4x + 5y = -10
4x + 3y = -22
Solve by using the method of elimination

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Answer:

The temperature is [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

[tex]F= (C*1.8) + 32[/tex]

Required

Find F when [tex]C = 10[/tex]

[tex]F= (C*1.8) + 32[/tex]

Substitute 10 for C

[tex]F = 10 * 1.8 + 32[/tex]

[tex]F = 18 + 32[/tex]

[tex]F = 50[/tex]

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Answer:

acute

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

∠LAF is 70°. Since it has an angle measurement of less than 90°, it is known as an acute angle.

Answer:

-2/2 or simplify to =-1

Step-by-step explanation:

you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.

Answer:true

Step-by-step explanation:

Answer:

b=2√7 ≈ 5.29 meters

Step-by-step explanation:

think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse

a²+b²=c²

6²+b² =8²

b²= 8²-6²=28

b=√28 =2√7 ≈ 5.29 meters

Answer:

x = 5, x = 2

Step-by-step explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2

Answer:

a. $105

b. $455

Step-by-step explanation:

Answer: Answer Is C

Step-by-step explanation: Did the Quiz test thing

Answer:

C. 6p3 – 23p2 + 9p + 28

Step-by-step explanation:

edge

Answer:

I think it is 4/5 because when you have a remainder you put it on top over the first number (5)

Step-by-step explanation:

Hope this helped and sorry if this didn't help :(

Answer:

21

Step-by-step explanation:

5 * (4*5+1)/5

= 5 * 21 / 5

= 21

Hope it will help

Answer:

The median is 5.5

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

When x = -4, y = 5. => (5) = m(-4) + c,

5 = -4m + (3), -4m = 2, m = -0.5.

Hence the answer is y = -0.5x + 3.

Answer:

y=-[tex]\frac{1}{2}[/tex]+3

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

=[tex]\frac{5-3}{-4-0}[/tex]

=2/-4

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

next, calculate b by substituting a point (0, 3) into the equation

y=mx+b

3=(-1/2)(0)+b

b=3

final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3

Answer:

480 seconds per day

Step-by-step explanation:

There are 24 hours in a day, 24*20=480 seconds per day

The number of seconds the given clock loses in a day is required.

The number of seconds lost by the clock in one day is 240 seconds.

The clock loses 20 seconds every hour.

A day has 24 hours.

If 20 seconds is lost every hour then the 20 seconds has to be added 24 times or the 20 has to be multiplied by 24.

So,

[tex]20\times 24=480\ \text{s}[/tex]

Learn more about algebra:

https://brainly.com/question/6143254

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation:

Answer:

75 cents per can

Step-by-step explanation:

8 for $6 = 75 cents per can

10 for $10 = $1 per can

2 for $3 = $1.50 per can

The last store sold 28-oz for $1.40 each

To obtain the cost per 15-oz can of baked beans

28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.

The price per can will now be :

$1.40 / 1.8666666

= $0.75

= 0.75 * 100 = 75 cents

Hence, for the last store, they sold at 75 cents per can similar to the first store.

Answer:

75

Step-by-step explanation:

it is

Answer: 2,385

Step-by-step explanation:

Answer:

2 out of every 5; 2:3; 2:5

Step-by-step explanation:

2 out of every 5 means that out of 5, he/she picks two (leftover 3)

the other choices are a ratio of if he/she has 2 of that then they will also have 5 of this

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex]      ................1

put here value and we get

monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]

monthly payment =  $56.445

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.

Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.

Hint: 1 Hundredth is equal to 1 whole.

Answer:

Its B :)

Step-by-step explanation:

Look at the graph points and match them with the choices

Answer:

B) 42 Degrees

Step-by-step explanation:

An angle bisector is basically a line that splits an angle into two congruent angles.

In this case, the large angle ABC is bisected by ray BD.

Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.

Let me know if this helps!

Answer:

x = 26°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray NC bisects ∠WNB

→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.

∴ m∠WNC = m∠CNB

∵ m∠WNC = 3v - 4

∵ m∠CNB = 2v + 6

→ Equate the measures of the two angles

∴ 3v - 4 = 2v + 6

→ Add 4 to both sides

∵ 3v - 4 + 4 = 2v + 6 + 4

∴ 3v = 2v + 10

→ Subtract 2v from both sides

∵ 3v - 2v = 2v - 2v + 10

∴ v = 10

∵ x = m∠WNC

∴ x = 3v - 4

→ Substitute v by 10

∵ x = 3(10) - 4

∴ x = 30 - 4

∴ x = 26°

Answer:

the best possiable prediction is 2/6

Step-by-step explanation: