What is the solution to this sysiem of inear equacions?
3x-2= 14
5x+y=32
• (3,5)
• (6,2)
• (8,-1)
• (14,-18)

Answer:

A = 5x + 5

Step-by-step explanation:

Area of Parallelogram Formula: A = bh

Since we are given b = 5 and h = x + 1, simply plug it into the formula:

A = 5(x + 1)

A = 5x + 5

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▹ Answer

A = 5x + 5

▹ Step-by-Step Explanation

A = bh

A = 5(x + 1)

A = 5x + 5

Hope this helps!

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Answer:<5 and <4 are exterior angles

Step-by-step explanation:

Because they are the only ones outside it they are the only ones that are exterior angles!

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Answer:

for AL Its 3 and 4

Answer:

40 because (8)(5)=40 when you add the numbers inside the parenthesis

Step-by-step explanation:

Look at my picture for the written work for ANOTHER method

To solve this problem, you use the method called FOIL.

F= multiply the FIRST terms

O= multiply the OUTTER terms

I= multiply the INNER terms

L= multiply the LAST terms

Please rate this the brainlist if this helped, thanks!

Answer:

[tex]40[/tex]

Step-by-step explanation:

[tex](2+6)(2+3)[/tex]

Solve brackets.

[tex](8)(5)[/tex]

Multiply.

[tex]=40[/tex]

Answer:

  x ║ z

Step-by-step explanation:

Lines parallel to the same line are parallel to each other.

x and z are both parallel to y, so are parallel to each other:

  x ║ z

Answer:

4(x + 1) = 16

x + 1 = 4 (Divide equation by 4)

x = 3 (subtract 1)

Answer:

x = 3

Step-by-step explanation:

4(x + 1)=16

Expand the brackets.

4x + 4 = 16

Subtract 4 on both sides.

4x + 4 - 4 = 16 - 4

4x = 12

Divide both sides by 4.

4x/4 = 12/4

x = 3

Answer:

-11

Step-by-step explanation:

Our function is 2x-13x+5

Answer: 1x + 2y = 4

Step-by-step explanation:

The equation of the line is y = -1/2x + 2.

First, let's make 4 on one side of the equation.  First, bring x to the left.  y + 1/2x = 2.  Then multiply the whole equation by two.  Thus, 1x + 2y = 4.

Hope it helps <3

Answer:

Third graph from the top

Step-by-step explanation:

A proportional relationship is a straight line that goes through the point (0,0)

Answer:

Step-by-step explanation:

The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).

Hope this helps, if not, tell me and I shall try again

Answer:

94 cm

Step-by-step explanation:

The formula for finding the circumference of a circle is;

Circumference = 2πr

where π = [tex]\frac{22}{7}[/tex] or 3.14 and

r = radius

Here radius is 15 cm so;

Circumference = [tex]2 * \frac{22}{7} * 15[/tex]

                         = [tex]\frac{660}{7}[/tex]cm

                         = 94.28cm

                         = 94 cm (  rounded to the nearest centimetre )

The time it takes them to make 1300 soccer kicks together is 51 minutes

Writing this as a coordinate (x, y). If Kendra can make 120 soccer kicks in 3 minutes and Jovani can make 100 soccer kicks in 4 minutes, this can be written in a coordinate form as (3, 120) and (4, 100)

The standard linear equation is given as y = mx + b

Get the slope:

m = 100-120/4-3

m = -20/1

m = -20

Get the y-intercept:

Recall that y = mx + b

120 = -20(3) + b

120 = -60 + b

b = 180

The required equation is g(x) = -20x + 180

To determine the time it will take them to make 1300 soccer kicks together, substitute g(x) = 1300 and find "x"

1300 = -20x + 180

20x = 1200 - 180

20x = 1020

x = 51 minutes

Hence the time it takes them to make 1300 soccer kicks together is 51 minutes

Learn more on equations here: https://brainly.com/question/11408596

Answer:

y = 1 and x = 1

Step-by-step explanation:

We are given the equation  y=−5x+6    and    y=3x-2

because both of these equations have y on one side we can substitute the equation as

-5x+6 = 3x-2

(subtract 3x)

-8x+6 = -2

(subtract 6)

-8x = -8

(divide by -8)

x=1

Then all we need to do is put x into the equation

y=-5(1) +6

y = -5+6

y = 1

The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?

