} = -5[/tex]

NOT LINEAR

B. [tex]\frac{(-6)-1}{(-2)-(-1)} = \frac{-7}{-1} = 7[/tex]

    [tex]\frac{1-2}{(-1)-0} = \frac{-1}{-1} = 1[/tex]

NOT LINEAR

C. [tex]\frac{9.4-6.2}{(-2)-(-1)} = \frac{3.2}{1} = -3.2[/tex]

   [tex]\frac{6.2-3}{(-1)-0} = \frac{3.2}{-1} = -3.2[/tex]

   [tex]\frac{3-(-0.2)}{0-1} = \frac{3.2}{-1} = -3.2[/tex]

LINEAR

Answer:

D. EF is longer than EG.

Step-by-step explanation:

I took the quiz

Answer:

y = -3/2x + 2

Step-by-step explanation:

The equation has the format  y = mx + b  where  m  is the slope and  b  is the y-intercept.

The question gives you the y-intercept, so  b = 2.

As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.

The slope of the line given in the question is 2/3.  The opposite reciprocal of 2/3  is  - 3/2.

The equation for the line is  y = -3/2x + 2

3)

26 + ( 3x + 1 ) = 180

27 + 3x = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51

___________________

4)

( 4x + 1 ) + ( 3x + 4 ) = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/5

x = 25

Answer:

3) [tex]x=51[/tex]

4)[tex]x=25[/tex]

Step-by-step explanation:

[tex]3) ~ 3x+1+26=180\\ \\ ~ (linear ~pair)[/tex]

[tex]3x+27=180\\~ ~ -27 ~ ~-27[/tex]

[tex]subtract ~ -27 ~ from ~ both ~ sides[/tex]

[tex]\frac{3x}{3} =\frac{153}{3}[/tex]

[tex]x=51[/tex]

--------------------------

[tex]4)~ 4x+1+4+3x=180[/tex]

[tex]7x=180-5[/tex]

[tex]x=\frac{175}{7}[/tex]

[tex]x=25[/tex]

----------------------------

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

She walked 9 blocks to the store

Answer:

9 blocks

Step-by-step explanation:

Answer: how high off the ground was the ball when it was thrown

Step-by-step explanation:

Answer:

3√3 + 1√7

Step-by-step explanation:

Answer:

7.84 or 3√3+√7

Step-by-step explanation:

Answer:

The answers are shell tooth bone

Step-by-step explanation:

Answer:

footprint, shell,

Step-by-step explanation:

trace fossils are non physical fossils. since shells are imprints instead of actual shell fossils, shell and footprint is the correct answer

Answer:

Lateral surface area of cone = π(3)(5)

Lateral surface area of cone = 47.1 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of cone = 3 unit

Height of cone = 4 unit

Find:

Lateral surface area of cone

Computation:

Slant height of cone = √Radius² + Height²

Slant height of cone = √3² + 4²

Slant height of cone = √9 + 16

Slant height of cone = √25

Slant height of cone = 5 unit

Lateral surface area of cone = πrl

Lateral surface area of cone = π(3)(5)

Lateral surface area of cone = (3.14)(15)

Lateral surface area of cone = 47.1 unit² (Approx.)

Answer:

Rectangular pyramid : Faces, Vertices, Edges = 5 , 5 , 8 respectively

Step-by-step explanation:

Rectangular pyramid is a 3D shape, with base as rectangle & triangle face corresponding to each side of base (on the top)

Faces = 5 { 1 rectangular base face , 4 triangular faces above}

Vertices = 5 { 4 vertices of rectangle, 1 vertice on top - where triangles' tips intersect}

Edges = 8 {4 edges of rectangle at base , 4 edges of triangles above}

Answer:

b. 5, 5, 8

Step-by-step explanation:

i did the assignment and this was the correct answer <3

Answer:

x = 4.4

Step-by-step explanation:

I'm going to assume you want to solve for x so here we go.

You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.

First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.

Your equation is now 5x=22.

Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4

Therefore, x = 4.4

Step-by-step explanation:

42. 9025 (95% of 9500 or 0.95 x 9500)

43. 279 ( 279 + 861= 1140; 1140 is 12% of 9500 or 0.12 x 9500)

Answer:

42

Step-by-step explanation:

4+4+4+4+6+6+6+6 = 42