1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zepler [3.9K]
3 years ago
13

Please help! -10x

dle" class="latex-formula">-100
Mathematics
1 answer:
Tresset [83]3 years ago
8 0
Get the unknown by itself: Divide both sides by -10: X≤10. Since you divided by a negative number the less than sign became a greater than sign. I hope that makes sense :)
You might be interested in
3 (x - 2) = 7 – (4 - x)​
larisa [96]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=92x=92

Decimal Form:

x=4.5x=4.5

Mixed Number Form:

x=412x=412

7 0
3 years ago
Read 2 more answers
Part B
alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment  AC represent the base of the triangle.

(a)  Find the equation of the line passing through B and perpendicular to the line AC

(b)  Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

y = \frac{1}{5}x + \frac{12}{5}

D = (\frac{43}{26},\frac{71}{26})

Step-by-step explanation:

Given

\triangle ABC

A = (2,1)

B = (3,3)

C = (1,6)

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

A = (2,1) --- (x_1,y_1)

C = (1,6) --- (x_2,y_2)

The slope is:

m = \frac{6- 1}{1 - 2}

m = \frac{5}{-1}

m = -5

The slope of the line that passes through B is calculated as:

m_2 = -\frac{1}{m} --- because it is perpendicular to AC.

So, we have:

m_2 = -\frac{1}{-5}

m_2 = \frac{1}{5}

The equation of the line is the calculated using:

m_2 = \frac{y_2 - y_1}{x_2 - x_1}

Where:

m_2 = \frac{1}{5}

B = (3,3) --- (x_1,y_1)

(x_2,y_2) = (x,y)

So, we have:

\frac{1}{5} = \frac{y - 3}{x - 3}

Cross multiply

5(y-3) = 1(x - 3)

5y - 15 = x - 3

5y  = x - 3 + 15

5y  = x +12

Make y the subject

y = \frac{1}{5}x + \frac{12}{5}

Solving (b): Point of intersection between AC and y = \frac{1}{5}x + \frac{12}{5}

First, calculate the equation of AC using:

y = m(x - x_1) + y_1

Where:

A = (2,1) --- (x_1,y_1)

m = -5

So:

y=-5(x - 2) + 1

y=-5x + 10 + 1

y=-5x + 11

So, we have:

y=-5x + 11 and y = \frac{1}{5}x + \frac{12}{5}

Equate both to solve for x

i.e.

y = y

-5x + 11 = \frac{1}{5}x + \frac{12}{5}

Collect like terms

-5x -\frac{1}{5}x = \frac{12}{5} - 11

Multiply through by 5

-25x-x = 12 - 55

Collect like terms

-26x = -43

Solve for x

x = \frac{-43}{-26}

x = \frac{43}{26}

Substitute x = \frac{43}{26} in y=-5x + 11

y = -5 * \frac{43}{26} + 11

y =  \frac{-5 *43}{26} + 11

Take LCM

y =  \frac{-5 *43+11 * 26}{26}

y =  \frac{71}{26}

Hence, the coordinates of D is:

D = (\frac{43}{26},\frac{71}{26})

3 0
2 years ago
Subject Algebra 1
Mashutka [201]

Answer:

10x^{2}-34

Step-by-step explanation:

Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

2((3x^{2}+x^{2}-5)+(x^{2}-12))

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

2(5x^{2}-17)

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

10x^{2}-34

6 0
3 years ago
A projectile is fired from a cliff feet above the water at an inclination of​ 45° to the​ horizontal, with a muzzle velocity of
Anastasy [175]

Answer:

$170 Feet

Step-by-step explanation:

It is very long process

4 0
2 years ago
Ben is 4 times as old as bill and is also 6 years older than bill. How old is Ben?
stich3 [128]
I think the answer is 24 hope this helps XD
5 0
3 years ago
Other questions:
  • (2pm^-1q^0)^-4 • 2m ^-1 p^3 / 2pq^2
    5·1 answer
  • Determining Sine and Cosine Values
    9·1 answer
  • NEED HELP ASAP PLEASE
    8·1 answer
  • Write and solve an equation to find the unknown angle.
    11·1 answer
  • Corresponding sides of the dilated figure and the original figure proportional true or false
    15·1 answer
  • What is the value of the expression when p=5?<br><br> -|-3p|
    6·2 answers
  • Macy described four triangles as shown below:
    14·1 answer
  • Write the equation of the line in slope-intercept form. m=5/9 y-intercept (0,2) 2 The equation of the line in slope-intercept fo
    15·1 answer
  • Find m∠C. Put the answer below.<br> m∠C =
    5·1 answer
  • 4) Cody invests $2,733 in a retirement
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!