1st Question

3x + 8y = -4

2x - 4y = 16

2nd Question

6x - y = 16

x = 4y - 5

3rd Question

x + y = 19

3x - 2y = -3

[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]

This equation has the next form:

[tex] {ax}^{2} + bx + c = 0[/tex]

To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:

[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]

Then, the first case has two complex solutions.

In the second case,

[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]

The discriminant in this case is:

[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]

Then, the second case has two complex solutions.

In the third case,

[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]

The discriminant in this case is:

[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]

Then, the third case has two real solutions.

In the fourth case,

[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]

The discriminant in this case is:

[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]

Then, the fourth case has two complex solutions.

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

[tex]x^{2}-3x-28[/tex]

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

Answer:

3/16

Step-by-step explanation:

5 blue, 6 red, 3 black, and 2 yellow

total number of marbles = 5 + 6 + 3 + 2 = 16

p(black) = (number of black marbles)/(total number of marbles)

p(black) = 3/16

Answer: 3/16

Answer:

3/16

Step-by-step explanation:

add up all of the marbles then find out how many black marbles you have. Then you end up with 3/16

Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

Answer:

45/4     7/2     9/2

Step-by-step explanation:

I'm not sure if this is what you wanted so if its not sorry.

Answer:

B

Step-by-step explanation:

The triangles XYZ and ABC are congruent by SAS postulate.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given two triangles XYZ and ABC.

If the two triangles are congruent, their corresponding sides and angles must be equal.

Given,

∠Y = ∠B

XY ≅ AB

YZ ≅ BC

SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.

So, ΔXYZ ≅ ΔABC by SAS postulate.

Hence the two triangles are congruent by SAS postulate.

Learn more about Congruence of Triangles here :

https://brainly.com/question/20521780

#SPJ7

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

Answer:

∡x°=35°

Step-by-step explanation:

x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°

Answer:

142

Step-by-step explanation:

180-10-28 = 142

hope this helps

Answer:

∡3=142°

Step-by-step explanation:

∠3 and 38° are supplementary angles, which means their sum must equal 180°, therefore, we make an equation and solve for ∡3:

∠3+38°=180°

∡3=142°

So ∡3=142°

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

A1 = π [tex]r^{2}[/tex]                     ; where r = radius

A2 = (π [tex]r^{2}[/tex]) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π [tex]r^{2}[/tex]) * (h)  

h = 15cm

Answer:

I DONT KNOW  THE ANSWER

Step-by-step explanation:

Answer:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

Answer:

Hi how are you doing today Jasmine

Answer:

The hight written in digital is 14286

Answer:

45 ways

Step-by-step explanation:

5*3*3 = 45

Answer:

45

Step-by-step explanation:

5*3*3

5*3=15

15*3=45

Answer:

your answer is "17.6666666667"

Step-by-step explanation:

Answer:

1350π [tex]cm^3[/tex] should be your answer

Step-by-step explanation:

15 x 15 x π = 225π

225π x 6 = 1350π

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.

There are 2 ways he wrote it: French and English

4*2=8

He wrote his name in 8 different ways.

Answer:

Can i get an image of thw question please?

Step-by-step explanation:

North

The northern soil and climate favored smaller farmsteads rather than large plantations. Industry flourished, fueled by more abundant natural resources than in the South, and many large cities were established (New York was the largest city with more than 800,000 inhabitants). By 1860, one quarter of all Northerners lived in urban areas. Between 1800 and 1860, the percentage of laborers working in agricultural pursuits dropped drastically from 70% to only 40%. Slavery had died out, replaced in the cities and factories by immigrant labor from Europe. In fact an overwhelming majority of immigrants, seven out of every eight, settled in the North rather than the South. Transportation was easier in the North, which boasted more than two-thirds of the railroad tracks in the country and the economy was on an upswing.

Far more Northerners than Southerners belonged to the Whig/Republican political party and they were far more likely to have careers in business, medicine, or education. In fact, an engineer was six times as likely to be from the North as from the South. Northern children were slightly more prone to attend school than Southern children.

South

The fertile soil and warm climate of the South made it ideal for large-scale farms and crops like tobacco and cotton. Because agriculture was so profitable few Southerners saw a need for industrial development. Eighty percent of the labor force worked on the farm. Although two-thirds of Southerners owned no slaves at all, by 1860 the South's "peculiar institution" was inextricably tied to the region's economy and culture. In fact, there were almost as many blacks - but slaves and free - in the South as there were whites (4 million blacks and 5.5 million whites). There were no large cities aside from New Orleans, and most of the ones that did exist were located on rivers and coasts as shipping ports to send agricultural produce to European or Northern destinations.

Only one-tenth of Southerners lived in urban areas and transportation between cities was difficult, except by water.  Only 35% of the nation's train tracks were located in the South. Also, in 1860, the South's agricultural economy was beginning to stall while the Northern manufacturers were experiencing a boom.

A slightly smaller percentage of white Southerners were literate than their Northern counterparts, and Southern children tended to spend less time in school. As adults, Southern men tended to belong to the Democratic political party and gravitated toward military careers as well as agriculture.