Explanation:

Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.

On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.

Answer:

what is your problem

Step-by-step explanation:

Answer:

y = -3x+6

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = -3x +b

Substitute the point into the equation

-6 = -3*4+b

-6 =-12+b

Add 12 to each side

-6+12 =-12+12+b

6=b

y = -3x+6

Answer:

Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Step-by-step explanation:

The question is incomplete:

In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.

This is a hypothesis test for a proportion.

The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.05.

The sample has a size n=1487.

The sample proportion is p=0.53.

[tex]p=X/n=788/1487=0.53[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.288)=0.011[/tex]

As the P-value (0.011) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Answer:12.4

Step-by-step explanation:

hyp=16,opp=x

sin 51°=[tex]\frac{x}{16}[/tex]

cross multipy

sin 51° x 16 = x

x=0.7771 x 16

x≅12.4

Answer:

the first one

Step-by-step explanation:

i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies

Answer:

t/4 = b aka the first one

Step-by-step explanation:

t/4 is the same as b

Answer:

She would spend $52.50.

Step-by-step explanation:

c = 3.5t

c = 3.5(15)

c = $52.50

Hope this helped! :)

Answer:

328.48

Step-by-step explanation:

Answer:

- 5i.

Step-by-step explanation:

( 1 + 2 i ) ( − 2 − 1 i )

= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i

= -2 - i - 4i - 2i^2           i^2 = -1 so we have:

-2 - 5i +2

= 0 - 5i

= -5i.

Answer:

First, convert 13.5 m/s to km/hr

13.5 x 3.6 = 48.6 km/hr

This is below the speed limit of 50 km/hr

Answer:

48600/hour × 1/1000= 48.6km/h

Step-by-step explanation:

Answer:

The margin of error of this confidence interval is MOE=0.085.

Step-by-step explanation:

The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.

Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:

[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]

Answer:

w=7

Step-by-step explanation:

1. -8+5w=27

2. add 8 to both sides: 8+-8+5w=27+8

3. Simplify: 5w=35

4. Divide both sides by 5: 5w/5=35/5

5. w=7

Hope This Helps :)

Answer:

w = 7

Step-by-step explanation:

-8 + 5w = 27

Add 8 on both sides.

-8 + 5w + 8 = 27 + 8

5w = 35

Divide both sides by 5.

5w/5 = 35/5

w = 7

Answer:

D. [tex]tan(30^\circ+45^\circ)[/tex] is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

[tex]\angle DCB =45^\circ\\\angle ACB =75^\circ\\[/tex]

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the [tex]\triangle ABC[/tex], we are given the base BC and the [tex]\angle ACB[/tex], and the perpendicular is to be find out.

We can use trigonometric identity:

[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]

[tex]tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft[/tex]

Hence, D. [tex]tan(30^\circ+45^\circ)[/tex] is the correct answer.

Answer:

D

Step-by-step explanation:

Answer:

A : [tex]5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

Because you're multiplying two numbers with the same base, you can add their exponents:

[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]

[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]

Answer:

x > 9

Step-by-step explanation:

Simply divide both sides by 4:

4x/4 > 36/4

x > 36/4

x > 9

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▹ Answer

x > 9

▹ Step-by-Step Explanation

4x > 36

---     --- → x > 9

4       4

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

C

Step-by-step explanation:

Recall the equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.

The given equation is:

[tex](x+5)^2+(y+7)^2=21^2[/tex]

Another way to write this is:

[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).

Answer:

Option A is the right option

Step-by-step explanation:

BO is bisector of line AC

so,

AB=BC

AC=AB+BC

=8+8

= 16

Hope this helps...

Good luck on your assignment....

Answer:

16

Step-by-step explanation

BD is perpendicular bisector of AC so BC is 8.

8+8=16

Answer:

1/6

1/14

5/64

3/8

Step-by-step explanation:

Easiest and fastest way to evaluate these is to plug it into a calc.