Let a and b be the two numbers. Then
a + b = -4
a b = -2
Solve the second equation for b :
b = -2/a
Substitute this into the first equation:
a - 2/a = -4
Multiply both sides by a :
a² - 2 = -4a
Move 4a to the left side:
a² + 4a - 2 = 0
Use the quadratic formula to solve for a :
a = (-4 ± √(4² - 4(-2))) / 2
a = -2 ± √6
If a = -2 + √6, then
-2 + √6 + b = -4
b = -2 - √6
In the other case, we end up with the same numbers, but a and b are swapped.
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?
Answer:
y = -x + 9
Step-by-step explanation:
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9
In the figure above, AC = BC. If m
Answer:
80 degrees
Step-by-step explanation:
since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
Find each percentage of 75. Explain your reasoning.
What is 10% of 75?
What is 1% of 75?
What is 0.1% of 75?
What is 0.5% of 75?
A limited government is a system in which the people and their leader(s) create a __________ that limits the government's authority over the people. A. constitution B. warranty C. pardon D. treaty Please select the best answer from the choices provided A B C D
Answer:
The answer for this question is
A. Constitution
Hope it helps
Answer:
A.
Step-by-step explanation:
constitution
hope it helps!
What can equal 628 by multiplying? These things can be soooo challenging these days.
Answer:
314 * 2
Step-by-step explanation:
ahhhh I need help please!!
Answer:
two teaspoons i think sorry if this doesnt help
Step-by-step explanation:
Help on this please
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
What is the stored energy of an object called?
Kinetic energy
Mechanical energy
Potential energy
Translational energy
Answer:
potential energy
Step-by-step explanation:
because when an object has stored energy its call potential but if it was kenetic energy the energy would have to move
Answer:
C
Step-by-step explanation:
The table represents the equation y=2-4x. Use the drop-down menus to complete the statements.The x-values are the . The y-values are the . The missing value in the table for x = –1 is y =
Answer:
y=2-4x
y=2-4*1
y=2
y=2-4*2
y=2-6
y=-4
y=2-4*3
y=2-12
y=-10
The x values are the 1,2,3. The y values are the 2, -4,-10
y=2-4x
x=-1 , y=__
substitute x value with -1
y=2-4*-1
y=2-(-4)
y=2+4
y=6
x=-1, y=6
How much closer to the sun is one planet than the other?
Answer:
C. 7.79 x 10^8
Step-by-step explanation:
Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)
so first we find out how much are in the parentheses :D
(8.7 x 10^8) = 870,000,000
(9.1 x 10^7) = 91,000,000
now you subtract 870,000,000 by 91,000,000.
870,000,000
- 91,000,000
---------------------
779,000,000
converted back to standard form...
7.79 x 10^8
(seven and seventy-ninths multiplied by ten to the eighth power)
<3 Enjoy,
Dea
Answer:
i think the answer if C if y get it wrong im sooo sorry
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
5
Step-by-step explanation:
Plz can you help me out with this question..
Answer:
86%
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum for the class is calculated as
[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )
sum = 2100
The sum of the 20 boys is
[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )
sum = 1240
The sum for the 10 girls is therefore 2100 - 1240 = 860
Thus the mean mark for the girls is
mean = [tex]\frac{860}{10}[/tex] = 86%
Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ7
please help, im almost out of time
Answer:18
Step-by-step explanation:
An
art teacher makes a batch of green paint by mixing
4/5
cup yellow paint with 4/5
cup blue paint. If she mixes 11 batches, how many cups of green paint will she have?
Answer:
She will have 17 and 3/5 cups of green paint.
Step-by-step explanation:
1. Identify your key factors:
Yellow paint: 4/5
Blue paint: 4/5
Mixes: 11 batches.
2. Arrange and solve:
4/5 x 11/1 = 44/5 x 2/1 = 88/5
[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]
3. Simplify:
17 3/5, decimal 17.6
Answer:
A right 2 1 up
B the equivalent ratios
C the same
Step-by-step explanation:
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
hiiiiiii hiiiiiiiii ji
Answer:
hlo thanks for free points ❤️❤️
Which of the following is NOT a renewable resource?
Animals
Plants
Oil
Clothing
Answer:
Oil is not renewable because it uses fossil fuels from dinos, which do not exist anymore, so they are limited
Step-by-step explanation:
NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]
Answer:
455.1 cm²
Step-by-step explanation:
The two containers have the following;
Large container
Volume : 3456 cm³
Surface area : 1024 cm²
Small container
Volume : 1458 cm³
Surface area : ?
If the two containers are mathematically similar then first find the volume scale factor
Volume of large/ volume of small
3456/1024 = 3.375
Length scale factor will be cube root of volume scale factor
∛3.375 = 1.5
Area scale factor is a square of the length scale factor
=1.5² = 2.25
=Surface area of the small container will be :
Larger area = 2.25 * small area
1024 = 2.25 * small area
1024/2.25 = small area
Surface area of the smaller container 455.1 cm².
pls help me the tables shows the relationship between a number of movies tickets and cost which expression can be used to determine the constant proportionality? pls for 25 points
Answer:
H
Step-by-step explanation:
Please help fast I will give brainless an extra points!
Answer:
-23
Step-by-step explanation:
h(-3) = (-3)^3 + 4
= -27 + 4
= -23
Answer:
-23 hope that helps :)
Step-by-step explanation:
x
This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.
How many hours will I have been awake when my
computer has no charge left?
Use the sketch tool if it helps you with your thinking.
Submit and Explain
Answer: It's 4.5 hope it's right, bye
Answer:
Step-by-step explanation:
Which quadrant is the following point in?
Point A (1,3)
Answer:
Its first quadrant bro.
What is the solution to the equation?
3(+ 9)4
24
A.
-3
O
B.
6
OC.
7.
OD. 25
Reset
Answer:
7
Step-by-step explanation:
[tex]3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7[/tex]
-5 + n/2 = -7 what does it equal?
n = -4 because youre finding the n
Answer:
n = -9
Step-by-step explanation:
Multiply 2 by both sides to cancel out the fraction which will leave -5 + n = -14. Lastly add 5 on both sides which the final answer would be n = -9.
What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answer:30,000
Step-by-step explanation:
Natural gas high amounts of energy when burned and produces less air pollution than other fossil fuels.
true or false??
Johnson Junior High School had 600 students. 25% of the students were in 6th grade, 36% of
the students were 7th graders, and the rest were 8th graders.
How many students were 8th graders?